CA Foundation May 2025 Suggested Answers Paper 3 Quantitative Aptitude

FOR CA FOUNDATION EXAM PREPARATION

CA Foundation 2025
Suggested Answers ·
Paper 3 Quantitative
Aptitude
EXAM YEAR TYPE

CA Foundation 2025 Suggested Answers
SUBJECT DATE

Paper 3 Quantitative Aptitude May 2025

Notes · Sample Papers · Previous Year Papers · Mock Tests

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PAPER – 3: QUANTITATIVE APTITUDE
m
o m All Question are compulsory. c. o
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Time: 2 Hours Marks: 100
1. Aa startup business was initiated by an entrepreneur by investingag
g l` 1,40,000. His friend joined him after six months with an amount of
a ` 2,10,000. Thereafter an angel investor joined them with ` 2,80,000 after
another six months. What should be the ratio of distribution of total
earnings, three years since beginning of business among entrepreneur,
his friend and angel investor?
(A) 7:6:10

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(B) 12:15:16

(C) 42:45:56
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a
(D) 2:3:4

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2.
a
The sum of three numbers is 98. If the ratio of the first to second number
is 2 : 3 and that of the second to third is 5: 8, then the second number is
(A) 20
(B) 30

(C) 48
(D) 58

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a+b 1 a b
m 3. If log (log a + log b), then the value of
.
will be

c. o
= +

em
4 2 b a

em (A) 12
la s
las a g
g
(B) 14
a (C) 16
(D) 8

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QUANTITATIVE APTITUDE

4. If 4x = 5y = 20z then z is equal to
(A) xy
(x + y)
(B)
xy

1
(C)
xy
xy
(D)
(x+ y)

5. If ` 58 is divided among 150 children such that each girl and each boy
gets 25 p and 50 p respectively. Then how many girls are there?
(A) 52
(B) 54
(C) 68
(D) 62
6. Puru gets on the elevator at the 11th floor of a building and rides up at
the rate of 57 floors per minute. At the same time, Ishu gets on an
elevator at the 51" floor of the same building and rides down at the rate
of 63 floors per minute. If they continue travelling at these rates, then at
which floor will their paths cross?
(A) 17

(B) 19
(C) 27
(D) 30

7. The quadratic equation 2x2- 5 x +1= 0 has

(A) Two distinct real roots
(B) Two equal real roots

(C) No real roots

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FOUNDATION EXAMINATION: MAY 2025

(D) More than two real roots
8. For equation x 3 - 6x 2+5x + 12 = 0 , the product of two roots is 12. Which
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of the following is correct set of roots of the equation?
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(A) 1, -3, -4
s e m
(B) 1,m
s e 6, 2 g la
g l(C)a -1, 3, 4 a
a (D) -1, -6, -2
9. On solving the inequalities 6x + y ≥ 18, x + 4y ≥ 12, 2x + y ≥ 10; which of
the following are correct solutions?
(A) (0, 18), (12, 0), (4, 2) and (2, 6)
(B) (3,0), (0, 3), (4, 2) and (7, 6)
(C) (5,0), (0, 10), (2, 4) and (2, 6)
o m
(D) (0, 18), (12, 0), (4, 2) and (0, 7) . c
10. The longest side of a trianglesis em2 times the shortest side and the third
side is 4 cm shorter than g lalongest side. If the perimeter of the triangle
is at least 61 cm, find the aminimum length of the shortest side.
the

(A) 7 cm
(B) 9 cm
(C) 11 cm
(D) 13 cm

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11. A sum of ` 725 is lent in the beginning of a year at a certain rate of simple
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interest. After 8 months, a sum of ` 362.50 more is lent but at the rate

em
twice the former. At the end of the year, ` 33.50 is earned as interest from
la se
las both the loans. What was the original rate of interest?
a g
ag (A) 3.6%
(B) 4.54%

(C) 3.46%

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QUANTITATIVE APTITUDE

(D) 4.12%
12. There is 60% increase in amount in 6 years at simple interest. What will be
the compound interest of ` 12,000 after three years at the same rate?
(A) ` 2,160
(B) ` 3,120

