CODE: VIDWAN–LAVA–F1–03–0001 ORMULA ONE …vidwanclasses.com/Admin-student/QPaper/VF1T 2017 Question papers... · phones, pagers, and electronic gadgets in any form are not

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VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class - V

Head Office.: 20, Kharvel Nagar, Unit – III, Ph. : 0674-2531120, Medical Wing.: Plot No.:-34, Unit-III, Kharvel Nagar.

BBSR. (M): 9777440454. Rourkela Office : E-11, Koel Nagar, Rourkela, Odisha. Ph : (M) 9238111550

Maximum Marks : 240Time Allotted: 2 Hrs.

Please read the instructions carefully. You are allotted 5 minutes specifically forthis purpose.

You are not allowed to leave the Examination Hall before the end of the test.

INSTRUCTIONS

Name of theCandidate

Father’s Name

Enrollment No.

ORM

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ON

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EST

Head Office.: 20, Kharvel Nagar, Unit – III, Ph. : 0674-2531120, Medical Wing.: Plot No.:-34, Unit-III, Kharvel Nagar. BBSR.(M): 9777440454. Rourkela Office : E-11, Koel Nagar, Rourkela, Odisha. Ph : 0661-2470026, (M) 9238111550

Email: [email protected] Website: www.vidwanclasses.com

Dat

e.:1

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A. General Instructions1. This booklet is your Question paper containing 60 questions.

All questions are compulsory.2. The question paper having Scientific Aptitude, Maths & General

Science.Marking Scheme :

+4 for Correct Answer-1 for Wrong Answer.

3. Blank papers, clipboards, log tables, slide rules, calculators, cellularphones, pagers, and electronic gadgets in any form are not allowed tobe carried inside the examination hall.

4. Fill in the boxes provided below on this page and also write yourName & Enrollment No. In the space provided.

5. The answer sheet, a machine-readable (OMR), is provided separately.6. DO NOT TAMPER WITH/ MUTILATE THE OMR OR THE BOOKLET.7. Do not open the question-paper booklet before being instructed to do so

by the invigilators.B. Filling the OMR8. On the Response sheet, write in Black Ball Point Pen, your name, your

Enrollment No.and Name of the Centre. Do not write these anywhereelse.

9. Rough spaces are provided for rough work inside the question paper. Noadditional sheets will be provided for rough work.

10. Use Only Black Ball Point Pen to Darken the OMR Sheet

3rd E

DIT

ION

For Class V students (5th)CODE: VIDWAN–LAVA–F1–03–0001

mailto:[email protected]

http://www.vidwanclasses.com

2




3




SCIENTIFIC APTITUDE

01. Which of the following statements is incorrect for the given food item ?

(i) The ingredients used to prepare this food are obtained from both plant and animal sources.

(ii) The major nutrients in this food are carbohydrates and proteins.

(iii) This food is also a source of vitamin C.

(iv) The ingredient sources from plants is actually a seed.

(a) (i) and (ii)

Kheer bowl

(b) (iii) only

(c) (ii) and (iv)

(d) None of these

02. Study the given flowchart carefully and fill in the blanks.

P Q R

(a) Rubber band Steel Electric bulb

(b) Electric bulb Rubber band Steel

(c) Electric bulb Steel Rubber band

(d) Steel Electric bulb Rubber band

03. An example of organs in plants is

(a) brain

(b) lungs

(c) stomach

(d) none of these

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04. Find the missing term in the following series.

5, 10, 15, 20, ?

(a) 25

(b) 30

(c) 40

(d) 50

05. A is brother of B. B is son of C. C is wife of D. Then, how A is related to C ?

(a) Daughter

(b) Son

(c) Sister

(d) Aunt

06. Which of the following is a multiple of 42?

(a) 2226

(b) 1517

(c) 1872

(d) 828

07. 217 11 131 4 3 results is a

(a) Negative integer

(b) Positive integer

(c) Zero

(d) None of these

08. Quick lime is obtained from

(a) sea weeds

(b) fuel minerals

(c) mollusk shells

(d) sea weeds

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09. Pearls of valuable jewellery are obtained from

(a) Pinctada

(b) Nautilus

(c) Octopus

(d) Water mussel

10. Nandan-kanan Zoo is known for

(a) Hippo

(b) Nilgiri Tahr

(c) White Tiger

(d) Whale

11. In which layer of atmosphere do aero planes fly?

(a) Troposphere

(b) Stratosphere

(c) Mesosphere

(d) Thermosphere

12. The angle which can be constructed using a ruler and compass only is

(a)1152

(b) 1222

(c)1252

o

(d) 106o

13. 7120 is not divisible by

(a) 2

(b) 4

(c) 6

(d) 8

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14. The sum of the lengths of sides of a triangle is known as its _______.

(a) Area

(b) height

(c) Perimeter

(d) region

15. How many triangles can be seen in the drawing.

(a) 3

(b) 5

(c) 6

(d) 7

MATHEMATICS

16. 1095

1168 when expressed in simplest form is :

(a) 13

16

(b) 15

16

(c) 17

26

(d) 25

26

17. What is 15 percent of Rs. 34 ?

(a) Rs. 3.40

(b) Rs. 3.75

(c) Rs. 4.50

(d) Rs. 5.10

18. 63% of 3 4

7 is

(a) 2.25

(b) 2.40

(c) 2.50

(d) None of these

7




19. The value of 1 1 12 2 2 is

(a) 2

(b) 12

(c) 34

(d) None of these

20. Find the value of 2 3

5 2 13 of 16 3 4

(a) 2

(b) 1

(c) 12

(d) 23

21. Which of the following is the difference between 7/8 & 3/8 ?

(a) 4/5

(b) 1/2

(c) 3/2

(d) 10/5

22. Find : 1 of 147

(a) 15

(b) 2

(c) 0

(d) None of these

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23. An Angle of measur 900 is called

(a) a complete angle

(b) a right angle

(c) a straight angle

(d) a reflex angle

24. A triangle whose no two sides are equal is called

(a) an acute triangle

(b)a scalene triangle

(c) an isosceles triangle

(d)None of these

25. In given figure if AB||DF, AD||FG, BAC = 65°, ACB = 55° then FGH is :

(a) 120°

(b) 125°

(c) 115°B

A F

D

G HEC

65°55°

(d) None of these

26. A shopkeeper sold an article for Rs. 2090.42. Approximately, what will be the percentage profit if hesold that article for Rs. 2602.58 ?

(a) 15%

(b) 20%

(c) 25%

(d) None of these

27. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

(a) Rs. 1090

(b) Rs. 1160

(c) Rs. 1190

(d) None of these

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28. The number of diagonal of a triangle is ______.

(a) 2

(b) 1

(c) 0

(d) None of these

29. How many lines can passes through a single point?

(a) 5

(b) 10

(c) 20

(d) infinite

30. Find its perimeter?

(a) 14.2 cm

(b) 13.2 cm

(c) 16.2 cm

(d) None of these

GENERAL SCIENCE

31. How should you open the airway of an unconscious casualty?

(a) Head tilt and chin lift.

(b) Jaw thrust.

(c) Head tilt and jaw thrust.

(d) Lift the chin.

32. Which medical condition will develop from severe blood loss?

(a) Shock.

(b) Hypoglycaemia.

(c) Anaphylaxis.

(d) Hypothermia.

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33. Major constituent of soil is

(a) organic matter

(b) inorganic matter

(c) soil air

(d) soil water

34. Organic matter in soil is formed by

(a) chemical weathering

(b) soil micro organisms

(c) consumers and herbivores

(d) plants

35. Formation of soil takes place by

(a)weathering

(b) pedogenesis

(c) succession

(d) both (a) and (b)

36. Around 97% of total water comes from the following source :

(a) Glaciers

(b) Oceans

(c) Ground water

(d) Rivers

37. Water is _____ in nature :

(a)Acidic

(b) Basic

(c) Amphoteric

(d) None of the above

38. Freezing and boiling point of water are :

(a) 277 K and 243 K

(b) 273.2 K and 373.2 K

(c) 0 K and 100 K


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39. D2O is also known as :

(a)Soft water

(b) Hard water

(c) Heavey water


40. Point out the odd one

(a) nucellus

(b) embryo sac

(c) micropyle

(d) pollen grain

41. Turtle can swim in water by its

(a)shell

(b)body

(c)flippers

(d)mouth

42. Garden is generally a habitat for

(a)hibiscus

(b)snail

(c)mushroom

(d)all of them

43. Which of the following disease is caused by the deficiency of vitamin A?

(a)Beri–Beri

(b) Rheumatism

(c) Night Blindness

(d) Scurvy

44. Which of the following organs is a vestigial organ in human beings?

(a) Mouth

(b) Stomach

(c) Appendix

(d) Small intestine

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45. What is the mode of infection of cholera?

(a) Animals

(b) Virus

(c) Contaminated water & food

(d) Air

46. Select the correct order in which the alimentary canal processes the food?

(a) Mouth, Stomach, Oesophagus, Intestine

(b) Mouth, Oesophagus, Stomach, Intestine

(c) Oesophagus, Mouth, Stomach, Intestine

(d) Mouth, Oesophagus, Intestine, Stomach

47. To prevent rabies, which of the following method is advisable?

(a) Dogs are held captive

(b) Dogs must be killed

(c) All dogs should be made pets

(d) Dogs must be immunized.

48. Up to what age polio vaccine/drops should be administered?

(a) Five years

(b) Nine years

(c) Seven years

(d) Four years

49. Which of the following vaccines is injected first to the child after birth?

(a) Rabies

(b) DPT

(c) BCG

(d) Tetanus

50. Self pollination occurs in plants like

(a) wheat

(b) Tobacco

(c) peas

(d) All the above

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51. Cross pollination takes place in

(a) Tomato

(b) Hibiscus and lady finger

(c) Brinjal

(d) All the above

52. Small and stalk of Datura flower at its base is called

(a) Sepals

(b) Pedicel

(c) The lamus

(d) Corolla

53.

(a) Flower

(b) Bulb

(c) Fruit

(d) Stem

54 Longest bone in human body is of

(a)rib cage

(b)vertebral column bones

(c)thigh bone

(d)arm bone

55. Number of facial bones in human body skeleton are

(a)10 bones

(b)12 bones

(c)14 bones

(d)15 bones

14




56.

