1. What least number must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 willleave in each case the same remainder 6 ?(A) 0 (B) 1 (C) 2 (D) 3

2. If sina + coseca = 2 then sinna + cosecna = ?

(A) n(sina + coseca) (B) 2 (C) a+a eccossinn

(D) None

3. If y = x + x1

then x4 + x3 4x2 + x + 1 = 0 becomes :

(A) x2 (y2 + y 6) = 0 (B) x2(y2 + y 2) = 0 (C) x2(y2 + y 3) = 0 (D) x2(y2 + y 4) = 0

4. A book containing 100 pages is opened at random. The probability that a doublet page is found is :

(A) 1009

(B) 10090

(C) 10010

(D) 10020

5. A circle with area A1 is contained in the interior of a larger circle with area A1 + A2. If the radius of the largercircle is 3 and A1, A2, A1 + A2 are in A.P., then the radius of the smaller circle is :

(A) 23 (B) 3

2(C) 3 (D) 2

33

6. The price of an article was increased by r%. Later the new price was decreased by r%. If the latest pricewas Rs. 1, then the original price was :

(A) Rs. 1 (B) Rs.

-100

r1 2(C) Rs.

100r1 2- (D) Rs.

- 2r1000010000

7. A hesphere is full of liquid with inner radius of 9cm. This is to be poured into cylindrical bottles of diameter3 cm. and height 4 cm. The number of bottles required are :(A) 50 (B) 54 (C) 45 (D) None

8. A toy train crosses 210 m and 122 m long tunnels in 25 and 17 seconds respectively. The length of thetrain is:(A) 11 m (B) 65 m (C) 332 m (D) 88 m

SAT PAPER

9. In the shown figure, AC is the diameter of the circle & ADB = 20, then find BPC.

A

B

C

DE

P

(A) 150 (B) 120 (C) 90 (D) 110

10. A man can do a job in 5 hrs, After 2 hrs. 20 min. the man stop working. He is replaced by a woman tocomplete the job. She does the remaining work in 1 hr. 40 min. If the woman work alone, how much fasterwill she be than the man ?(A) 1 hr 25 min 30 sec. (B) 1 hr. 52 min 30 sec. (C) 2 hrs 50 min. (D) 1 hr. 55 min 30sec.

11. From a solid cone of height 6 cm and radius 26 cm the maximum possible cube is cut. What is the

volume (in cm3) of the remaining portion of the cone.(A) 128p 16 (B) 133p 64 (C) 144p 64 (D) 400p 64

12. On a river, B is between A and C and is also equidistant from A and C. A boat goes from A to B and backin 5 hrs 15 mins. and from A to C in 7 hrs. How long will it take to go from C to A if the river flows from Ato C :

(A) 2 hrs (B) 412 hrs (C) 413 hrs (D) 213 hrs.

13. Two taps P and Q can each fill an empty tank in 15 min and 20 min respectively. A third tap R can emptythe full tank in 30 min. If all three of them operate alternately in the order P, Q, R for one minute eachstarting with P, in how much time will an empty tank be filled ?

(A) 35 min (B) 34 21

min. (C) 34 31

min. (D) 36 min

14. If x = 21/3 21/3, find the value of 2x3 + 6x(A) 4 (B) 3 (C) 8 (D) 10

15. The average weight of 36 pupils is 60 kgs. 17 of them weigh 50 kgs on an average, 17 of the rest weigh 70kgs on an average if the remaining two pupils are of equal weight, calculate their weight :(A) 60 kg (B) 50 kg (C) 80 kg (D) 70 kg

16. The ratio of the roots of lx2 + nx + n = 0 is p : q then :

(A) pq + q

p + nl = 0 (B) qp + p

q + ln = 0

(C) pq + q

p nl = 0 (D) qp + p

q ln = 0

17. Given curve is of ax2 + bx + c : which of the following is true :

(A) a > 0, b > 0, c > 0 (B) a < 0, b > 0, c < 0(C) a < 0, b < 0, c < 0 (D) a > 0, b < 0, c < 0

18. If the points A(2, 3), B(5, k), C(6, 7) are collinear, then value of k is :(A) 4 (B) 11/4 (C) 6 (D) 3/2

19. A, B, C are three collinear points on the ground such that B is between A and C and distance AB =10 cm.If the angles of elevation of the top of a vertical tower at C are, respectively 30 and 60 as seen from A andB, then height of the tower (in metres) is :