(C) ` 3,972
(D) ` 6,240
13. The effective annual rate of interest corresponding to a nominal rate of
6% per annum payable half-yearly is
(A) 6.06%
(B) 6.07%
(C) 6.08%
(D) 6.09%
14. The compound interest on a certain sum for 2 years at 10% per annum is
` 525. The simple interest on the same sum for double the time at half the
rate percent per annum is -
(A) ` 400
(B) ` 500
(C) ` 600
(D) ` 800
15. Find the future value of an investment of ` 7,000 compounded quarterly
at 10% per annum for 3 years. [Given that (1.025)12 = 1.34489]
(A) ` 9,414.20

(B) ` 7,435.73
(C) ` 7,941.42
(D) ` 8,000.00

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FOUNDATION EXAMINATION: MAY 2025

16. Raju will pay instalments of ` 3,150 per month for the next 3 years
towards his loan at an interest rate 12.4%, discounted monthly, what was

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the approximate amount of loan taken initially?

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[Given that (1.01033)36 = 1.448]

m . s e
e` 9,742.29 la
(A) ` 13,683.60

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(B)

a (C) ` 94,345.17
(D) ` 74,158.24
17. Shiv deposits ` 10,000 annually in a bank for 5 years, at 10 percent annual
compounding interest rate. Calculate the approximate value of this series
of deposits at the end of five years, if each deposit occurs at the
beginning of the year.

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(A) ` 61,050
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em
(B) ` 67,156

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(C) ` 71,050
(D) ` 77,160 a
18. If you deposit ` 4,000 into an account paying 6% annual interest
compounded quarterly, how much approximate money will be in the
account after 5 years?
[Given that (1.015)20 = 1.34489]
(A) ` 3387.42
m
m (C) ` 5387.42
(B) ` 4387.42
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c. o se
m
s em g l a
la
(D) ` 6387.42

g a and annual effective
a
19. Relationship between annual nominal rate of interest
rate of interest, if frequency of compounding is greater than one

(A) Effective rate < Nominal rate

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QUANTITATIVE APTITUDE

(B) Effective rate > Nominal rate
(C) Effective rate = Nominal rate
(D) Effective rate = 0.9 times Nominal rate
20. Madhu invests ` 15,000 in a scheme and at the time of maturity the
amount became` 25,000. If CAGR for this investment is 8.88%, calculate
the approximate number of years for which she has invested the amount.
[Given that log (1.667) = 0.2219 and log (1.089) = 0.037]
(A) 6 years

(B) 7.7 years
(C) 5.5 years
(D) 7 years
21. How much approximate amount should you save annually to accumulate
` 20,00,000 by the end of 12 years, if the saving earns an interest of 14
percent compound annually?
[Given that (1.14)12 = 4.8179]
(A) ` 4,15,118
(B) ` 5,23,848
(C) ` 73,339
(D) ` 1,11,200
22. Dinesh received a cash bonus of ` 1,00,000 which he deposited in a bank
which pays 10 percent interest compounded annually. How much
approximate equal amount can Dinesh withdraw annually for a period of
10 years?

[Given that (1.1)10 = 2.59374]
(A) ` 16,273
(B) ` 38,554

(C) ` 62,745

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FOUNDATION EXAMINATION: MAY 2025

(D) ` 32,474
23. Find the approximate future value of an annuity due of 500 per quarter
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for 8 years and 9 months at the interest rate of 6% compounded

o m m
c
quarterly.

m . (1.015) = 1.6839] s e
e` 13,740.86 la
[Given that 35

l a s a g
g
(A)

a (B) ` 29,428.23
(C) ` 56,971.95

(D) ` 22,796.66
24. A project is expected to provide cash inflows as follows for 3 years:

Year 1 2 3

om
Cash Inflows (`): 40,000 50,000 30,000

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The company's cost of capital or required rate of return is 15%. What is

a s
the present value of cash inflows of the company?
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(A) ` 99,240
a g
(B) ` 1,02,840
(C) ` 1,12,640
(D) ` 92,315
25. In how many of distinct permutations of the letters in "MISSISSIPPI" when
four I's do not come together?
(A) 34650
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c. o m
(B) 40320

em (C) 840
l a se
las (D) 33810
a g
ag 26. Out of 7 consonants and 4 vowels, how many words of 3 consonants and
2 vowels can be formed?
(A) 210