(a) Leaf

(b) Bulb

(c) Tuber


57. Kind of communication in which you get ideas and information from particular source is called

(a) analogue communication

(b) directional communication

(c) one-way communication

(d) two-way communication

58. A system which is made up of sun, moon, planets, asteroids and other objects which orbit sun isknown as

(a)lunar system

(b)space

(c)solar system

(d)galaxy

59. Heavenly bodies which revolve around sun are called

(a)orbits

(b)planets

(c)stars

(d)galaxies

60. Natural satellites of planets are

(a)Aryabhata

(b)sun

(c)spacecraft

(d)moons

“ Excellence is a continuous processand not an accident”

— Dr. A.P.J. Abdul Kalam

15




ROUGH FOR WORK

1

VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-VI






INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST



Dat

e.:1

2- 1

1 - 2

017

ASet












3rd E

DIT

ION

For Class VI students (6th)CODE: VIDWAN–LAVA–F1–03–0002



2




3




SCIENTIFIC APTITUDE01. Four identical towels were hung out to dry under different conditions.

Arrange them in order, beginning with the towel that would take the longest time to dry.

(a) P, Q, R, S

(b) P, R, Q, S

(c) R, P, Q, S

(d) S, Q, R, P

02. The given diagram shows blood circulation pathway in the heart. Which of theh following correctlyshows the relative amount of oxygen and carbon dioxide at P, Q, R and S ?

More CO2 More O2

(a) R P, Q, S

(b) Q and R P and S

(c) S R

(d) P and Q R and S

03. Which of the following statements are correct regarding the given animals ?

(i) Both X and Y possess streamlined body and webbed feet.

(ii) Both are good swimmers.

(iii) Y has a thick layer of fat under its skin with fur on its body, while X has thick skin and a layerof fat under its skin.

(iv) Both live together in large numbers and huddle together to keep themselves warm.

(v) Y has very strong sense of smell unlike X.

(a) (ii), (iii) and (iv)

(b) (i), (ii), (iii) and (iv)

(c) (ii), (iii) and (v)

(d) (i) and (iv)

4




04. Shreya made a cup of hot tea and put a metal spoon in the cup so that the tea would cool down faster.

Metal spoonCup of hot tea

Which of the following statements best describes the cooling of tea faster ?

(a) The metal spoon absorbs the coldness from the surroundings and transfers the coldness to the hot tea.

(b) The metal spoon absorbs heat from the hot tea and transfers the heat to the surroundings.

(c) The metal spoon absorbs heat from the cup and transfers the heat to the surroundings.

(d) None of these

05. When simplified 11 1x y is equal to :

(a) x y

(b) xy

x y

(c) xy

(d) 1xy

06. What is the full form of BMI?

(a) Body maintenance Index

(b) Body Metabolic Index

(c) Baby Mass Index

(d) Body Mass Index

07. Renal system of the body constitutes which of the following body part?

(a) Heart

(b) Lungs

(c) Brain

(d) Kidney

5




08. Which of the following vaccines is effective against tuberculosis?

(a) DPT

(b) BCG

(c) Salk

(d) TAB

09. How O.R.S. (oral rehydration solution) can be prepared at home?

(a) By boiling water

(b) By mixing little water with some salt.

(c) By mixing of water with some sugar.

(d) By mixing water with salt and sugar.

10. The value of

11

4112

1+3 –2 +

3 –

+ 34

11

3 –

2 –3 +

2

(a) 137

(b) 157

(c) 1121

(d) None of these

11. In the given figure the value of x is :

(a) 80°A B

E

C D

130°

132°x

(b) 88°

(c) 90°

(d) 98°

6




12. What must be added to x3 + 3x – 8 to get 3x3 + x2 + 6 ?

(a) 2x3 + x2 – 3x + 14

(b) 2x2 + x2 + 14

(c) 2x3 + x2 – 6x – 14

(d) None of these

13. In an examination a student was asked to find 3th

14 of a certain number. By mistake, he found 3

4 of

it. His answer was 150 more than the correct answer. The number given him is :-

(a) 290

(b) 280

(c) 240

(d) 180

14. Two bodies A and B are rubbed together, which of the following statements is true?

(a) A and B get equal and opposite charges.

(b) A and B get equal and similar charge.

(c) A gets more charge than B, of opposite kind.

(d) A and B get opposite charges, but nothing can be said about the magnitude of charges.

15. A transparent spherical structure that refracts light into the eye is called

(a) Pupil

(b) Retina

(c) Iris

(d) Cornea

MATHEMATICS16. Assertion (A): The number 90356294 is divisible by 4.

Reason (R) : A number with an even digit in the units place is always divisible by 2.

(a) both A and R are true but R is not the correct explanation of A

(b) both A and R are true but R is the correct explanation of A.

(c) A is false but R is true.

(d) A is true but R is false

7




17. The number in units place in 20089 is

(a) 0

(b) 1

(c) 4

(d) 5

18. Write in Roman Numerals : 50000.

(a) L

(b) V

(c)X

(d)None of these

19. In the given figure 80 60 2o o oA , B , C x and oBDC y . BD and CD bisect angles Band C respectively. The values of x and y is respectively, are

(a) 10 70o o,A

CBoy

D

oxox

o80(b) 20 130o o,

(c) 15 150o o,

(d) 25 100o o,

20. In the given figure CD is parallel to AB then y is

(a) 100oA

o2x

o3x o4xE

D

CB

(b) 80o

(c) 60o

(d) None of these

21. Simplify: 1 4 76 2 13 5 15

(a) 15

(b) 2

(c) 5

(d) None of these

8




22. If a bicycle wheel has 36 spokes, then the angle between a pair of adjacent spokes is _______.

(a) o10

(b) o15

(c) o20

(d) o12

23. o1 = _______ minute.

(a) 70'

(b) 60'

(c) 90'

(d) 60''

24. The number 15938* is divisible by 6. The unknown non-zero digit marked as * will be

(a) 1

(b) 2

(c) 4

(d) 6

25. Which of the following statements is not true for three whole numbers a,b and c?

(a) a+(b+c) = (a + b)+c

(b) a× (b+c) = (a × b) + (a×c)

(c) (a×b) ×c = a× (b×c)

(d) a b c a b c

26. If A and B represent two integers other than zero, then A B B A

(a) May be negative

(b) May be positive

(c) Can’t Sayay be 0

(d) Must be 0

9




27. If p and q are two integers such that p is the predecessor of q, then p – q is equal to

(a) 1

(b) 0

(c) 2

(d) –1

28. Based on the diagram, which of the following could be the measures of SUQ and PUT ?

(a) o oPUT 55 , SUQ 65 055

T S

QP U(b) o oPUT 25 , SUQ 90

(c) o oPUT 80 , SUQ 100

(d) o oPUT 80 , SUQ 45

29. A shopkeeper had Rs.12,00,000 with him. He placed in order for 55 air conditioners at Rs.20,825each. what will be the amount left with him after the purchase ?

(a) Rs. 5, 04, 625

(b) Rs. 56, 250

(c) Rs. 54, 625

(d) None of these

30. Ages of two-friends are in the ratio 2:1. If the sum of their ages is 51 then their ages are

(a) 34yrs, 20 yrs

(b) 34 yrs, 17 yrs

(c) 20 yrs, 10 yrs

(d) 30 yrs, 15yrs

GENERAL SCIENCE31. We are able to see objects because :

(a) They absorb light

(b) They reflect light

(c) Total internal reflection takes place in them

(d) All the light is refracted through them

10




32. 1 hp is equal to

(a) 0.746 kW

(b) 7.46 kW

(c) 74.6 kW

(d) 746 kW

33. A body rolling down a hill has

(a) K.E. only

(b) P.E. only

(c) neither K.E. nor P.E.

(d) both K.E. and P.E.

34. A wound watch spring has _______energy.

(a) mechanical

(b) kinetic

(c) potential

(d) kinetic and potential

35. A car is moving along a straight level road with constant speed, then

(a) the work done on the car is infinite

(b) the work done on the car is zero

(c) the work done on the car is a measure of the gravitational potential energy

(d) the work done on the car cannot be found.

36. The moon revolves around the earth because the earth exerts a radial force on the moon. Does theearth perform work on the moon?

(a) No

(b) Yes, sometimes

(c) Yes, always

(d) Cannot be decided

37. Velocity is __________ quantity

(a) fundamental

(b)derived

(c)both (a) and (b)

(d)none of these

11




38. Distance is _______________ quantity

(a)vector

(b)scalar

(c)tensor

(d) none of these

39. A force applied on an object is equal to

(a) Product of mass of object and velocity of object.

(b) Sum of mass of object and velocity of object.

(c) Product of mass of object and acceleration of object.

(d) Sum of mass of object and acceleration of object.

40. A solid piece of iron sinks in water, but floats in mercury. This is because the

(a) Average density of water and mercury is less than that of iron.

(b) Density of iron is more than that of water as well as mercury.

(c) Density of iron is less than that of water as well as mercury.

(d) Density of iron is more than that of water, but less than that of mercury.

41. An adsorbent link alumina or filter paper is used in a seperation technique called :

(a) Centrifugation

(b) Chromatography

(c) Distillation

(d) Crystallisation

42. Chromotography is used to seperated :

(a) Colours in a dye

(b) Pigments from natural colours

(c) Drugs from blood

(d) All of the above

43. Gases can be obtained from air by the process of :

(a) Fractional distillation

(b) Condensation

(c) Crystallisation

(d) Evaporation

12




44. Which method cannot be used for seperating solution of solid in liquid ?

(a) Distillation

(b) Seperating funnel

(c) Crystallisation

(d) Evaporation

45. NaCl + NH4Cl. This mixture can be seperated by carrying out :

(a) Fitration

(b) Screening

(c) Chromatography

(d) Sublimation

46. Changes in which heat is liberated are called _______

(a) Exothermic changes

(b) Endothermic change

(c) Rapid changes

(d) None of these

47. Dogs stretch out their tongues generally in summer because

(a) Evaporation leads cooling,

(b) Condensation of water vapour.

(c) Freezing of saliva

(d) Their body temperatures are high.

48. Crude petroleum has many components that are useful. Which of the following methods is em-ployed to separate the components ?

(a) Electrolysis

(b) Decantation

(c) Filtration

(d) Fractional distillation

49. What is the change taking place in the following processes?

heating heating

cooling coolingIce Water Steam

(a) Irreversible , physical change

(b) Chemical change

(c) Reversible , physical change

(d) Reversible, chemical change

13




50. The property by virtue of which water molecule is attracted to another water molecule is known as

(a) Adhesion

(b) Cohesion

(c) Evaporation

(d) Condensation

51. When a seed is buried in the soil, in which direction will its root and stem grow? Root Stem

(a) Towards earth Away from earth

(b) Away from earth Towards earth

(c) Towards earth Towards earth

(d) Away from earth Away from earth

52. A plant shows the following features

(i) roots are reduced in size (ii)stems are long

(iii) stems have air spaces (iv)leaves are ribbon likeTo which category does this plant belong to?

(a) Polar region

(b) Desert

(c) Rainforest

(d) Oceans

53. Which of the following is correct for earthworm ?

(a) Its body is made of many rings joined end to end.