(A) 3

320 (B) 3

310 (C) 35 (D) 5

20. Rs 1220 is divided, among A, B, C & D, such that Bs share is 5/9 th of A's, C's share is th

107 of B, and

D has rd

31 as much as B and C together. Find A's share :

(A) Rs 540 (B) Rs 802 (C) Rs 100 (D) Rs 650

21. In the adjoint figure, Calculate VA VB ?

(A) 6 Volt (B) 310

Volt (C) 0 Volt (D) 320

Volt

22. A Heater (1000W, 220V) is connected with main supply of 220V. The heater can raise temperature ofsome water by 50C in time t. Now an identical heater is connected in parallel with first heater and wateris replaced by another liquid of same mass. Then calculate the change in temperature of liquid in time t.[specific heat of water is 1 cal/g.c.specific heat of liquid is 0.3 cal/g.c.](A) 100C (B) 333.3C (C) 166.67C (D) 1000C

23. A current carrying coil is placed in east-west plane. an another wire PQ having current i2 is placedhorizontally and passing through centre of coil. Then calculate force applied on PQ due to magnetic fieldof coil.[ Here R Radius of coil , l length of wire PQ]

i1

P Q

R

i2

(A) R2ii 210 lm (B) R2

ii 210m sinq (C) 0 (D) lR2i10m

24. Two identical coil is wounded on an insulated cylindrical rod. Coil A is connected with a battery and coilB is connected with a galvanometer. Which of the following statement is/are correct if switch s is closedfirst and then open.

Gv+

A B

S

(A) Galvanometer shows deflection in both situation and in same direction.(B) Galvanometer shows deflection in both situation and in opposite direction.(C) Galvanometer shows no deflection(D) Galvanometer shows deflection only when switch s closed.

25. In the following reactions, find out X, Y and Z :

(i) H21 + H31 X + Y + energy(ii) p n + Z + u(A) H41 , H11 , e01 (B) He42 , n10 , e01 (C) He42 , n10 ,

01 e (D) He32 , n10 ,

01 e

26. A deviation in the path of a ray of light can be produced:(A) by a glass prism as wess as a rectangular glass slab(B) by a rectangular glass slab but not by a glass prism(C) by a glass prism but not by a rectangular glass slab(D) neither by a glass prism nor by a rectangular glass slab

27. If the density of air at a point through which a sound wave is passing is maximum at an instant thepressure at that piont will be :(A) minimum (B) same as the denstiy of air(C) equal to the atmospheric pressure (D) maximum

28. Match the following columns :Column I Column II(i) Concave mirror p magnified virtual image(ii) Convex mirror q Real diminished image(iii) Convex lens r Real enlarged image(iv) Concave lens s virtual diminished image(A) i -(p, q, d), ii (p, s), iii (q, r), iv (p, s)(B) i -(q, r), ii (p, b), iii (q, r), iv (p, s)(C) i -(p,q,r), ii s, iii (p, q, r), iv s(D) i -(p, q, r), ii s, iii s, iv (p, q, r)

29. Match the following columns :[Here d displacement, v velocity, t time]Column I Column II

(i)

d

t

(p)

v

t (ii) d

t

(q) v

t

(iii) d

t

(r) v

t

(iv)

d

t (s)

v

t

(A) i r, ii s, iii p, iv q (B) i p, ii s, iii r, iv q(C) i s, ii q, iii p, iv r (D) i p, ii q, iii r, iv s

30. A batsman hits a stationary ball of mass 100g with his bat. There is the time of contact Dt = 0.5 s withball. due to impact, Ball covers 25 m in 0.2s then calculate the impulse.(A) 25 N.s (B) 6.25 N.s (C) 12.5 N.s (D) 5 N.s

31. The force acting on a block due to earth has a magnitude F0 and the force acting on the earth due to theobject has a magnitude Fe. Then(A) F0 < Fe (B) F0 > Fe (C) Fe = 0 (D) Fe = F0

32. Match the following columns :Column I Column II(i) Work done on a stone by the (p) Negativestring when stone is whirledin a circle(ii) Work done by gravity when we (q) Zerolift an object to some height h(iii) Work done by force F in adjoining (r) Positivefigure when object is displaced towards right

m

(A) i p, ii q, iii r (B) i q, ii p, iii r(C) i p, ii r, iii q (D) i q, ii r, iii p