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QUANTITATIVE APTITUDE

(B) 1050
(C) 25200
(D) 21400
27. Seema, Bharati, Priyanka, Khusboo and Lalita are 5 speakers. The number
of ways in which Seema will always speak before Bharati shall be -
(A) 24
(B) 4! x 2!
(C) 5!
(D) 12
28. A team of 3 persons is to be constituted from a group of 2 men and 3
women. In how many ways can this be done if these teams would consist
of 1 man and 2 women?
(A) 10
(C) 16
(B) 6
(D) 8
29. Find the sum of n terms of the A.P., whose nth term is 5n + 1
n
(A)
2
2n
(B)
7
n(7 + 5n)
(C)
2
n(7 + 4n)
(D)
2
21
30. The sum of first three terms of a G.P. is and their product is 27. Which
2
of the following is not a term of the G.P., if the numbers are positive?

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FOUNDATION EXAMINATION: MAY 2025

(A) 3
2
m
(B)

c. o
3
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(C)
3
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em
2
la
l a s
(D) 6
a g
a31.g Insert 4 numbers between 2 and 22 such that the resulting sequence is an
Arithmetic Progression (A.P.).
(A) 4, 8, 12, 16
(B) 5, 9, 13, 17
(C) 4, 10, 15, 19
(D) 6, 10, 14, 18

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1 1
32. Find the sum of series 1 + + + ......... upto 6 terms.

em
2 4
63
l a s
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(A)

a
32
32
(B)
63
26
(C)
53
53
(D)

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26

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33. Which of the following relations is transitive but not reflexive for the set S
.co
c. o = {3, 4, 6}?
se
m
s em (A) R = {(3, 4), (4, 6), (3, 6)}
g la
gla (B) R = {(1, 2), (1, 3), (1, 4)} a
a (C) R = {(3, 3), (4, 4), (6, 6)}
(D) R = {(3, 4), (4, 3)}

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QUANTITATIVE APTITUDE

34. If A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6} the value of A – {B ∪ C}
is -
(A) {1, 2, 3}
(B) {2, 3, 4, 5}
(C) {1}
(D) {0}
35. The range of the function f(x) = 3x - 2 is
(A) (−∞, ∞)

(B) R - {3}
(C) (−∞, 0)

(D) (0, −∞)

( x2 - 2x - 8 )
36. Find the value of lim
x→4 (x - 4)
(A) 0
(B) 2
(C) 8
(D) 6
4
37. Evaluate: ∫ (3x - 2 ) dx
2
2

(A) 104
(C) 10
(B) 100
(D) 52
38. Determine f(x), given that f' (x) = 12x2 - 4x and f(- 3) = 17
(A) f(x) = 4x3 - 2x2 + 143
(B) f(x) = 6x2- x4+ 137

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FOUNDATION EXAMINATION: MAY 2025

(C) f(x) = 3x4 – x3 - 137
(D) f(x) = 4x3 - 2x2-143
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39. Find
dy
o
where
m
e t + e-t
and
e t - e-t
c. o
.c
dx ' 2 2
e m
(A) em la s
s g
y

l a a
ag (B) x
x

y

et
(C)
e-t
1
(D)
et

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40. What is the differential function of (x 2 + 2) ?

(A)
s em
a
x (x 2 + 2)dx

g l
a
x
(B) dx
x 2 +2
x
(C) dx
x 2 -2
x
(D) − dx
2
x +2

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41. Identify the next number in the following series: 2, 8, 26, 62, 122, 212, _______

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(A) 332

em
(B) 338
la se
las (C) 356
a g
ag (D) 362
42. Find the missing number in the given series: 4, 18 ______, 100, 180, 294, 448
(A) 48
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QUANTITATIVE APTITUDE

(B) 52
(C) 56
(D) 64
43. Find the odd man out from the following:
445, 221, 109, 46, 25, 11, 4
(A) 25
(B) 46
(C) 109
(D) 221
44. In a certain code "CH4IR" is written as "GL8MV". How is "1N5T4GR4M" is
written in that code?
(A) 4HFID8E8N
(B) 4P8W7JU8O
(C) 5R9X8KV8Q
(D) 5KF2E4GR4
45. A certain code "564" means "all the best", "736" means "best of luck" and
"423" means "all is luck". Which of the following is the code for "luck"?
(A) 6
(B) 4
(C) 3
(D) 7
46. A man is facing North-West. He turns 90° in the clockwise direction, then
180° in the anticlockwise direction and then another 90° in the same
direction. Which direction is he facing now?
(A) South
(B) South-West
(C) South-East