(b) Its body has very small bones.

(c) It cannot extend or shorten its body using its muscles.


54. A streamlined body is one

(a) In which middle portion of body is large as compared to head or tail portion

(b) in which middle portion is smaller as compared to head or tail portion

(c) Both the above

(d) None of these

55. The forward and backward movement of our head is possible because of presence of

(a) ball and socket joint where our neck joins the head

(b) pivotal joint where our neck joins the head

(c) hinge joint where our neck joins the head

(d) None of these

14




56. Select the function performed by our skeletal system.

(a) It gives shape and form to our body.

(b) It helps body in performing different body movements.

(c) It protects our delicate internal organs.

(d) It performs all the functions given in (a), (b) and (c).

57. Use of excess water during cooking may cause loss of(a) vitamins and minerals

(b) proteins , minerals,vitamins

(c) vitamins and proteins

(d)None of these

58. Which of the following statements does not hold true for the lotus plant ?

(a) It is rooted in the water body.

(b) It has numerous stomata on the upper and lower surfaces of its leaves.

(c) The stem is long and has numerous air spaces.

(d) It is a partly submerged plant.

59. Select the characteristics that a plant adapt to survive in desert

(a) its leaves are modified into spines

(b) its stem is covered with thick waxy layer

(c) its root penetrate deep into the ground


60. Many important foods are fruits. Which of the following is not a fruit or part of a fruit?

(a) Corn

(b) Jalapeno

(c) Rhubarb

(d) Squash

“All Birds find shelter during a rain.

But Eagle avoids rain by flying above the Clouds.”


15




ROUGH FOR WORK



VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-VII




INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST



Dat

e.:1

2- 1

1 - 2

017

ASet

For Class VII students (7th)












3rd E

DIT

ION

CODE: VIDWAN–LAVA–F1–03–0003









SCIENTIFIC APTITUDE

01. Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Theirspeeds are such that each make a complete circle in the same length of time. The ratio of the angularspeed of the rust to the second car is

(a) m1 : m2

(b) r1 : r2

(c) 1 : 1

(d) m1r1 : m2 r2

02. A ball weighing 10 g hits a hard surface vertically with a speed of 5 m/s and rebounds with the samespeed. The ball remains in contact with the surface for 1/100 s. The average force exerted by thesurface on the ball is

(a) 100 N

(b) 10 N

(c) 1 N

(d) 0.1 N

03. Melting point of pure substance -

(a) Increases with increasing the pressure

(b) Decreases with decreasing the pressure

(c) Remains constant

(d) Decreases with increasing the pressure

04. Density is ............ per unit volume of a substance -

(a) Pressure

(b) Mass

(c) Temperature

(d) Melting point

05. 42 42 42 ...

(a) 1

(b) 3

(c) 5

(d) None of these




06. If 3 27x y and 3 243x y , find x.

(a) 4

(b) 2

(c) 9

(d) None of these

07. An automobile went up a hill at a speed of 10 km an hour and down the same distance at a speed of20km an hour. The average speed for the round trip was

(a) 1122

km/hr

(b) 1133

km/hr

(c) 1142

km/hr

(d) None of these

08. The correct formula is :

(a) Median + A.M. = 2 × Mode

(b) Median – A.M. = Mode

(c) 3(A.M.) – 2(Median) = Mode

(d) 3(Median) – 2(A.M.) = Mode

09. Assertion : A quadrilateral is a parallelogram if its opposite sides are equal.

Reason : If the diagonals of a quadrilateral bisect each other, then the quadrilateralis a parallelogram.

(a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

(b) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.

(c) If Assertion is true but the Reason is false .

(d) If Assertion is false but Reason is true.

10. If the cost price of 18 mangoes is the same as the selling price of 16 mangoes. Find the gain percent.

(a) 25%

(b) 12.5%

(c) 15.66%

(d) None of these




11. A man sold two articles at Rs. 375 each. On one he gains 25% and on the other he loses 25%. Howmuch does he gain or lose in whole transaction? Also find his gain% or loss% in the whole transaction.

(a) 25%

(b) 10.5%

(c)1.66%

(d) None of these

12. Which of the following items has definite volume and shape ?

(a) Water vapour

(b) Milk

(c) Aluminium foil

(d) Oxygen

13. Refer to the given Venn diagram and select the correct option regarding energy resources.

X Y

(a) Coal PetroleumEnergy

resources

Non-conventional

resources

X

Y

(b) Water Petroleum

(c) Coal Solar radiations

(d) Wind Petroleum

14. Ram, Mohan and Hari can do a work in 15 days, 6 days and 10 days respectively. All the three cantogether finish three times of that work in

(a) 21 days

(b) 18 days

(c) 9 days

(d) None of these

15. Rusting of iron is a chemical reaction. The reaction can be termed as -

(a) Displacement

(b) Combination

(c) Double decomposition

(d) Decomposition




MATHEMATICS

16. If 12 11 134

x

, then the value of x is

(a) 1217

(b) 2117

(c) 2917

(d) None of these

17. If 5 5 5 5 5 5 5 5 5 5

5 5 5 5 5

4 4 4 4 6 6 6 6 6 6 23 3 3 2 2

n

, then the positive integer n is

(a) 11

(b) 12

(c) 13

(d) None of these

18. In figure, p q and q r . If 120o , then 2

(a) 30o

12

(b) 60o

(c) 90o

(d) 120o

19. Which one of the following determines a plane ?

(a) Two points

(b) A line and a point on it

(c) Three noncollinear points

(d) None of these




20. If an angle is eight times its complementary angle, then the measurement of the angle is

(a) 30o

(b) 40o

(c) 80o

(d) 60o

21. In the given figure, AB CD, CD EF and BC DE . Find DEG given that 60oBCD

(a) 60o AB

C D

E FG

o60(b) 120o

(c) 90o

(d) None of these

22. The perimeter of a right triangle is 144 cm and its hypotenuse measures 65 cm. Then the lengths ofother sides are

(a) 36 cm, 16 cm

(b) 63 cm, 16 cm

(c) 48 cm, 16 cm

(d) None of these

23. The probability that vowel selected a random from a English Book is a ‘U’

(a) 5

26

(b) 15

(c) 45

(d) 2126

24. A single letter is selected at random from the word “PROBABILITY”. The probability that it is avowel is

(a) 2

11

(b) 3

11

(c) 4

11

(d) None of these




25.

4

3

2 2 2

2 2

n n

n

when simplified is :

(a) 1 128

n

(b) 12n

(c) 1 2n

(d) 78

26. What must be added to x3 + 3x – 8 to get 3x3 + x2 + 6?

(a) 2x3 + x2 – 3x + 14

(b) 2x2 + x2 + 14

(c) 2x3 + x2 – 6x – 14

(d) None of these

27. The mean of 13 observations is 14. If the mean of the first 7 observations is 12 and that of thelast 7 observations is 16, then the 7th observation is :

(a) 12

(b) 14

(c) 16

(d) 18

28. Which of the following expressions represent a polynomial?

(a) x2 + 3 x + 4

(b) 3x3 + (4x1.5)2 – (3x2/3)3 + 5

(c) 4x2 – 3x3/2 + 5x

(d) None of these

29. In the figure, if AB||CD, find the measure of angle BGF given that EFG = 50°.

(a) 60° A H G B

FE

C D

30°

50°70°

140°

(b) 50°

(c) 70°

(d) 40°




30. The alternate sides of a hexagon are produced to tmeet so as to form a star shaped figure, as shown.The sum of the angle at the vertices of the star is :

(a) 2 rigtht angles

(b) 8 right angles

(c) 4 right angles

(d) 6 right angles

GENERAL SCIENCE

31. The freezing point on a thermometer is marked as 20° and the boiling point at 150°. A temperature of60°C on this thermometer will be read as

(a) 25°

(b) 65°

(c) 98°

(d) 110°

32. Heat is transferred most rapidly by the process of :-

(a) Conduction

(b) Convection

(c) Radiation

(d) Combustion

33. A body goes from A to B with a velocity of 20 m/s and comes back from B to A with a velocity of 30m/s. The average velocity of the body during the whole journey is

(a) zero

(b) 24 m/s

(c) 25 m/s

(d) none of these

34. The velocity of a body at rest is always

(a) unity

(b) negative

(c) zero

(d) infinite




35. Which of the following changes are caused by heat energy ?

(A) Ice changing to water

(B) Iron melting

(C) Corpse decomposing

(a) A,B,C are correct

(b) A and B only are correct

(c) B and C only are correct

(d) A only is correct

36. Sea breeze is caused due to

(a) conduction

(b) convection

(c) radiation

(d) all of these

37. The two thigh bones, each of area 10cm2 support the upper part of a human body of mass 40kg.Estimate the total pressure sustained by the both bones. Apply, formula for weight W = m× 9.8 .

(a) 5 21.96 10 N / m

(b) 5 21.86 10 N / m

(c) 5 21.76 10 N / m

(d) None of these

38. One should not connect a number of electric appliances to the same power sockets because

(a) This can damage the appliances

(b) This can damage the domestic wiring due to over-heating

(c) The appliance will not get full voltage

(d) The appliance will not get proper current

39. Rajan swims in a 60 m wide pool. He covers 120 m in one minute by swimming from one end to theother, and back along a straight path. Find his average speed, and average velocity

(a) 0 ms1, 2 ms–1

(b) 2 ms1, 0 ms–1

(c) 0 ms–1, 0 ms–1

(d) None of these




40. Which of the displacement-time graphs is impossible?

(a)

t

X

(b)

t

X

(c)

t

X

(d)

t

X

41. Oil and water do not mix with each other. Which processes is suitable to separate the two insolubleliquids?

(a) Distillation

(b) Evaporation

(c) Filtration

(d) Separating funnel

42. Which of the following is an example of chemical changes of a substance?

(a) Water boils at 100 Celsius

(b) An iron nail rusting

(c) Oil floating on water


43. A solution has pH 2. It contains

(a) CH3COOH

(b) H2CO3

(c) HNO3

(d) H2C2O4




44. The conjugate base of HPO42– is -

(a) PO43–

(c) H2PO4–

(c) H3PO4

(d) H4PO3

45. In the reaction, I2 + I– I3–, the Lewis base is

(a) I2

(b) I–

(c) I3–

(d) none

46. Desert soils are rich in

(a) Ca

(b) Mg

(c) Ca2+ & Mg2+ both

(d) none of these

47. The sequence of humification and mineralization is

(a) Plant/animal's dead organic matter Litter duff humus minerals

(b) Minerals humus litter duff

(c) Dead organic matter duff litter minerals humus

(d) Humus minerals litter duff

48. The composition of soil is

(a) mineral + organic matter + water

(b) minerals + water + air

(c) organic matter + water

(d) organic matter + water + minerals + air

49. The discomfort caused by indigestion due to over eating can be cured by taking ;

(a) baking soda

(b) vinegar

(c) lemon juice

(d) caustic soda




50. A fertile agricultural soil appear deep coloured at the surface as compared to the soil one metredown. The reason for the colour of top soil is due to

(a) rich in organic matter

(b) fertilisers

(c) more moisture

(d) recent formation.

