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Class: IX Time: 2 hours Maximum Marks: 100
Name of the Candidate: _________________________________________________
Roll Number: __________________________________________________________
Candidate’s Signature: ________________ Invigilator’s Signature: _______________
Instructions
A. General:
1. This booklet is your Question Paper containing
11 Printed Pages. Do not open this booklet before
being instructed to do so by the invigilators.
2. Blank papers, clipboards, log tables, slide rules,
calculators, cameras, cellular phones, pagers and
electronic gadgets are NOT allowed inside the
examination hall.
3. Write your name and roll number in the space
provided below.
4. Use a black ball point pen/HB pencil to darken the
bubbles on the OMR sheet.
B. Question Paper Format:
The question paper consists of two sections.
1. Section 1 contains 20 multiple choice questions of
MATHEMATICS. Each question has four choices (A),
(B), (C) and (D) out of which ONLY ONE is correct.
2. Section 2 contains 20 multiple choice questions of
APPTITUDE. Each question has four choices (A), (B),
(C) and (D) out of which ONLY ONE is correct.
C. Marking Scheme:
1. For each question in Section 1, you will be awarded
3 marks if you darken the bubble corresponding to
the correct answer and zero mark if no bubbles are
darkened. In all other cases, minus ONE (–1) mark
will be awarded.
2. For each question in Section 2, you will be awarded
2 marks if you darken all the bubble(s) corresponding
to only the correct answer and zero mark if no
bubbles are darkened. In all other cases, minus HALF
(–1/2) mark will be awarded.
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Section-I 1. If the largest angle in a triangle is 70o, what is least possible value of the
smallest angle of the triangle?
A) 69o B) 1o C) 40o D) 39o
2. Consider a right angled triangle ABC with right angle at A. The radius of its
incircle is r. Find the radius of circle drawn touching the line segments AB, AC
and incircle of ABC triangle.
A) (3 - √2)r. B) (3 - 2√2)r C) (3 - 3√2)r D) (3 - 2√3)r.
3. In a sequence S is obtained by omitting the perfect squares from sequence of
natural numbers. What is the 2017th term of sequence S?
A) 2061. B) 2062. C) 2063. D) 2064.
4. Let x, y are the two prime numbers which satisfy the equation
xy(x+y)=2010.Then num of such ordered pairs of x, y are
A) 0 B)2 C)3 D)4
5. In a triangle ABC, D is midpoint of BC and AD> BC/2 .Then
A) A<90° B) A<120° C) A<135° D) A<150°
6. If the last digits of the products 1.2, 2.3, 3.4 , .......... n(n+1) are added and the
obtained result is ‘S’. Then which of the following value of S is not possible
A) 2010 B) 2012 C) 2014 D) None
7. In quadrilateral ABCD AB=3, BC= 4, CD=5, ∠ABC= ∠BCD= 120°, Find area
of quadrilateral.
A) 63(√3/2). B) 47(√3/4). C) 63(√3/4). D) 51(√3/2)
8. Let P(x) be a non-constant polynomial whose coefficients are positive integers.
If P(n) divides P(P(n)-2016) for every natural number n , then the value of P(-
2016) is
A) 2016 B) 0 C)-2016 D) cannot be determined
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9. Let AB be a line segment of length 26. Let C and D be points on AB such that
AC=1 and AD= 8. Let E and F be points on one of semicircles with diameter AB
for which EC and FD are perpendicular to AB. Find length of line segment EF.
A) 5 B) 3 C) 7√2. D) 9√2
10. All the numbers between 1947 and 2008 are written including 1947 and
2008. From the list, all the multiples of 3 and 5 are removed. The sum of
remaining numbers is
A) 41548 B) 73138 C) 65248 D) 65278
11. Number of real functions f from R to R satisfying the relation
f(x2+yf(x)) = xf(x+y).
A) 0 B) 1 C) 2 D) Infinite
12. A certain two digit integer has only two distinct prime factors, the number of
its divisions is 6 and the sum of the divisors is 28. Find the ratio of units digit to
that of tens digit
A) 1:3 B) 2:1 C) 1:1 D) 3:1
13. Number of admissible pairs (x,y,z) such that all are positive real numbers and
satisfy the following conditions.
2x-2y+1/z=1/2014; 2y-2z+1/x=1/2014; 2z-2x+1/y=1/2014 .
A) 1 B) 3 C) 5 D) 7
14. Remainder of 67! When divided by 71.The remainder is a two digit number.
The sum of the digits in the remainder is:
A) 3 B) 4 C) 5 D) 2
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15. Let l1,l2 be any two parallel lines and B,C be any two points on l1 and A1,
A2,……,A2016 be points on l2. If Di denotes the area of the triangle AiBC and if
∑ 𝐷i2016𝑖=1 =2016. Then area of triangle A2016BC is
A) 1 B) 1/2 C) 2 D) 2016
16. If (n+3)2= a(n+2)2+ b(n+1)2+cn2for every positive integer n, then axbxc =
A) 9 B) -9 C) 4 D) -4
17. A tank is filled by three pipes with each pipe having uniform flow. The first two
pipes operating simultaneously fill the tank in the same time during in which the
tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster
than the first pipe and 4 hours slower than the third pipe. The time required by
the first pipe to fill the tank is:
A) 6 hours B) 10 hours C) 15 hours D) 30 hours
18. If x is the first term of an Infinite G.P whose sum is 10, then?
A) 0<x<10 B) -5<x<5 C) -10<x<10 D) x>10
19. If f(n) = n(n+1) for all Natural numbers n, then no. of values of n such that
f(n+4) = 4f(n)+4 .