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FOUNDATION EXAMINATION: MAY 2025

(D) East
47. Rajni walked 20 m towards the North. Then she turned right and walks 30 m.
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Then she turns right and walks 35 m. Then she turns left and walks 15 m.
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Finally she turns left and walks 15 m. In which direction and how many
.
meters is she from the starting position?
m s e
a s e
(A) 15 m West
g la
l a
ag (C) 30 m West
(B) 30 m East

(D) 45 m East
48. At a crossing, there was a direction pole, which was showing all the four
correct directions. But due to the wind, it turns in such a manner that now
West pointer is showing South. Harish went in the wrong direction thinking
that he was travelling East. In which direction he was actually travelling?
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(A) South

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(B) North

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g
(C) West
(D) East a
49. Two cars start from the opposite places on a highway, 150 km apart. First car
runs for 25 km and takes a right turn and then runs 15 km. It then turns left
and then runs for another 25 km and then takes the direction back to reach
the main road. In the meantime, due to minor break down the other car has
run only 35 km along the main road. What would be the distance between
two cars at this point?

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(A) 65 km.
m (B) 75 km. .
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em l a
s
(C) 80 km.

la a g
g
(D) 85 km.
a 50. Some boys are sitting in three rows all facing North such that A is in the
middle row. P is just to the right of A but in the same row. Q is just behind of
P, while R is in the North of A. In which direction of R is Q?

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QUANTITATIVE APTITUDE

(A) South
(B) South-West
(C) North-East
(D) South-East
51. Seven persons namely H, I, J, K, M, N, O are sitting in a straight line facing
North direction. Total three number of persons are sitting between H and N.
Both N and H sits at extreme sides. Total two number of persons sit between
H and O. M is not an immediate neighbour of H or N. I sits third to the right
of M. I and H both are not an immediate neighbours. M is also not an
immediate neighbour of J. Who is sitting between H and M?
(A) J
(B) O
(C) I
(D) K
52. A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next
to D, D is not sitting with E who is on the left end of the bench. C is on the
second position from the right. A is to the right of B and E. A and C are
sitting together. In what position A is sitting?
(A) Between B and D
(B) Between B and C
(C) Between E and D
(D) Between C and E
53. In a class, there are seven students (including boys and girls) A, B, C, D, E, F
and G. They sit on three benches I, II and III, such that at least two students
on each bench and at least one girl on each bench. C who is a girl student,
does not sit with A, E and D. F the boy student sits with only B. A sits on the
bench I with his best friends. G sits on the bench III. E is the brother of C.
Which of the following is the group of girls?
(A) BCG
(B) BFC

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FOUNDATION EXAMINATION: MAY 2025

(C) BCD
(D) CDF
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54. Five boys A, B, C, D and E are sitting in a row. A is to the right of B and E is to
c. o
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the left of B but to the right of C. A is to the left of D. Who is second from the

s e m
m
left end?
e la
l a s
(A) D
a g
ag (B) A
(C) B
(D) E
55. Six friends P, Q, R, S, T and U are sitting around the hexagonal table each at
one corner and are facing the centre of the hexagonal. P is second to the left
of U. Q is neighbour of R and S. T is second to the left of S. Which one is

m
sitting opposite to P?
(A) R
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(B) Q
s em
(C) T
g l a
(D) S a
56. If "A # B" means A is father of B, "A*B" means A is brother of B, "A @ B"
means A is mother of B, then which of the following is correct about G@T#P?
(A) G is mother of P.
(B) P is father of T.

m
(C) T is son of G.

m c o
c. o 57. Pointing to a photograph, Rajesh said, "He is Aarav and he issethem.son of the
(D) P is brother of T.

s em only daughter of the father of my brother", how Rajeshais related to the
g l
l a a
ag
Aarav referred in the photograph?
(A) Nephew
(B) Brother