51. A bolus is

(a) a mass of crushed food moistened with saliva

(b) the semisolid material resulting from partial digestion in the stomach

(c) the milky emulsified fat absorbed from small intestine

(d) indigestible materials that helps in movement and absorption

52. Which of the following statements is not true?

(a) Mode of taking food into the body varies in different organisms.

(b) Bees and humming birds suck the nectar of flowers.

(c) Hydra catches food with the help of its tentacles.

(d) Lice and mosquitoes chew their food by grinding with teeth.

53. Which one of the following is the link between glycolysis and Kreb's cycle?

(a) Phosphoenolpyruvic acid

(b) Fumaric acid

(c) Citric acid

(d) Acetyl Co-A

54. Yawning is prolonged

(i)which occurs due to increased

(ii) concentration in lungs.

Which of the following options completes the given statement?

(a) (i) - Inspiration; (ii) - oxygen

(b) (i)-Inspiration; (ii) - carbon dioxide

(c) (i)-Expiration; (ii) - oxygen

(d) (i)-Expiration; (ii) - carbon dioxide




55. In which of the following plants vegetative reproduction takes place with the help of bulbils?

(a) Colocasia

(b) Zingiber

(c) Agave

(d) Vallisneria

56. During grafting root stock is generally derived from a plant(a) efficient in water and mineral absorption

(b) resistant to diseases

(c) that grows strong and healthy branches

(d) all of the above

57. Vegetative propagation occurs with the help of sub-aerial stems in

(a) onion and garlic

(b) Grasses and strawberry

(c) sweet potato and Dahlia

(d) both (a) and (b)

58. Respiratory structures in the insects are –

(a) Gills

(b) Skin

(c) Lungs

(d) Trachea

59. The narrowest and most numberous tubes of lungs are termed as –

(a) Bronchus

(b) Bronchioles

(c) Alveoli

(d) None of these

60. Ornithology is study of

(a) Birds

(b) Reptiles

(c) Fishes

(d) Fossils

" Dream, Dream Dream, Dreams transform into thoughts.

And thoughts result in action "





ROUGH FOR WORK



VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-VIII




INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST



Dat

e.:1

2- 1

1 - 2

017

ASet

For Class VIII students (8th)












3rd E

DIT

ION










SCIENTIFIC APTITUDE01. Bile pigments are formed in

(a) Liver

(b) Spleen

(c) Every body cells

(d) a and b both

02. Excretory material are formed in

(a) Kidney

(b) Rectum

(c) Liver

(d) Every cell in body

03. In the adjoining figure ABCD is a parallelogram and X, Y are mid-points of side AB and DCrespectively. Then the measure of x is :

(a) 45°D Y C

A X B60°

80°x°

(b) 120°

(c) 75°

(d) None of these

04. In given figure, area of isosceles trapezium DEFG is :

(a) 18 1 3

D G

E 3 F

1212

M N6 3 6 36 3 6 3

(b) 18 3

(c) 3 1

(d) None of these

05. .......111

(a) equals 1

(b) lies between 0 and 1

(c) lies between 1 and 2

(d) None of these




06 The factors of (216x3 – 64y3) are -

(a) 8(3x – 2y) (9x2 + 4y2 – 6xy)

(b) 8(3x – 2y) (9x2 – 4y2 – 6xy)

(c) 8(3x – 2y) (9x2 + 4y2)

(d) None of these

07. The distance of the point (–2, –2) from the origin is :

(a) 8 units

(b) 2 2 units

(c) both a & b

(d) 2 units

08. If the distance between points (p, –5), (2, 7) is 13 units, then p is _____________ :

(a) –3 or 7

(b) –7 or 3

(c) –3 or –7

(d) 3 or 7

09. In this fig QS and RS are beisectors of exterior angles Q and R. The QSR + P/2 is equalto–

(a) 270ºP

RQ

S

(b) 180º

(c) 90º

(d) 60º

10. In the figure AB || CD, then EFD is equal to–

(a) 20ºA

D

BC E

F

30º60º(b) 25º

(c) 30º

(d) 35º




11. Contractile vacuoles take part in

(a) absorption of water from outside

(b) osmoregulation

(c) excretion

(d) both b and c

12. Safranin is a reagent that is used to stain

(a) nucleus

(b) cytoplasm

(c) cell wall

(d) plasmodesmata

13. Two numbers are respectively 20% and 50% more than a third number. The ratio of the twonumbers is :

(a) 2 : 5

(b) 3 : 5

(c) 4 : 5

(d) 6 : 7

14. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can doit in 90 days. In what time can A alone do it ?

(a) 80 days

(b) 100 days

(c) 120 days

(d) None of these

15. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The numberof days taken by Tanya to do the same piece of work is :

(a) 15

(b) 16

(c) 18

(d) None of these




MATHEMATICS

16. If x2 + 4y2 = 4xy, then x : y is :

(a) 2 : 1

(b) 1 : 2

(c) 1 : 1

(d) 1 : 4.

17. What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that theremainders may be proportional ?

(a) 0

(b) 1

(c) 2

(d) 7

18. By how much is 12% of 24.2 more than 10% of 14.2?

(a) 14.85

(b) 2.762

(c) 0.1784

(d) 1.484

19. In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?

(a) 41

(b) 61

(c) 127

(d) 365




20. The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is :

(a) 132

(b) 134

(c) 131

(d) 521

21. If the mean of first n natural numbers is equal to 3

7n , then n is equal to -

(a) 10

(b) 11

(c) 12

(d) None of these

22. If a, b, c are any three positive numbers, then the least value of (a + b + c)

c1

b1

a1 is -

(a) 3

(b) 6

(c) 9

(d) None of these

23. The fraction 4 4

2 2

a ba b

is equal to

(a) 6 6a b

(b) 2 2a b

(c) 2 2a b

(d) None of these




24. If 21 3r

r

then 33

1rr

equals

(a) 1

(b) 2

(c) 0

(d) None of these

25. If x = 0. 7 , then 2x is -

(a) 4.1

(b) 5.1

(c) 54.1

(d) 45.1

26. If a = 2 + 3 and b = 2 – 3 , then b1

a1 is equal to -

(a) 2 3

(b) – 2 3

(c) 4

(d) – 4

27. The value of 2x1x4

x1x1

x1x1

is –

(a) 4x1x8

(b) 4x1x8

(c) 4x18

(d) 4x18




28. If t2 – 4t + 1 = 0, then the value of

33

t1t is-

(a) 44

(b) 48

(c) 52

(d) 64

29. The factors of

81x

x4 4

4 are -

(a) not possible

(b)

9x

x2 2

2

9x

x2 2

2

(c)

32

9x

x2 2

2

32

9x

x2 2

2

(d)

32

9x

x2 2

2

32

9x

x2 2

2

30. The sum of the present ages of a father and his son is 60 years. Six years ago, father’s agewas five times the age of the son. After 6 years, son’s age will be:

(a) 12 years

(b) 14 years

(c) 18 years

(d) 20 years

GENERAL SCIENCE31. When we vigorously shake a branch of a tree, some leaves get detached. It is due to the:

(a) inertia of rest

(b) inertia of motion

(c) some leaves are loosely held by the branch

(d) None of the above.




32. Friction force is responsible changing:

(a) shape of an object

(b) direction of an object

(c) speed of an object

(d) all of the above

33. When an object is heated, the molecules that make up the object

(a) begin to move faster

(b) lose energy

(c) become heavier

(d) become lighter

34. Which of the following conversion is not possible

(a) Mechanical energy heat energy

(b) Mechanical energy heat energy + sound energy

(c) heat energy mechanical energy + sound energy

(d) heat energy mechanical energy

35. A constant retarding force of 50N is applied to a body of mass 20 kg moving initially with a speed of15m/s.How long does the body take to stop?

(a) 6s

(b )4s

(c) 3s

(d) 10s

36. A force of 0.04 Newton acts upon a body as result , the speed of the body changes from 0.30m/s to0.10m/s , in passing through a certain distance . Find the distance if the mass of the body is onekilogram?

(a) 1m

(b) 2m

(c) 3m

(d) 5m




37. A force F1 acting on a body of 2kg produces an acceleration of 2.5 ms2 .An other force F2 acting on

the another body of mass 5kg produces an acceleration of 2m/sec2.Find the ratio 2

1

FF .

(a) 2

(b) 4

(c) 8

(d) 10

38. Which of the following statements is true ?

(a) The angle of incidence is twice the angle of reflection

(b) The incident ray, the reflected ray and the normal drawn at the point of incidence lie in the same plane

(c) Some types of virtual images can be obtained on of the screens

(d) A convex mirror forms real image

39. When the distance between the object and the plane mirror increases :

(a) The image remains same

(b) The size of the image will become less than the size of the object

(c) The distance between the image and the plane mirror increases

(d) The distance between the image and the plane mirror decreases

40. In lateral inversion :

(a) Right of the object will be right side of the image

(b) Left side of the object will be left side of the image

(c) Upside of the object will be down side of the object

(d) Right side of the object will be left side of the image

41. Which of the following is used in endoscopy-

(a) Optical fibres

(b) Glass fibres

(c) Glass wool

(d) None of these




42. Purple-blue coloured glass is obtained by the addition of -

(a) Chromium salts

(b) Ferrous oxide

(c) Cobalt salts


43. Terra Cotta is -

(a) Kaolin

(b) Clay

(c) Unglazed primitive pottey

(d) Porcelain

44. The main constituents of cement are :-

(a) Calcium oxide, Silicon dioxide, Aluminium oxide

(b) Calcium oxide, Iron oxide, Sulphur dioxide

(c) Magnesium oxide, Silicon dioxide, Aluminium

(d) None of these

45. Hard glass is prepared by :-

(a) Fusing a mixture of sodium carbonate, calcium carbonate and silica

(b) Fusing a mixture of potassium carbonate, calcium carbonate and silica

(c) Fusing a mixture of potassium carbonate and any oxide


46. Arrange the following metal in the increasing order of their reactivity towards water Zinc, Iron,Magnesium, Sodium-

(a) Iron < Magnesium < Sodium < Zinc

(b) Iron < Zinc < Magnesium < Sodium

(c) Magnesium < Iron < Sodium < Zinc

(d) Sodium < Iron < Magnesium < Zinc

47. Metallurgy is the process of-

(a) Extracting metals from the ore

(b) Roasting the ore

(c) Liquefaction of nitrogen

(d) Adding carbon to the ore in blast furnace




48. Dry distillation of coal gives many valuable and important products. The solid residue left behindafter dry distillation of coal is called -