33. Which of the following is not a separation process for gasgas mixture ?(A) Diffusion (B) Preferential liquefaction(C) Fractional evaporation (D) fractional distillation

34. Na+, F and Mg2+ ions have the same(A) size (B) electronic configuration(C) ionisation energy (D) Nuclear charge

35. Select the correct statement (A) Atoms are more stable than molecules(B) Boiling point of H2S > H2O(C) Thermal stability of graphite > Diamond(D) Conversion of diamand to graphite is a reversible reaction

36. a KI + b H2SO4 + c MnO2 KHSO4 + MnSO4 + H2O +I2coefficient a, b and c respectively are (A) 1, 2 and 3 (B) 2, 4 and 3 (C) 2, 3 and 1 (D) It never be balanced

37. Which metal ore is known as fools gold (A) copper pyrites (B) Iron pyrites (C) Barytes (D) Galena

38. Which of the following statement is incorrect about NaOH (A) It is one of the product which is obtained by chlor-alkali process.(B) It corroded the skin muscles(C) It is used when paper is made from wood.(D) It is used in the formation of soft soap.

39. In a 0.250 M solution of Na3PO4, the concentration of the sodium ions would be :(A) 0.250 M (B) 0.750 M (C) 0.0833 M (D) 1.00 M

40. The electrochemical series dont given idea about(A) reactivity of metals (B) displacement reactions(C) products of electrolysis (D) exothermic process

41. Foods cans are coated with tin and not with zinc because(A) Zn is costlier than tin (B) Zn has a high M.P. than Sn.(C) Zn is more reactive than Sn. (D) Zn is less reactive than Sn.

42. Hydronium ions are :(A) produced by acids (B) produced by bases(C) have the formula OH (D) produced by self ionisation of water

43. If an element has four electrons in its 4th shell, then its atomic number would be :(A) 22 (B) 32 (C) 34 (D) 30

44. Which of the following is an exception of octet rule :(A) Ne (B) Mg2+ (C) PCl3 (D) BF3

45. Select the option for incorrect statements :(i) Industrialists may consider as Stakeholders of forests.(ii) Damage to the environment is basic feature of Sustainable development.(iii) Forests are biodiversity Hotspots.(iv) Khadins are releated to Himachal Pradesh(A) i & iv (B) ii & iv (C) ii & iii (D) i & iii

46. Which one is true about food chain :(A) it involves transfer of food from one trophic level to next(B) level of energy decreases from one trophic level to next(C) Second trophic level is occupied by herbivores as well as carnivores.(D) level of energy increases from one trophic level to next in Aquatic system.

47. If the lamarckian cancept use & disuse of organs applied to germplasm or germinal cells then what isfalse :(A) Son of Blacksmith with be highly muscular as father.(B) well developed wings in flightless Birds.(C) longneck & large fore limbs of Giraffe(D) Absence of earpinna in future human.

48. Veins are blood vessels with lesser elasticity, carries blood to the heart.In a man all veins are replaced with plastic tubes of same elasticity what will happen :(A) there will be no effect.(B) swelling will occur at his legs & hands.(C) Blood carrrying rate will be increased slightly then veins(D) tubes will burst.

49. Math the following columns :Column I Column II(a) Plasmodium (i) fragmentation(b) Spirogyra (ii) Regeneration(c) yeast (iii) Sporulation(d) Paramoecium (iv) Binary Fission

(v) Multiple fission(vi) budding

(A) a v, b iii, c i, d iv (B) a v, b ii, c iii, d i(C) a v, b ii, c iv, d iii (D) a v, b i, c vi, d iv

50. Which of these statements is/are false for Reflex action :(i) effector organ for this action may be glands(ii) cycling after start is the example of conditioned reflex(iii) the pathway of reflex action includes brain at the time of effecting(iv) if the Brain of frog is isolated out then it will not show reflex action.(A) i & iii (B) ii & iv (C) ii & iii (D) iii iv

51. Brain is the very complex form of Nervous tissues. A person is not having the part cerebellum. Select thecorrect statement :(i) That person will not show body balance.(ii) A doctor will unable to identify the effects of alcohol by only watching him.(A) only (i) (B) Both (i) & (ii) (C) only (ii) (D) None of these