A) 0 B) 1 C) 2 D) 3.
20. A circle of maximum possible size is cut from a square sheet of board.
Subsequently, a square of maximum possible size is cut from the resultant circle.
What will be area of the final square?
A) 75% of the of the original square
B) 50% of the size of the original square
C) 75% of the size of the circle
D) 25% of the size of the original square
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Section-II
1. F21, S23, T25, T27, S29, M31, __? Find out the next term in the series A) P33 B) B31 C) W02 D) K33
2. There are 35 steps in a temple. By the time Chithra comes down two steps, Madhu goes up one step. If they start simultaneously and keep their speed uniform, then at which step from the bottom will they meet? A) 11th step B) 12th step C) 13th step D) None of the above 3. Find the odd one among the following 396, 462, 572, 427, 671, 264
A) 396 B) 427
C) 671 D) 264
4. Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
A. 5 min. B. 9 min.
C. 10 min. D. 15 min.
5. Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
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A) 145 B) 245 C) 123 D) 234
6. Find the missing term
2, 3, 6, 0, 10, -3, 14, (...)
A) 6 B)2 C)-2 D)-6
7. 18. In a certain code, BREAKTHROUGH is written as EAOUHRBRGHKT. How is DISTRIBUTION written in that code:
A) TISTBUONDIRI B) STTIBUONRIDI
C) RISTTIBUDION D) STTIBUDIONRI
8. Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).
A) 1 B) 2
C) 3 D) 4
9. Find the next term in the given series
Z1A X2D V6G T21J R88M P445P ?
A) N2676S B) N2670S C)T2670N D)T2676N
10. Choose the alternative which closely resembles the water-image of the given combination.
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A) 1 B) 2 C) 3 D) 4
11. A told B that C is his father’s nephew. D is A’s cousin but not the brother of C. what is the relation between D and C?
A) father B) sisters C) aunt D) mother
12. Choose the box that is similar to the box formed from the given sheet of paper(X).
(A)1 and 2 only B) 2 and 4 only C) 2 and 3 only D) 1 and 4 only
13. Observe the logic in the first series and apply the same in the second series and answer the following question
4 14 36 114 460 ? 2 a b c d e
Find the value of e A) 1503 B) 2062 C) 3251 D) 4698
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14.Select the figure which satisfies the same conditions of placement of the dots as in figure-X
A) 1 B) 2 C) 3 D) 4
15. On a certain multiple choice test, one of the questions was illegible, but the
choice of answers, given below, was clearly printed.
(1) All of the below (2) None of the below (3) All of the above
(4) One of the above (5) None of the above (6) None of the above
Then which option is correct?
A) 3 B) 4 C) 5 D) 6
16. If “+” stands for ‘division’, “×” stands for ‘addition’, “–“ stands for
‘multiplication’ and “ ‚” stands for ‘subtraction’, then which of the following
equations is correct?
A) 36 × 6 + 7 ‚ 2 – 6 = 20 B) 36 ‚ 6 + 3 × 5 – 3 = 45
C) 36 + 6 – 3 × 5 ‚ 3 = 24 D) 36 – 6 + 3 × 5 ‚ 3 = 74
17. AR, TA, GE, CA, ??, VI, LI, SC
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Find the missing alphabets in the series
A) SA B) AQ C) PI D) SC
18. If S is the largest number that can be formed using four 2’s and using only
the four basic operations then the sum of digits of S is
A) 8 B) 12 C) 16 D) 20
19. A conversation between 2 people:
"Hello. Is this ABC?"
"Yes. May I know who this is?"
"My mother is your mother's mother-in-law."
Which among the following relationship is not possible?
A) Father and child B) Paternal uncle-aunt
C) Father –aunt D) nephew –niece
20. Find the missing term 2, 12, 36, 80, __, 252
A) 120 B) 136 C) 150 D) 162
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SPACE FOR ROUGH WORK
Wissenaire
Wissenaire is the annual techno-management festival of Indian Institute of Technology
Bhubaneswar held in the Arugul campus of the prestigious IIT Bhubaneswar. It is one of
the most awaited technical festival of East India. It is a three day long event usually held
during first week of January. The word Wissenaire is derived from the German word
‘Wissen’ meaning knowledge and ‘air’ meaning free. Thus it is justified by its tagline
Knowledge Runs Free. Wissenaire encompasses various sectors of technology, science
and management. These including quizzing, coding, designing, robotics, planning and
testing the creativity and innovative spirit of young technical minds. With this motive
Wissenaire’17 is conducting Qwissenaire’17, the Talent Test to ignite minds of 8th, 9th
and 10th class students.