(a) Asphalt

(b) Coal pitch

(c) Coal tar

(d) coke

49. Which of the following statements about petroleum is not correct(a) Petroleum is a dark coloured oily liquid with a characteristic smell

(b) Petroleum is heavier than water

(c) Petroleum is insoluble in water

(d) Petroleum is formed by decomposition of animal and plant remains inside the earth

50. What are the end products formed by the fermentation of food?

(a) O2 and CO2

(b) Ethyl alcohol and O2

(c) Ethyl alcohol and CO2

(d) CO2 and Carbonic acid

51. The enzymes for Kreb's cycle in mitochondria are located

(a) in perimitochondrial space

(b) on Inner membrane

(c) in mitochondrial matrix

(d) on the outer membrane

52. The presence of DNA in mitochondria and chloroplast supports the hypothesis that

(a) Mitochondria and chloroplast both originated as independent free-living organisms

(b) Glycolysis occurs in both mitochondria and chloroplast

(c) Chloroplast and mitochondria undergo meiosis and mitosis independent of nucleus

(d) ATP is produced in chloroplast as well as mitochondria

53. Green pigments capable of capturing the energy of sunlight are located within the

(a) endoplasmic reticulum

(b) chloroplasts

(c) cell wall

(d) ribosomes

54. Chloroplasts are considered as self-replicating units as they contain(a) DNA

(b) RNA

(c) both DNA and RNA

(d) neither DNA or RNA




55. Mitochondria are more in cells where

(a) There is least cellular activity(b) There is maximum cellular activity.(c) There is an average activity(d) They form tissues.

56. The cell theory states all the following except that(a) Cells are units of structure in plants and animals(b) Cells are units of function(c) Cells arise from pre-existing living cells(d) Cells always mutate.

57. The main significance of mitosis is that(a) it causes genetic variation(b) it causes transformation of DNA to RNA(c) it reduces the number of chromosomes(d) it ensures genetic homogeneity of cells

58. The chronological sequence of stages in prophase of meiosis is(a) Leptotene, Pachytene, Zygotene, Diakinesis, Diplotene(b) Leptotene, Zygotene, Pachytene, Diplotene, Diakinesis(c) Zygotene; Leptotene, Pachytene, Diakinesis, Diplotene(d) Diplotene, Diakinesis, Pachytene, Zygotene, Leptotene

59. Which of the following tissue has matrix, which is the source of its structural and functionalperformances?(a) connective tissue(b) muscular tissue(c) nervous tissue(d) epithelial tissue

60. Wrinkling in old age is due to(a) collagen(b) myosin(c) keratin(d) actin

" It is very easy to defeat someone, but it is very hard to win someone "





ROUGH FOR WORK



VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-IX




INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST

Head Office.: 20, Kharvel Nagar, Unit – III, Ph. : 0674-2531120, Medical Wing.: Plot No.:-34, Unit-III, Kharvel Nagar. BBSR.(M): 9777440454. Rourkela Office : E-11, Koel Nagar, Rourkela, Odisha. Ph : 0661-2470026


Dat

e.:1

2- 1

1 - 2

017

ASet

For Class IX students (9th)



Science.Marking Scheme :+4 for Correct Answer-1 for Wrong Answer.








3rd E

DIT

ION










SCIENTIFIC APTITUDE

01. Given that 2 2 2 2(a 5) (b c) (c d) (b c d 9) 0 then (a b c)(b c d) is

(a) 0

(b) 11

(c) 20

(d) 99

02. 4 4x y 15,x and y are positive integers. Then 4 4x y is

(a) 17

(b) 31

(c) 32

(d) 113

03. A number with 8 digits is a multiple of 73 and also a multiple of 137. The second digit from the leftequals 7. Then the th6 digit from the left equals

(a) 1

(b) 7

(c) 9

(d) can be any digit

04. The value of 2 2 2 2

1 1 1 11 1 1 ..... 12 3 4 2007

is

(a) 20082007

(b) 10042007

(c) 20072008

(d) 1




05. The number of natural numbers n for which 215n 8n 6

n is a natural number is

(a) 8

(b) 2

(c) 3

(d) 4

06. The units digit of 2 3 2007(1 9 9 9 ...... 9 ) is

(a) 1

(b) 9

(c) 0

(d) 8

07. The sides of a triangle are integers. The perimeter is 8. The area is

(a) 8

(b) 8

(c) 5

(d) 12

08. The value of 1 2008 1 2009 1 2010 1 2011 2013 is ...................

(a) 2007

(b) 20009

(c) 2009

(d) None of these

09. If A(2, 2), B(–4, –4) and C(5, –8) are the vertices of a triangle, then the length of the median throughvertex C is :

(a) 65

(b) 117

(c) 85

(d) None of these




10. 0.83 0.83 0.83 0.17 0.17 0.170.83 0.83 0.83 0.17 0.17 0.17

is equal to :-

(a) 1

(b) (0.83)3 + (0.17)3

(c) 0

(d) None of these

11. For what value of p, the system of equations will have no solution ?

px – (p –3) = –3y; py = p – 12x

(a) 6

(b) 6

(c) -6

(d) None of these

12. The equations

3x – 5y + 2 = 0 and 6x + 4 = 10y have–

(a) No solution (s)

(b) A single solution

(c) Two solutions

(d) An infinite number of solutions

13. Pinus is a ___________ plant.

(a) Bryophytic

(b) Gymnospermous

(c) Pteridophytic

(d) Angiospermous

14. The IUPAC name of the compound having the formula (CH3)3CCH =CH2 is

(a) 3,3,3-Trimethyl -1- propane

(b) 1,1,1, Trimethyl-1-butene

(c) 3,3-Dimethyl-1-butene

(d) None of these




15. Which of the following is not an example of aromatic compound -

(a) Benzene

(b) Naphthalene

(c) Cyclobutane

(d) All are aromatic compounds

MATHEMATICS

16. If a =223

1

, b = 223

1

then the value of a3 + b3 is –

(a) 194

(b) 196

(c) 198

(d) None of these

17. Consider the following statements:

(1) If ax = b, by = c, cz = a, then xyz = 0

(2) If p = ax,q = ay, (py qx)z = a2, then xyz = 1

(3) If xa = yb = zc & ab + bc + ca = 0, then xyz = 1

of these statements :

(a) 1& 2 are correct

(b) 2 & 3 are correct

(c) Only 1 is correct

(d) None of these

18. If the polynomial x19 + x17 + x13 + x11 + x7 + x5 + x3 is divided by (x2 + 1), then the remainderis :

(a) 1

(b) x2 + 4

(c) – x

(d) x




19. x831 + y831 is always divisible by

(a) x –y

(b) x2 + y2

(c) x + y

(d) None of these

20. Find the square root of the expression

2 2 21 1 1 1(x y z ) 2xyz x y z

(a) x y z

xyz

(b) yz zx xyx y z

(c) x y z

(d) x y zyz xz xy

21. Factorize the expression 44

19x 2.x

(a) 2 2

2 2

1 13x 2 3x 2x x

(b) 2 2

2 2

1 13x 2 3x 2x x

(c) 2 2

2 2

1 13x 2 3x 2x x

(d) 2 2

2 2

1 13x 2 3x 2x x




22. The factors of (x4 + 625) are :-

(a) (x2 – 25), (x2 + 25)

(b) (x2 + 25), (x2 + 25)

(c) (x2 – 10x + 25), (x2 + 5x + 25)

(d) do not exist

23. If the distance between the points (4, p) and (1, 0) is 5, then p =

(a) + 4

(b) 4

(c) –4

(d) 0

24. What is the probability that a number selected from the numbers 1, 2, 3, 4, 5,... 16 is a primenumber, is ?

(a) 161

(b) 85

(c) 83

(d) 167

25. One card is drawn at random from a pack of 52 cards. What is the probability that the carddrawn is a face card ?

(a) 133

(b) 41

(c) 529

(d) 131




26. If a variable takes the discrete values a + 4, a –27 , a –

25 , a – 3, a – 2, a +

21 , a –

21 , a +

5 (a > 0), then the median is-

(a) a – 45

(b) a – 21

(c) a – 2

(d) a + 45

27. In the given figure, AB||CD, CD||EF and BC||DE. Find DEG given that BCD = 60°

(a) 60°

(b) 120°

(c) 90°

(d) 150°

28. In the given figure A + B + C + D + E is equal to :

(a) /2

(b)

(c) 3 /2

(d) 2

29. The perimeter of a rhomubs is 146 cm. One of its diagonals is 55 cm. Then the length of the otherdiagonal and the area of the rhombus is :-

(a) 48 cm, 1320 sq cm

(b) 45 cm, 660 sq cm

(c) 27.5 cm, 660 sq cm

(d) None of these

30. In Figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ= 2 cm, then BY =

(a) 5 cm

(b) 6 cm

(c) 7 cm

(d) 8 cm




GENERAL SCIENCE

31. A diwali rocket is ejecting 50 g of gas/es at a velocity of 400 m/s. The acceleration force on therocket will be:

(a) 22 dyne

(b) 20 N

(c) 100 N

(d) None of these

32. In the system shown in the adjoining figure, the acceleration of the 1 kg mass is

(a) g downwards4

(b) g upwards4

(c) g downdards2

(d) g upwards2

33. The breaking load of the rope is half the weight of the climber. In which of the following cases, isthe rope not likely to break ?

(a) Climbing up fast

(b) Climbing down fast

(c) Climbing up slowly

(d) Climbing down slowly

34. Two particles of equal mass move in a circle of radius r under the action of the mutual gravita-tional attraction. If the mass of each particle is M, the speed of each particle is :

(a) GM

r

(b) GM2r

(c) GM4r

(d) 2GM

r




35. A horse pulls the cart. Which of the following forces makes the cart move ?

(a) Force exerted by the horse of the cart

(b) Force exerted by the ground on the cart

(c) Force exerted by the ground on the horse

(d) Force exerted by the horse on the ground

36. A body moves along the circumference of a circular track of radius R (Fig.). What is displacement ofthe body when it covers 3/4th of its circumference?