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QUANTITATIVE APTITUDE

(C) Father
(D) Maternal Uncle
58. Study the following information carefully:
• A3P means A is the mother of P.
• A4P means A is the brother of P.
• A9P means A is the husband of P.
• A5P means A is the daughter of P.
Which of the following means that K is the mother-in-law of M?
(A) M9N3K4J
(B) M9N5K3J
(C) K5J9M3N
(D) K3J9N4M
59. Q, W, E, R, T and Y are members of a family consisting of two children, one of
whom is T is a boy. Q and R are brothers and Q is an engineer. E is a doctor
married to one of the brothers. W is married to R, and Y is their only child.
How T is related to Q?
(A) Father
(B) Brother
(C) Nephew
(D) Son
60. K is the son of A's mother's sister. Q is daughter of D, who is the father of G
and grandfather of A. P is the daughter of H, who is grandmother of K. D is
husband of H and G is husband of L. How is P related to Q?
(A) Mother
(B) Sister
(C) Daughter
(D) Cousin

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FOUNDATION EXAMINATION: MAY 2025

61. The mode of a continuous frequency distribution can be determined
graphically from

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(A) By using Histogram

o m m
.c
(B) By using frequency polygon

s e
e
(C) By musing ogive
l a
l a s a g
a62.g Frequency density corresponding to a class interval for the continuous
(D) By using frequency curve

frequency distribution, is the ratio of
(A) class frequency to the total frequency
(B) class frequency to the class length
(C) class length to the class frequency
(D) class frequency to the cumulative frequency
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63. The curve obtained by joining the points, whose X co-ordinates are the

em
upper limits of the class intervals and Y co-ordinates are corresponding
cumulative frequencies, is called
l a s
(A) Ogive
a g
(B) Histogram
(C) Frequency polygon
(D) Frequency curve
64. The following data relate to the wages of a group of workers:

Wages (in `) Below 100 Below 200 Below 300 Below 400
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No. of workers: 15 38 65 90
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How many workers got wages more than 300?

em (A) 25
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(B) 65

a (C) 90
(D) 27

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QUANTITATIVE APTITUDE

65. The law of statistical regularity says that
(A) Sample drawn from the population under discussion possesses the
characteristics of population.
(B) A large sample drawn at random from the population would possess
the characteristics of the population.
(C) A large sample drawn at random from the population would possess
the characteristics of the population on an average.
(D) An optimum level of efficiency can be attained at a minimum cost.
66. A population comprises 5 members. The number of possible samples of size
2, that can be drawn from it with replacement is
(A) 100
(B) 15
(C) 125
(D) 25
67. Which of the following statements about simple random sampling is NOT
true?
(A) Simple random sampling ensures that each unit in the population has
an equal chance of being selected.
(B) In simple random sampling with replacement, each selected unit is
replaced to the population before the next unit is drawn.
(C) Simple random sampling is highly effective when the population is
very large and heterogeneous.
(D) In a simple random sampling without replacement, a unit is selected,
it will never be selected again.
68. A frequency curve which starts with a minimum frequency and then
gradually reaches its maximum frequency at the other extremity is known as
(A) Bell shaped curve
(B) Mixed curve
(C) U-shaped curve

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FOUNDATION EXAMINATION: MAY 2025

(D) J-shaped curve
69. In tabulation, source of data, if any, is shown in the
m
(A) Footnote
m c. o
(C) Stub
c. o s e m
m
(B) eBody
l a
l a s a g
a70.g A helicopter flies from A to B at the rate of 500 km/hr. and comes back at the
(D) Caption

rate 700 km/hr. The average speed of the helicopter is
(A) 600 km/hr.
(B) 583.33 km/hr.

(C) 100 35 km/hr.
(D) 620 km/hr.
m
. co
em
71. If Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of two numbers are

s
6.50 and 6 respectively, then the two numbers are
(A) 6 and 7
g l a
(B) 9 and 4 a
(C) 10 and 3
(D) 8 and 5
72. Which of the following is not a method of dispersion?
(A) Standard deviation

m
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(B) Mean deviation

m .
c. o m
(C) Range

em (D) Concurrent deviation method
l a se
las a g
73. Find out co-efficient of variation, if N = 14, Σfx = 280 and σ(S.D.) = 3.

ag (A) 20
(B) 15
(C) 4.67
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QUANTITATIVE APTITUDE

(D) Zero
74. The monthly profit/loss for six months of the firm is as under:

Months January February March April May June
Profit/loss (in `): 1,000 900 0 -200 -400 2,000
The co-efficient range of the above data is
(A) 122
(B) 150
(C) 33.33
(D) 55.55
75. Which one of the following is the absolute measure of dispersion for open
ended distributions?
(A) Range
(B) Standard deviation
(C) Mean deviation
(D) Quartile deviation
76. If the mean of the following frequency distribution is 2.6, then the value
of Y is

Marks (X) 1 2 3 4 5
No. of Students (f) 8 10 Y 2 4

(A) 16
(B) 6
(C) 26
(D) 12
77. Which one of the following measures of central tendency is based on only
fifty percent (50%) of the central values?
(A) Geometric Mean
(B) Harmonic Mean

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(C) Median
(D) Mode
m
m
78. The Arithmetic Mean (A.M.) and mode of the data are 32 and 26, respectively,
o c. o
.c
then find the median of the data.
e m
e
(A) 30 m la s
l a s a g
ag (C) 6
(B) 12

(D) 29
79. Find out the mode from the following data: 100, 110, 125, 225, 325, 125, 90,
80, 455, 375, 125
(A) 325
(B) 110
m
(C) 455
. co
(D) 125
s em
g l a
80. Two dice are thrown simultaneously. Find the probability that the sum of
a
digits on the two dice would be 8 or more.
5
(A)
18
5
(B)
12
5
(C)
m
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36

m .
c. o m
8

se
(D)

em
20

s g l a the probability
la
81. A number is selected from the first 20 natural numbers. Find

g that it would be divisible by 3 or 7. a
a (A)
7
20

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QUANTITATIVE APTITUDE

12
(B)
37
24
(C)
67
8
(D)
20
82. A father had three sons namely, Kailash, Harish and Prakash. All are above 65
years in age. Prakash happens to be the eldest while Kailash as youngest. As
per the health history, it is estimated that the probability that Kailash survives
4 3
another 5 years is Harish survives another 5 years is and Prakash
5 5
1
survives another 5 years is The probabilities that Kailash and Harish survive
2
another 5 years is 0.46, Harish and Prakash survive another 5 years is 0.32
and Kailash and Prakash survive another 5 years is 0.48. The probability that
all three sons survive another 5 years is 0.26. What shall be the probability
that at least one of them survives another 5 years?
(A) 0.78
(B) 0.72
7
(C)
10
9
(D)
10
83. In a class, there are 15 boys and 10 girls. Three students are selected at
random. The probability that 1 girl and 2 boys are selected is
21
(A)
46
25
(B)
17
1
(C)
50

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FOUNDATION EXAMINATION: MAY 2025

3
(D)
25

m
c. o
84. Two cards are drawn from a pack of 52 cards. The probability that one is a

o m m
3 .c
spade and one is a heart; is

(A) m s e
a s e20 g la
g l(B) 29 a
a 34
47
(C)
100
13
(D)
102

m
85. A problem is given to 5 students P, Q, R, S and T. If the probability of solving

. co
1 1 2 1 1
the problem individually is , , , and probability that the problem is
m the
solved. and 1/6 respectively, thenefind
2 3 3 5 6

la s
(A) 0.47
a g
(B) 0.93
(C) 0.57
(D) 0.27
86. In a leap year, what is the probability that there will be 53 Sundays?
53
(A)
m
co
365

m .
c. o m
1

se
(B)

em la
7

las (C)
3
a g
ag 7
2
(D)
7

84

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QUANTITATIVE APTITUDE

87. Poisson probability distribution is appropriately applied in
(A) The height of students in the university.
(B) The distribution of passing of students in university examinations.
(C) Tossing of a coin hundred times.
(D) Number of deaths by a rare disease.
88. If the points of inflexion of a normal curve are 6 and 14, then standard
deviation of the distribution is
(A) 4
(B) 8
(C) 9.17
(D) 32
89. What is the probability of making 3 corrected guesses in 5 True-False answer
type questions?
(A) 0.3125
(B) 0.4156
(C) 1.3888
(D) 0.5235
90. If 5% of the families in large population city do not use gas as a fuel, what
will be the probability of selecting 10 families in a random sample of 100
families who do not use gas as a fuel?
[Given that e-5=0.0067]
(A) 0.038
(B) Zero
(C) 0.018
(D) 0.048
91. The correlation co-efficient between X and Y is 0.8. If we add a number 10 in
the X variable and subtracted 20 from Y variable, then the new correlation
co-efficient will be -