52. Complete the following reaction for avaerobic respiration :

glucose Pyruvic acid

Yeast

Muscles

X + 2CO + 2ATP2

Y + Z + 2ATP

(A) X = Alcohol, Y = Lactic acid, Z = CO2(B) X = Lactic acid, Y = Alcohol, Z = CO2(C) X = Alcohol, Y = Lactic acid, Z = none(D) X = lactic acid, Y = Alcohol, Z = none

53. Match the following for compatible merriage female male(a) AB (i) A+

(b) O+ (ii) B

(c) A (iii) O

(iv) B+

(v) AB+

(A) a (iii), b (i), c (ii) (B) a (ii), b (iii), c iii(C) a v, b iv, c iii (D) a ii, b iii, a i

54. In the experiment of croton leaf the specific part of leaf shows negetive result for Iodine test, which one istrue:(A) that part contain starch (B) that part contain only glucose(C) that part not having starch (D) Absence of chlorophyll in that part

55. Match the following :(a) Stethoscope (i) electrical activity of heart(b) EEG (ii) Blood pressure(c) ECG (iii) Heart beat sound(d) Sphygmomanomeler (iv) electrical activity of Brain(A) a (iii), b (iv), c (ii), d (iii) (B) a (iii), b (i), c (iv), d (ii)(C) a (iii),b (ii), c (iv), d (i) (D) a (iii), b (iv), c (i), d (ii)

56. Consider the following two statements on power sharing & then select answers.(A) Power sharing is good for democracy.(B) It helps to reduce the possibility of conflict between social groups.Which of these statements are true & false ?(A) A is ture but B in false (B) Both A & B are true(C) Both A & B are false (D) A is false but B is true

57. Which of the following pairs are not correctly matched ?(A) State Govt. State list(B) Central Govt. Union list(C) Central & state Govt. Concurrent list(D) Local Govt. Residuary Powers

58. Among the following, which country suffered disintegration due to political fights on the basis of religious& ethnic identities.(A) Belgium (B) India (C) Yugoslavia (D) Netherland

59. When we speak of gender division, we usually refer to :(A) Biological difference between men & women(B) Unequal roles assigned by the society to men & women.(C) Unequal child sex ratio(D) Absence of voting rights for women in Democracies

60. Struggle launched for the resolution of a social problem with or without an organisational structure :(A) Movement (B) Political Parties(C) Sectional Interest Group (D) Public Interest group

61. Consider the following statements :(A) Political Parties do not enjoy trust among the people(B) Parties often rocked by scandals involving top party leaders.(C) Parties are not necessary to run government.Which of the above are correct ?(A) A, B & C (B) A & B (C) B & C (D) A & C

62. In the context of Democracies which of the following ideas are correct :Democracies have successfully eliminated :(A) Conflict among people(B) Economic inequalities among people(C) Difference of opinion about how marginalised section are to be treated.(D) The idea of political inequality

63. The term of Lok Sabha can be extended beyond its normal term of five years :(A) By the President at his discreation(B) By the President on the recommendation of the election commission.(C) By the President on the advice of the supreme court(D) By the President during National Emergency

64. In which state of India there is Bicameral legislature ?(A) Punjab (B) Haryana (C) Uttar Pradesh (D) Rajasthan

65. Who Presided over the joint sitting of Lok Sabha & Rajya Sabha ?(A) Vice President (B) Prime Minister (C) President (D) Speaker of Lok Sabha

66. The Proposal of Purna Swaraj was passed in which session of congress ?(A) Lucknow (1928) (B) Lucknow (1929) (C) Lahore (1928) (D) Lahore (1929)

67. Which one of the following areas was the most serious source of nationalist tension in Europe after 1871?(A) The Romanians (B) The Balkans (C) Great Britain (D) Germania

68. Some statements are given below Pick up the correct statements :(a) The first world war occured in 1914.(b) The I.N.C. founded by A.O. Hume.(c) The capital of India was transferred from Calcutta to Delhi in 1811.(d) The Ramakrishan Mission was founded by Annie Beasant.(A) a & b (B) b & c (C) c & d (D) d & a

69. Which Act is known as Black Act ?(A) Ilbert Bill (B) Rowlatt Act (C) Hunter Act (D) Act of 1909

70. The lady who lead the Revolution of 1857 in Lucknow was :(A) Ajigan Bai (B) Begum Hazrat Mahal(C) Zeenat mahal (D) Avanti Bai