(a) 3R

(b) 3R

4

(c) 3R

2

PR O

Q

R

(d) 2R

37. The second's hand of a watch is 2 cm long. The speed of the tip of this hand is :-

(a) 0.21 cm/s

(b) 2.1 cm/s

(c) 21.0 cm/s

(d) none of these

38. The mass of earth is 6 × 1024 kg and radius of earth is 6.4 × 106m. The magnitude of force betweenthe mass of 1 kg and the earth is :

(a) 9.770 N

(b) 9.810 N

(c) 9.830 N

(d) 9.790 N

39. A glass stopper suspended to the hook of a spring balance and immersed in water reads 100 gf.When a cork of volume 20 cm3 is tied to the glass stopper and then the combination is immersed inwater, the reading of spring balance will be :

(a) more than 100 gf

(b) equal to 100 gf

(c) less than 100gf

(d) none of these




40. Essential characteristic of equilibrium is that

(a) momentum equals zero

(b) acceleration equals zero

(c) kinetic energy equals zero

(d) velocity equals zero

41. Purity of a solid substance can be checked by its characteristic

(a)boiling point

(b)melting point

(c)solubility in water

(d)solubility in alcohol

42. A small amount of the sample of a soil was mixed with water in beaker .After stiring forsometime,the beaker was allowed to stand .The mud was found to settle down .The liquid abovethe mud was care fully filtered .The filtrate will be

(a)A true solution

(b)a colloidal solution

(c)can be a true solution or a colloidal solution

(d)a suspension.

43. In chromatography different constituents of a mixture get adsorbed differently on same adsor-bent because

(a)they have different in pressure

(b)they have different rates of movement

(c)both (a) and (b)

(d)none of these.

44. An element A has atomic mass 39 and atomic number 19 .Which one of the following ions it willform on ionising one electron?

(a)A+ ion

(b)A- ion

(c)A++ ion

(d)A- - ion

45. Select the pair of isobars from the following species 3717A, 35

17 B , 3718C , 36

18D, 3819E

(a)A and B

(b)A and C

(c)Cand E

(d)Cand D




46. The weight of a molecule of the compound C60H122 is

(a)1.4x 10-21g

(b)1.09x10-21 g

(c)5.025x1023g

(d) None of these

47. The isotope possesss

(a) Similar physical properties

(b) Similar chemical properties

(c) Different physical properties

(d) Different chemical properties

48. Which is the correct order of orbital energy in a multi-electron atom

(a) 1s > 2s < 2p < 3s < 3p < 3d

(b) 1s > 2s < 2p < 3s < 3p < 3d

(c) 1s > 2s < 3d < 2p < 3s < 3p

(d) 1s > 2s < 2p < 3s < 3p < 3d

49. Which of the following configuration represents more electropositive atom ?

(a) 1s2, 2s2,2p2, 3s2

(b) 1s2, 2s2,2p6, 3s2,3p6, 4s1

(c) 1s2, 2s2,2p6, 3s2,3p6

(d) 1s2, 2s2,2p6, 3s2,3p5

50. Find the mass % of solute, if d = 15 gm/cc, Bm 98 , m = 5

(a) 4.26%

(b) 3.26%

(c) 5%

(d) 5.25%

51. What is the other name of nerve cell?

(a) Dendron

(b) Cyton

(c) Axon

(d) Neuron




52. The Study of diseases is known as pathology. What will be the correct term which can be used tostudy the infection in blood?

(a) Histology

(b) Histopathology

(c) Blood pathology

(d) Histopathy

53. Which of the following cell type is absent in phloem tissue?

(a) Tracheids

(b) Companion cells

(c) Sieve elements

(d) Sieve tube

54. What is the location of ribosome in the cell?

(a) Nucleolus

(b) Chromosome

(c) Endoplasmic reticulum

(d) Nucleus

55. Match the following

(i) Nervous tissue (a) Cardiac muscles

(ii) Muscle tissue (b) Motor nerve cells

(iii) Connective tissue (c) Skin

(iv) Epithelial tissue (d) Bone

(a) (i) – (a), (ii) – (b), (iii) – (d), (iv) – (c)

(b) (i) – (b), (ii) – (a), (iii) – (d), (iv) – (c)

(c) (i) – (b), (ii) – (c), (iii) – (a), (iv) – (d)

(d) (i) – (a), (ii) – (c), (iii) – (b), (iv) – (d)

56. Grass stem elongates by the activity of :-

(a) secondary meristem

(b) intercalary meristem

(c) apical meristem

(d) primary meristem




57. Which of the following statements is NOT true regarding B cells?

(a) They are formed in the bone marrow.

(b) They develop into plasma cells and memory cells.

(c) They recognize peptide antigens by the major histocompatibility complex molecules.

(d) They are the source of antibodies.

58. The mitochondrion has more than three stop codons. Which biological principle does this violate?(a) Central dogma

(b) Endosymbiotic theory

(c) Conservation DNA replication

(d) Universal genetic code

59. Which of the following structures and processes can exist in eukaryotic cells and in all prokaryoticcells?

I. Nuclear envelope

II. Ribosomes

III. IntronsIV. ATP synthesis

V. rRNA 18S

VI. Cell membrane

VII. DNA polymerase

VIII. Cytoskeletal elements(a) I, II, III and VIII

(b) II, IV, VI and VIII

(c) I, III, V and VII

(d) II, IV, V and VI

60. Select the odd one out :

(a) The movement of water across a semi-pemeable membrane is affected by the amount of substancesdissolved in it.

(b) Membranes are made of organic molecule like proteins and lipids.

(c) Molecules soluble in organic solvents can easily pass through the membrane.

(d) Plasma membrane contain chitin sugar in plants.

End is not the end,If fact E.N.D. means

“EFFORT NEVER DIES” — Dr. A.P.J. Abdul Kalam

1

VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-X






INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST



Dat

e.:1

2- 1

1 - 2

017

ASet












3rd E

DIT

ION

For Class X students (10th)CODE: VIDWAN–LAVA–F1–03–0006



2




3




SCIENTIFIC APTITUDE

01. If ax–2 x12x2 aa = a–3 (a9 + a2), then the value of x is –

(a) 0

(b) a fraction

(c) a positive integer

(d) a negative integer

02. The value of 3 24 + 3 81 – 3 192 , is -

(a) 3 3

(b) 3

(c) 3

(d) None of these

03. In a right angled triangle with legs 4 and 8, the area of the largest square that can be inscribed in thetriangle is

(a) 83

(b) 43

(c) 169

(d) None of these

04. Two circles with centers A and B and radius 2 touch each other exteranally at C. A third circle withcenter C and radius 2 meets the other two at D, E (see the figure). Then area ABDE is

(a) 3 2

(b) 6 2

(c) 3 3

(d) None of these

4




05. In oABC, A 90 and ‘I’ is the incentre. The perpendicular distance of I from BC is 8 . Then AlAlis equal to

(a) 8

(b) 3

(c) 4

(d) None of these

06. Three squares are joined together at the corners onto two vertical poles as shown a side. Find thevalue of x when the angles are given as shown

(a) 39

(b) 41

(c) 43

(d) 44

07. ABC is an equilateral . G is the centroid and AG = 2 cm. S is the circumcircle of the triangle. The

area of the shaded portion (in 2cm ) is

(a) (4 3 3)

(b) 16 9 34

(c) 3(4 3 3)

(d) None of these

08. If a, b, c are positive integers such that 2 2a 2b 2ab 169 and 22bc c 169 then a b c is

(a) 0

(b) 169

(c) 39

(d) None of these

5




09. Two of the altitudes of a scalene triangle have lengths 4 and 12 . If the length of the remainingaltitude is also an integer, then its maximum value is

(a) 1

(b) 2

(c) 5

(d) 8

10. Six equal circles are arranged as in the figure. The height of the triangle is 4. Then the radius of thecircle is

(a) ( 3 1)

(b) 3 12

(c) 4

3 1

(d) 3

11. The number of real solutions of the equation x(x 1)(3 2) 1 is

(a) 0

(b) 1

(c) 2

(d) more than 2

12. Each term of a sequence is the sum of its preceding two terms from the third term onwards. Thesecond term of the sequence is - 1 and the 10th term is 29. The first term is ..............

(a) 3

(b) 2

(c) 1

(d) None of these

6




13. The number which , when subtracted from the terms of ratio a : b makes it equal to c : d is

(a) ab cdab cd

(b)

bc adc d

(c) ab cdc d

(d) None of these

14. In a Kilometer race Ram beats Shyam by 25 meters or 5 seconds. The time taken by Ram to completethe race is :

(a) 1 minute

(b) 5 minutes and 30 seconds

(c) 3 minutes and 15 seconds

(d) None of these

15. Given a and b are integers the expression 2(a a 2011) (2b 1) is

(a) Odd for exactly 2010 values of a, b.

(b) Odd for all values of a, b

(c) Even for exactly one value of a and two values of b

(d) Odd for exactly for one value of a and one value of b

MATHEMATICS

16. 2 0 2 0 2 0 2 0cos 1 cos 2 cos 3 .... cos 90

(a) 0

(b) 1

(c)892

(d) None of these

7




17. If the distance between the points (2, k) and (-2, -3) is 5, then k =

(a) (0, –3)

(b) (0, –6)

(c) (–3, 3)

(d) None of these

18. A solid is in the form of a cylinder with hemispherical ends . The total height of the solid is 19 cm andthe diameter of the cylinder is 7 cm , Find the total surface area of the solid .

(a) 398 . 75 2cm

(b) 418 2cm

(c) 444 2cm 19cm

C

BGA

D H

E

F

(d) 412 2cm

19. For any number a < 1, a + a1 is always -

(a) less than 2

(b) greater than 2

(c) less than 3

(d) greater than 3

20. Mr. A forgot to write down a very important phone number, All he remembers is that it started with713 and that the next set of 4 digits involved are 1,7 and 9 with one of these numbers appearingtwice , He guesses a phone number and dials randomly. The odds in favour of dialing the correcttelephone number is :

(a) 1:35

(b) 1:71

(c) 1:23

(d) 1:36

21. If D is such a point on the side MN of LMN that DNND

LNLM

, then LD must be a/an –

(a) Median of LMN

(b) Bisector of MLN

(c) Altitude of LMN

(d) None of these

8




22. In the adjoining figure, ADE = B, AE = 8 cm, EB = 7 cm, BC = 9 cm, AD = 10 cm andDC = 2 cm. Then the length DE is –

(a) 6 cm

(b) 13.5 cm

(c) 6.75 cm

(d) 7.8 cm

23. The nth term of an A.P. is (3n + 5). Its 7th term is –

(a) 26

(b) (3n–2)

(c) 3n + 12

(d) cannot be determined

24. The sides of a right angle triangle are in A.P. The ratio of side is –

(a) 1 : 2 : 3

(b) 2 : 3 : 4

(c) 3 : 4 : 5

(d) 5 : 8 : 3

25. If four sides of a quadrilateral ABCD are tangential to a circle, then –

(a) AC + AD = BD + CD

(b) AB + CD = BC + AD

(c) AB + CD = AC + BC

(d) AC + AD = BC + DB

26. In the adjoining figure, A, B, C are three points on a circle with centre O. If AOB = 90º andBOC = 120º, then ABC is –