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FOUNDATION EXAMINATION: MAY 2025

(A) 0.4
(B) 0.6
m
(C) 0.9
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c. o e m
mboth the regression co-efficients are b = 0.7 and b = 0.8, las
(D) 0.8

s
92. When e g
a a
xy yx

l
ag (A) 0.75
respectively, then correlation co-efficient between x and y is

(B) 0.56
(C) 0.28
(D) 0.87
93. For 9 college students group, the sum of squares of differences in ranks for
History and Hindi marks was found to be 62, then what is the value of rank
m
co
correlation co-efficient?
.
em
(A) 1
(B) 0.48
l a s
(C) 0.52
a g
(D) 0.87
94. If r = 0.7 then co-efficient of non-determination is
(A) 0.49
(B) 0.51
(C) Zero

o m
m (D) 0.71
.c
c. o 95. Given x = 2y + 4 and y = kx + 6 are the two lines of regression e m
on x respectively. If the value of correlation co-efficient (r) sis 0.5, then the
x on y and y

em l a
l as value of k is
a g
ag (A)
1
8

86

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QUANTITATIVE APTITUDE

1
(B)
4
1
(0)
3
1
(D)
2
96. If ∑ P q = 249, ∑ P q = 150, ∑ P q = 145 and Paasche's Index Number =
n n 0 0 n 0

150, then Fisher's Ideal Price Index Number is
(A) 75
(B) 126.9
(C) 120.62
(D) 171
97. From the following data, find out an Index number for 2022 taking 2021 as
base (using simple aggregative method):

Commodities Price in 2021 Price in 2022
A 80 120
B 220 200
C 300 400

(A) 100
(B) 120
(C) 108
(D) 190
98. From the following chain base index numbers based on 2015, find out new
chain base index number for the year 2022 by shifting the base year 2019.

Years: 2015 2016 2017 2018 2019 2020 2021 2022
Index No: 100 105 95 85 120 110 130 150
(Base 2015)

(A) 125
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FOUNDATION EXAMINATION: MAY 2025

(B) 180
(C) 100
m
(D) 150
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99. The prices of a commodity in the years 2015 and 2020 were 50 and 60
s e m
em la
s g
respectively. Price relative of 2015 on 2020 is
a
l(A) 100 a
ag (B) 110
(C) 83.33
(D) 120
100. Chain Index is equal to
link relative of current year × chain index of current year
(A)
100
o m
. c
m
link relative of previous year × chain index of current year
e
(B)
s
100
la × chain index of previous year
(C) g
a 100
link relative of current year

link relative of previous year × chain index of previous year
(D)
100

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c. o se
m
s em g la
gla a
a

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QUANTITATIVE APTITUDE

ANSWER

MCQ Correct MCQ Correct MCQ Correct MCQ Correct
Option Option Option Option
1. (B) 26. (C) 51. (D) 76. (A)
2. (B) 27. (A) 52. (B) 77. (C)
3. (B) 28. (B) 53. (C) 78. (A)
4. (D) 29. (C) 54. (D) 79. (D)
5. (C) 30. (B) 55. (D) 80. (B)
6. (D) 31. (D) 56. (C) 81. (D)
7. (C) 32. (A) 57. (D) 82. (D)
8. (C) 33. (A) 58. (B) 83. (A)
9. (A) 34. (C) 59. (D) 84. (D)
10. (D) 35. (A) 60. (B) 85. (B)
11. (C) 36. (D) 61. (A) 86. (D)
12. (C) 37. (A) 62. (B) 87. (D)
13. (D) 38. (A) 63. (A) 88. (A)
14. (B) 39. (B) 64. (A) 89. (A)
15. (A) 40. (B) 65. (C) 90. (C)
16. (C) 41. (B) 66. (D) 91. (D)
17. (B) 42. (A) 67. (C) 92. (A)
18. (C) 43. (B) 68. (D) 93. (B)
19. (B) 44. (C) 69. (A) 94. (B)
20. (A) 45. (C) 70. (B) 95. (A)
21. (C) 46. (C) 71. (B) 96. (C)
22. (A) 47. (D) 72. (D) 97. (B)
23. (D) 48. (B) 73. (B) 98. (A)
24. (D) 49. (A) 74. (B) 99. (C)
25. (D) 50. (D) 75. (D) 100. (C)

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