71. The policy of Sulh-i-Kulh introduced by which Mughal Emperor :(A) Shah Jahan (B) Jahangir (C) Aurangzeb (D) Akbar

72. Sawai Jai Singh, one of the great Rajput rulers in 18th century was the rular of :(A) Marwar (B) Mewar (C) Amber (Jaipur) (D) Bundi

73. Jazia was a religious tax imposed on Hindus during :(A) Mughal Period (B) Sultanate Period (C) None of them (D) Both of them

74. Young Bengal Movement was started by :(A) Raja Ram Mohan Roy (B) Vivekanand(C) Henry Vivian Derozio (D) Ishwar Chandra Vidya Sagar

75. Who was Political Guru of Gandhiji :(A) G.K. Gokhale (B) Firoz Shah Mehta (C) Dada Bhai Nauroji (D) W.C. Banerjee

76. The Indian Railway is recognised in how many zones(A) 14 (B) 15 (C) 16 (D) 18

77. Read the following statements(i) This soil develops in area with high temperature & heavy rainfall(ii) This soil is useful for growing tea & coffee & in certain areas for cashow nut.(iii) Humus content in this soil is low.The above statements indicate about which of the following soil ?(A) Red & Yellow (B) Black (C) Alluvial (D) Laterite

78. Match the following.Species Plants/Animals(i) Endangered (a) Himalayan brown bear(ii) Vulnerable (b) Mithun(iii) Rare (c) Asiatic elephant(iv) Endemic (d) Indian wild ass

(e) Tailed macague(A) (i) - e, (ii) - a, (iii) - c, (iv) - b (B) (i) - c, (ii) - b, (iii) - a, (iv) - d(C) (i) - e, (ii) - c, (iii) - a, (iv) - b (D) (i) - d, (ii) - a, (iii) - d, (iv) - e

79. Which of the following is correct ?(A) Millets - Jowar, bajra, ragi, maize (B) Rabi - wheat, barley, gram, cucumbers(C) Kharif - moong, urad, groundnut, cotton (D) Kharif - Rice, lineseed, rapeseed & mustard

80. Match the followingA (River) B (Dam)(i) Satluj (a) Sardar Sarovar(ii) Narmada (b) Hirakund(iii) Krishna (c) Bhakra Nangal(iv) Mahanadi (d) Nagarjunasagar(A) (i) - b, (ii) - (c), (iii) - d, (iv) - a (B) (i) - c, (ii) - d, (iii) - a, (iv) - b(C) (i) - d, (ii) - (a), (iii) - b, (iv) - c (D) (i) - c, (ii) - a, (iii) - d, (iv) - b

81. The Balaghat mines are famous for the production of which(A) Iron ore (B) Manganese (C) Copper (D) Bauxite

82. The first successful textile mill was established in _________ in __________ .(A) Surat, 1852 (B) Ahemdabad, 1854 (C) Bombay, 1854 (D) Calcutta, 1852

83. The western disturbances originate over the(A) Mediterranean Sea (B) Arabian Sea (C) Red Sea (D) Bay of Bengal

84. The western coastal strip, south of Goa is referred to as(A) Coromandal (B) Konkan (C) Kannad (D) Northern Circar

85. Majuli is the largest riverine island of the world is formed by which river(A) Ganga (B) Kosi (C) Godavari (D) Brahmaputra

86. District consumer court can hear the cases amounting(A) 10 Lakh (B) 20 Lakh (C) 30 Lakh (D) 50 Lakh

87. Terms of credit include(i) Interest rate (ii) documentation (iii) collateral (iv) Mode of repayment(A) i, iii, iv (B) iii, iv (C) i, ii (D) i, ii, iii, iv

88. In which year need for remaining barriers of an foreign trade & foreign investment in India was felt ?(A) 1990 (B) 1991 (C) 1992 (D) 2000

89. World Consumer Rights day is celebrated on(A) Jan 15 (B) Feb. 15 (C) March 15 (D) Jan. 01

90. UNDP compares countries based on(i) Education (ii) Health status (iii) per-capita income (iv) Foreign reserves(A) i, iii (B) ii, iii, iv (C) i, ii, iii (D) i, ii, iii, iv

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans. B B A A C D B B D B C D C B A

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans. B B C C A C B C B B B D C D CQues. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Ans. D B D B C C B D B D C D B C BQues. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans. B B B D D B C B C D B D C B AQues. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

Ans. B D D C D D B A B B D C D C AQues. 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

Ans. C D C C D C C A C D B D B C C