(a) 60º

(b) 75º

(c) 90º

(d) None of these

9




27. AB is a diameter and AC is a chord of a circle such that BAC = 30º. The tangent at Cintersects AB produced in D. Then,

(a) BC < BD

(b) BC > BD

(c) BC = BD

(d) Cannot say

28. The two parts into which 57 should be divided so that their product is 782, are -

(a) 43, 14

(b) 33, 24

(c) 34, 23

(d) 44, 13

29. The sum of a number and its reciprocal is 2 201 . the number is -

(a) 45

(b) 43

(c) 34

(d) 61

30. An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. What is theprobability that the ball drawn is not red ?

(a) 111

(b) 119

(c) 112

(d) 2011

10




GENERAL SCIENCE31. In the given circuit, the value of ‘i’ is:

(a) 0.10 A

(b) 0.20 A

(c) 0.40 A

(d) 0.6 A

32. In the circuit shown in fig, equivalent resistance between points A and B is :

(a) 8

(b) 2

(c) 5

(d) None of these

33. In the circuit shown in fig. equivalent resistance between points A and B is :

(a) 2.4

(b) 6.2

(c) 4

(d) None of these

34. A straight wire is carrying an electric current:

(a) there are no magnetic lines of force near the wire

(b) there are lines of force and they are circular lines encircling the wire

(c) the lines of force are straight lines parallel to the wire and in the same direction as the current

(d) the lines of force are straight lines parallel to the wire in the direction opposite to the current

35. Which of the following cannot be deflected by a magnetic field ?

(a) Alpha rays

(b) Beta rays

(c) Gamma rays

(d) Cosmic rays

11




36. Which of the following when in motion cannot be deflected by the magnetic field ?

(a) Electron

(b) Proton

(c) Neutron

(d) Ions

37. A body is moved through a distance of 5 m in the following different ways. Maximum work is donewhen the body is

(a) pushed over an inclined plane

(b) raised vertically upwards

(c) pushed over smooth rollers

(d) pushed on a plane horizontal surface

38. The variable resistance is called

(a) resistor

(b) rheostat

(c) open switch

(d) none of these

39. How much work is done in moving a charge of two coulombs from a point at 1 I 8 volts to a point at128 volts?

(a) 10 J

(b) 20 J

(c) 1

10 J

(d) none of these

40. How will the reading in the ammeter A be affected if another identical bulb Q is connected in parallelto P? (fig.). The voltage in the mains is maintained at a constant value.

(a) The reading will be reduced to one-half. A

× ×P Q

Switch

Mains(b) The reading will not be affected.

(c) The reading will be double the previous value.

(d) The reading will be increased four-fold.

12




41. Which of the following chemical equations is an unbalanced one?

(a) 3 2 3 2 22NaHCO Na CO H O CO

(b) 4 10 2 2 22C H 12O 8CO 10H O

(c) 2 232Al 6H O 2Al OH 3H

(d) 3 2 24NH 5O 4NO 6H O

42. 2 3 2 3A O 2B B O 2A is an example of

(a) displacement reaction

(b) decomposition reaction

(c) double displacement reaction

(d) combination reaction

43. Which of the following reactions is not redox reaction as well as displacement reaction?

(a) 2 2 2 2 42HgCl SnCl Hg Cl SnCl

(b) ZnO C Zn CO

(c) 3 22AI 6HCl 2AICl 3H

(d) 2 2H S Cl 2HCl S

44. Gravity separation method is based upon

(a) preferential washing of ores and gangue particles

(b) difference in densities of ore particles and impurities

(c) difference in chemical properties of ore particles and impurities

(d) None of these

45. Acetic acid was added to a solid X kept in a test tube. A colourless and adourless gas was evolved.The gas was passed through lime water which turned milky. It was concluded that

(a) Solid X is sodium hydroxide and the gas evolved is CO2

(b) Solid X is sodium bicarbonate and the gas evolved is CO2

(c) Solid X is sodium acetate and the gas evolved is CO2

(d) Solid X is sodium chloride and the gas evolved is CO2

13




46. Iron filings were added to solution of copper sulphate. After 10 minutes, it was observed that the bluecolour of the solution changed and layer got deposited on iron filings. The colour of the solution andthat of the layer would respectively be

(a) yellow and green

(b) brown and blue

(c) red and greenish blue

(d) green and reddish brown

47. Give the IUPAC name 3 2 2 2CH CH CH CH CH

(a) pent - 3 - ene

(b) Pentane

(c) Pent-I-ene

(d) Pentyne

48. The no. of moles present in 60 gm of 3NaNo is

(a) 0.50

(b) 0.70

(c) 0.90

(d) 1.50

49. Find the mass % of solute, if d = 15 gm/cc, Bm 98 , m = 5

(a) 4.26%

(b) 3.26%

(c) 5%

(d) 5.25%

50. The element which is a liquid below 30°C is

(a) Cesium

(b) Lithium

(c) Magnesium

(d) Sodium

14




51. Pepsin digests –

(a) Protein

(b) Fat

(c) Carbohydrate

(d) Cellulose

52. In anaerobic respiration –

(a) O2 is given out

(b) CO2 is given out

(c) CO2 is taken in

(d) O2 is taken in

53. The exchange of gases [O2 and CO2] in a mammal takes place in –

(a) Trachea

(b) Bronchi

(c Bronchioles

(d) Alveoli

54. Maximum developed cerebrum is found in :-

(a) sharks

(b) rabbit

(c) man

(d) whale

55. Grey matter of the brain contains :-

(a) cell bodies

(b) cell bodies with processes

(c) cell bodies with processes and a large number of synapses

(d) sensory and motor nerve cells

56. Haemocoel is found in :-

(a) Arthropods

(b) Molluscs

(c) Both of these

(d) None of these

15




57. Excretory organs of annelids are :-

(a) Protonephridia

(b) Nephridia

(c) Green glands

(d) Kidneys

58. Abscisic acid induces :-

(a) Shoot elongation

(b) Cell elongation and cell wall formation

(c) Cell division

(d) Leaf fall and dormancy

59. Compensation point is

(a) where there is neither photosynthesis nor respiration

(b) when rate of photosynthesis is equal to the rate of respiration

(c) when there is enough water just to meet the requirements of plant

(d) when the entire food synthesised in photosynthesis remain unutilised

60. Malpighian body is found

(a) in kidney of vertebrates and is involved in the formation of urine

(b) in vertebrates and involved with filtration of blood

(c) in insects and involved in excretion

(d) invertebrates and involved with filtration of blood

“Dream Big, aim bigNo dream is too big,

No aim is impossible” — Dr. A.P.J. Abdul Kalam

1

VIDWAN’s Formula One Test - 3rd Edition- 12/11/2017, Class-XI






INSTRUCTIONS


Father’s Name

Enrollment No.

ORM

ULA

ON

E T

EST



Dat

e.:1

2- 1

1 - 2

017

ASet












3rd E

DIT

ION

For Class XI students (11th)CODE: VIDWAN–LAVA–F1–03–0007



2




3




SCIENTIFIC APTITUDE01. Let 0 1 2 3 4 5A A A A A A be a regular hexagon inscribed in a circle of unit radius. Then the product of the

lengths of the line segments 0 1 0 2A A ,A A and 0 4A A is

(a) 34

(b) 3 3

(c) 3

(d) 3 32

02. Let for 1a a 0 , 2 21 1 1f(x) ax bx c, g(x) a x b x c and p(x) f(x) g(x) . If p (x) = 0 only

for x = -1 and p(-2) = 2, then the value of p(2) is :

(a) 3

(b) 9

(c) 6

(d) 18

03. For r = 0, 1 , ...., 10, let r r rA , B and C denote, respectively, the coefficient of rx in the expansions of

10(1 x) , 20 30(1 x) and (1 x) . Then 10

r 10 r 10 rr 1

A (B B C A )

is equal to

(a) 10 10B C

(b) 210 10 10 10A (B C A )

(c) 0

(d) 10 10C B

04. If the line y 3 x 3 0 cuts the parabola 2y x 2 at A and B, then PA.PB is equal to [where Pe P

is ( 3 ,0) ]

(a) 4( 3 2)3

(b) 4(2 3)3

(c) 4 32

(d) 2( 3 2)3

4




05. A line bisecting the ordinate PN of a point 2P(at , 2at), t 0 , on the parabola 2y 4ax is drawnparallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, thenthe coordinate of T are

(a) 40, at3

(b) (0, 2at)

(c) 10, at4

(d) (0, at)

06. A rail track made of steel having length 10 m is clamped on a railway line at its two ends .On asummer day due to rise in temperature by 20oC. It is deformed as shwon in fig .Find x(displacementof the centre) if

(a) 315 30 10 cm

(b) 310 30 10 cm

(c) 325 30 10 cm

(d) 320 30 10 cm

07. In the pulley system show, If radii of the bigger and smaller pulley are 2 m and 1m respectively andthe acceleration of block A is 5 m/s2 in the down word direction then the acceleration of block B willbe

(a) 20m / s

(b)5 2m / s

(c)10 2m / s

(d)5/2 2m / s

08. P-V graph for the an ideal gas undergoing polytrophic process PVm=constant is shown here .Find thevalue of m

(a)34

(b)32

(c)53

(d)32

5




09. In the P-V diagram shown in fig ABC is a semicircle. The work done in the process ABC is(a)zero

(b) atm It2

(c) atm It2

(d)4atm-It10. Find the distance covered by a particle from time t = 0 to t=6 sec , when the particle follows the

movement according to y a cos t4

(a)a(b)2a(c)3a(d)4a

11. Ovule is ategmic in(a) Helianthus(b) Pea(c) Santalum(d) Brassica

12. Totipotent cell refers to(a) An undifferentiated cells capable of developing into complete embryo(b) An undifferentiated cell capable of developing into an organ(c) An undifferentiated cell capable of developing into a system or entire plant(d) Cells which lack the capability or differentiating into an organ or system

13. How many grams of concerned nitric acid solution should be used to prepare 250 mL of 2.0 3M HNO ?

The concentrated acid is 70% 3HNO ?

(a) 90.0 g conc. 3HNO

(b) 70.0 conc. 3HNO

(c) 54.0 g conc. 3HNO

(d) 45.0 g conc. 3HNO

14. The density (in g mL -1) of a 3.60 M 2 4H SO solution having 29% by mass of 2 4H SO (molar mass 98)will be:(a) 1.45(b) 1.64(c) 1.88(d) 1.22

6




15. The energy of second Bohr’s orbit in H-atom is –328 kJ mol-1, hence the energy of fourth Bohr’sorbit would be:(a) –82 kJ mol-1

(b) –41 kJ mol-1

(c) –1312 kJ mol-1

(d) –164 kJ mol-1

MATHEMATICS

16. If the tangent at the point 164 cos , sin11

to the ellipse 2 216x 11y 256 is also a tangent

to the circle 2 2x y 2x 15 , then the values of is

(a) 4

(b) 3

(c) 6

(d) 2

17. Let (a) and (a) be the roots of the equation 23 6( 1 a 1)x ( 1 a 1) x ( 1 a 1) 0 where

a > - 1. Then a 0lim (a)

and

a 0lim (a)

are

(a) 5 and 12

(b) 1 and 12

(c) 7 and 22

(d) 9 and 32

18. The derivative of f(tan x) w.r.t g(sec x) at x4

, where f’(1) = 2 and g'( 2) 4 , is

(a) 12

(b) 2

(c) 1(d) None

7




19. The length of the shortest distance between the line x 1 y 2 z 3

2 3 4

and x 2 y 4 z 5

3 4 5

is

(a) 16

(b) 6

(c) 1

(d) 0

20. If n integers taken at random are multiplied together, then the probability that the last digit of theproduct is 1, 3,7 or 9 is

(a) n

n

25

(b) n n

n

4 25

(c) n

n

45

(d) none of these

21. A car is parked by an owner amongst 25 cars in a row, not at either end. On his return he finds thatexactly 15 places are still occupied. The probability that both the neighboring places are empty is

(a) 91

276

(b) 15

184

(c) 1592

(d) None

22. If one root of the equation 2x px 12 0 is 4, while the equation 2x px q 0 has equal roots,then the value of ‘q’ is

(a) 4

(b) 12

(c) 3

(d) 494

8




23. If p : It rains today, q : I go to school, r : I shall meet any friends and s : I shall go for a movie, thenwhich of the following is the proposition :

If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie

(a) ~ (p q) (r s)

(b) ~ (p ~ q) (r s)

(c) ~ (p q) (r s)

(d) None of these

24. If p : 2 is an even number

q : 2 is a prime number

2r : 2 2 2

Then the symbolic statement p (q r) means

(a) 2 is an even number and 2 is a prime number or 22 2 2

(b) 2 is an even number then 2 is prime number or 22 2 2

(c) 2 is an even number or 2 is a prime number then 22 2 2

(d) If 2 is not even number then 2 is a prime number of 22 2 2

25. Equation of the latus rectum of the hyperbola 2 2 2(10x 5) (10y 2) 9(3x 4y 7) is

(a) 1 3 1y x5 4 2

(b) 1 3 1y y5 4 2

(c) 1 3 1y x5 4 2

(d) 1 3 1x y5 4 2

26. If the tangents PA and PB are drawn from the point P(-1, 2) to the circle 2 2x y x 2y 3 0 andC is the centre of the circle, then the area of the quadrilateral PACB is

(a) 4

(b) 16

(c) does not exist

(d) None of these

9




27. The equation of the smallest circle passing through the intersection of the line x + y =1 and the circle2 2x y 9 is

(a) 2 2x y x y 8 0

(b) 2 2x y x y 8 0

(c) 2 2x y x y 8 0

(d) None of these

28.2.4 3.5 4.61.3 ......1.2 1.2.3 1.2.3.4

(a) 3 e(b) 4 e

(c) 4 e3

(d) 2e

29. If n

n rr

r 0(1 x) a .x

and rr

r 1

ab 1a

and 100n

rr 1

(101)b100!

, then n is

(a) 99(b) 100(c) 101(d) None

30. A student read common difference of an A.P. as - 2 instead of 2 and got the sum of first 5 terms as 5 .Actual sum of first five terms is(a) 25(b) -25(c) -35(d) 35

GENERAL SCIENCE31. find the maximum value of (M/m) in the situation shown in figure so that the system remains at rest

.friction coefficient of both the contacts is , string is massless and pulley is friction less.

(a)cos

sin cos

(b)sin

sin cos

(c)cos

sin cos

(d) sin cos

10




32. A block is released from rest from a height h = 5 m. After travelling through the smooth curvedsurface it moves on the rough horizontal surface through a length l = 8 m and climbs onto the othersmooth curved surface through a height h’. If = 0.5, find h’.

(a) 2 m

(b) 3 m

(c) 1 m

(d) zero

33. Two equal spheres A and B lie on a smooth horizontal circular groove at opposite ends of adiametere , At time t =0 , A is projected along the groove and it first impinges on B at time t =T1 andagain at time t = T2 if e is the coefficient of restitution , the ratio T2/T1 is

(a)2e

(b) 2 e

2

(c) 2 e 1

e

(d) 2 e

e

34. A uniform horizontal 200 N beam AB of length L has two weights hanging from it, 300 N at L/3 fromend A and 400 N at 3L/4 from the same end .What single additional force acting on the beam willproduced equilibrium?

(a) 900N in the middle

(b) 900N,at 0.4L from A

(c) 900N, at 0.46L from A

(d) 900N,at 0.56L from A

35. The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest without slipping will be

(a)10gh

7

(b) gh

(c)6 gh5

(d)4 gh3

11




36. If the potential energy of a spring is V on stretching it by 2 cm, then its potential energy when it isstretched by 10 cm will be

(a)V/25

(b)5V

(c)V/5

(d)25V

37. The pressure energy per unit volume of a liquid is

(a)P

(b)P

(c) P

(d) P

38. A wave in a string has an amplitude of 2 cm .The waves traveles in the +ve direction of x axis with aspeed of 128 ms-1 and it is noted that 5 complete waves fit in 4 m length of the string .The equationdescribing the wave is

(a) y 0.02 msin 7.85x 1005t

(b) y 0.02 msin 15.7x 2010t

(c) y 0.02 msin 15.7x 2010t

(d) y 0.02 msin 7.85x 1005t

39. The position of a particle moving rectilinearly is given by 3 2x t 3t 10 .Find the distance travelledby the particle in the first 4 seconds starting from t = 0.

(a)24 units

(b)36 units

(c)15units

(d)50units

40. Measure of two quantities along with precision of respective measuring instrument is A = 2.5ms-1

0.5ms-1, B=0.10s 0.01s.The value of AB will be

(a)(0.25 0.08)m

(b)(0.25 0.5)m

(c)(0.25 0.05)m

(d)(0.25 0.135)m

12




41. If the nitrogen atom had electronic configuration 1s7, it would have energy lower than that of thenormal ground state configuration 1s22s22p3, because the electrons would be closer to the nucleus.Yet 1s7 is not observed because it violates:(a) Heisenberg’s uncertainly principle(b) Hund’s rule(c) Pauli’s exclusion principle(d) Bohr’s postulate of stationary orbits

42. Correct order for solubility is:(a) CuS > ZnS > Na2S(b) ZnS > Na2S > CuS(c) Na2S > CuS > ZnS(d) Na2S > ZnS > CuS

43. The shape of 2 2XeO F molecule is:

(a) Trigonal bipyramidal(b) Square planar(c) Tetrahedral(d) See - saw

44. The bond order in NO is 2.5 while that in NO is 3. Which statement is true for these two species?

(a) Bond length is unpredictable

(b) Bond length in NO is greater than in NO

(c) Bond length in NO is equal to that in NO

(d) Bond length in NO is greater than in NO

45. If one mole of a monoatomic gas 5 / 3 is mixed with one mole of a diatomic gas 7 / 5 , thevalue of for the mixture is:(a) 1.4(b) 1.5(c) 1.53(d) 3.07

46. An ideal gas is allowed to expand both reversible and irreversibly in an isolated system. If iT is the

initial temperature and fT is the final temperature, which of the following statements is correct?

(a) f firrev revT T

(b) f iT T for reversible process but f iT T for irreversible process

(c) f frev irrevT T

(d) f iT T for both reversible and irreversible processes

13




47. When one mole of monoatomic ideal gas at TK undergoes reversible adiabatic change under aconstant external pressure of 1 atm changes volume from 1 litre to 2 litre. The final temperature iskelvin would be:

(a) 2/3T

2

(b)2T

3 0.0821

(c) T

(d)3T

2 0.0821

48. 40% of a mixture of 0.2 mole of 2N and 0.6 mole of 2H react to give 3NH according to the equation,

2 2 3N g 3H g 2NH g at constant temperature and pressure. Then the ratio of the finalvolume to the initial volume of gases is:(a) 4 : 5(b) 5 : 4(c) 7 : 10(d) 8 : 5

49. At temperature T, a compound 2AB g dissociates according to the reaction

2 22AB g 2AB g B g with a degree of dissociation x, which is small compared with unity..

The expression for pK , in terms of x and the total pressure P is:

(a)3Px

2

(b)2Px

3

(c)3Px

3

(d)2Px

2

50. An acid-base indicator has 5aK 3.0 10 . The acid form of the indicator is red and the basic form is

blue. The H required to change the indicator form 75% red to 75% blue is:

(a) 58 10 M

(b) 59 10 M

(c) 51 10 M

(d) 43 10 M

14




51. Ubisch bodies found in tapetal cell help in formation of

(a) Pollen kit and pollinia

(b) Exine

(c) Sporopollenin

(d) Intine and pollen kit

52. Gemmule formation in sponges is helpful in(a) Parthenogenesis

(b) Sexual reproduction

(c) Only dissemination

(d) Asexual reproduction

53. The human sperms were first seen and discovered by

(a) Ernst Haeckel

(b) Hamm and Leeuwenhoek

(c) Louis Pasteur

(d) Robert Hooke

54. Which of the embryo has parasite mode of nutrition.

(a) Bird’s embryo

(b) Amphibian embryo

(c) Reptilian embryo

(d) Mammalian embryo

55. The diagram representing karyotype of a species is called

(a) Idiograph

(b) Idiotype

(c) Idiogram

(d) All the above

56. Which of the following are most abundant types of antibodies

(a) IgA(b) IgE

(c) IgG

(d) IgM

57. The transfer of protein from electrophoretic gel to nitrocellulose membrane is known as(a) Transferase

(b) Northern blotting

(c) Western blotting

(d) Southern blotting

15




“Dream Big, aim bigNo dream is too big,

No aim is impossible” — Dr. A.P.J. Abdul Kalam

58. “Philadelphia chromosome’’ is found in the patient suffering from

(a) Insomnia

(b) Leukaemia

(c) Hepatitis

(d) Albinism

59. The number of individuals in each trophic level depends upon(a) The number of individuals at higher trophic level

(b) The number of individuals at the lower trophic level

(c) The number of food chains present

(d) The amount of sunlight available

60. Which one of the following pairs is not correctly matched

(a) Plasmid—Small piece of extrachromosomal DNA in bacteria

(b) Interferon—An enzyme that interferes with DNA replication

(c) Cosmid—A vector for carrying large DNA fragments into host cells

(d) Myeloma—Antibody–producing tumor cells

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