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FOR CA FOUNDATION EXAM PREPARATION
CA Foundation 2026
Suggested Answers ·
Paper 3 Quantitative
Aptitude
EXAM YEAR TYPE
CA Foundation 2026 Suggested Answers
SUBJECT DATE
Paper 3 Quantitative Aptitude January 2026
Notes · Sample Papers · Previous Year Papers · Mock Tests
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PAPER – 3: QUANTITATIVE APTITUDE
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m c. o
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All Question are compulsory.
. e m
m s
Time: 2 Hours Marks: 100
a s e g la
a
x+y 13
1.
l If 2x + 3y = 34 and , find the value of 7x + 5y.
ag (A) 45
=
y 8
(B) 53
(C) 75
(D) 35
5 - 2x x
− 5 is
m
2. The solution of the inequality ≤
co
3 6
.
em
(A) x≥8
(B) x≤8
l a s
(C) x≥6
a g
(D) x≤6
3. The value of is 5 + 5 + 5 + 5 + ........∞ is
(A) 0
1+ 21
(B)
m
co
2
m .
c. o m
(C) 1
em -1+ 21
la se
las (D)
2
a g
ag 4. Solve the system and
5 - 2x
≤
x
- 5 and
x+4
≤ 6.
4 8 3
(A) x ≤ 10
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FOUNDATION EXAMINATION: JANUARY 2026
(B) x≥8
(C) 10 ≤ x ≤ 14
(D) x ≥ 14
5. If a sum double itself in 8 years, then in how many years it will becomes
four times, assuming that the simple interest is calculated.
(A) 16 years
(B) 12 years
(C) 24 years
(D) 20 years
6. Mr. XYZ is investing a certain amount at the end of each month in his
account. He is supposed to get interest 12% per annum compounded
monthly. If the future value of this annuity after the 10th payment is
` 50,000, then amount invested by Mr. XYZ in each month will be? Given
(1.01)10 = 1.104622
(A) ` 4,779
(B) ` 4,735
(C) ` 4,375
(D) ` 4,977
7. If an amount is compounded annually so that it tripled itself in 4 years,
1
then the annual rate of interest is (Given that 3 4 = 1.316)
(A) 13.6%
(B) 31.1%
(C) 31.6%
(D) 11.3%
8. Bank B provides loans at 15% per annum compound interest. If Mr. XYZ
borrowed ` 3,200 for 2 years from Bank B, then how much interest must
Mr. XYZ pay to his bank?
(A) ` 400
2
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QUANTITATIVE APTITUDE
(B) ` 960
(C) ` 4,232
m
(D) ` 1,032
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9.
.co
An investor intends to purchase a three years bond at a price of
s e m
e m
` 907.125 having nominal interest rate of 10%. What is the par value of
la
l a s
the bond if it matures at par and the investor requires returns at the rate
a g
ag (A) ` 1,200
of 14%?
(B) ` 1,100
(C) ` 900
(D) ` 1,000
10. A sinking fund is created for replacement of machine at the end of 20
m
years. Its present cost is ` 8,00,000. After 20 years cost of new machine
. co
would be ` 10,00,000, How much provision need to be made out of the
em
profit each year provided sinking fund investments can earn interest at
a s
the rate of 7% pa? The scrap value of the machine at the end of 20 years
l
g
would be ` 2,00,000. Given 1.0720= 3.8697.
(A) ` 15,514 a
(B) ` 13,514
(C) ` 19,514
(D) ` 17,514
11. The net asset value (NAV) of a Mutual Fund is calculated at the end of
the financial year. For the last five years following values are computed.
o m
m
Year 2021 2022
120 .
c 2023
2025 2024
c. o Calculate the Compounded Annual Growth Rate of NAV. se
NAV 100 115 150
m 200
s em g la
gla (A) 16.92%
a
a (B) 18.92%
(C) 20.92%
(D) 22.92%
3
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FOUNDATION EXAMINATION: JANUARY 2026
12. The third term of a geometric progression is 5. Then the product of first
five terms is
(A) 55
(B) 56
(C) 57
(D) 59
1 1 1 1
13. The sum of infinity of the series + + + + …….. is:
2 6 18 54
1
(A)
4
1
(B)
2
3
(C)
4
(D) 1
14. If the arithmetic mean of two numbers is 13 and the geometric mean is
12, then the difference between the two numbers is:
(A) 8
(B) 10
(C) 12
(D) 14
2
1
15. If f(x) = 3ex , then f’(x) – 2xf(x)+ f(0)-f’(0) is equal to
6
(A) 0
(B) -0.5
(C) 0.5
(D) -1
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x3
16. The cost of production of an item is given as C=50x – 5x2 + where 'x'
6
m
c. o
is number of items to be produced. If the average cost and marginal
m
co
cost are equal then, what quantity of items should be produced?
. e m
(A)
m
20
e 15 la s
l a s
(B)
a g
ag (D) 5
(C) 10
17. If A = {2, 3}, B = {4, 5} and C = {5, 6} then the A × (B∩C) is
(A) {(3, 5), (2, 6)}
(B) {(2, 4), (5, 3)}
(C) {(5, 2), (5, 3)}
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c. o
(D) {(2, 5), (3, 5)}
e m x 3
s
18. The cost function of a company is given by C(x) = 600x - 10x + 2
l a 2
agminimum.
where x denotes the output. Find the level of output (in nearest integer)
at which average cost is
(A) x=8
(B) x=9
(C) x = 10
(D) x = 11
m
19. Which of the followings is odd one?
m .co
c. o
(A) CEHL
m
em se
(B) KMPT
s g l a
la
(C) OQTX
g a
a
(D) NPSV
20. Mr. ABC started walking down a road in the evening while facing the
sun. After walking for a distance, he turned to his left, and then he
turned to his right. In which direction is he facing now?
5
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FOUNDATION EXAMINATION: JANUARY 2026
(A) East
(B) West
(C) North
(D) South
21. Find the odd number in the following series: 7, 11, 13, 15, 19, 23, ...
(A) 11
(B) 13
(C) 15
(D) 19
22. A boy is facing East. Turning to the right, he goes 20 m, then turning to
the left he goes 20 m and turning to the right, he goes 20 m, then again
turning to the right, he goes to 40 m and then again he goes 40 m to
the right. In which direction is he from his original position?
(A) North
(B) West
(C) South
(D) East
23. In line, A sits 12th from the left. B is sitting 20th from the right and 5th to
the left of A. How many people are sitting in the line?
(A) 25
(B) 26
(C) 27
(D) 28
24. Eight persons P, Q, R, S, T, U, V, and W are sitting around a circular table
facing the centre. Two persons sit between Q & W. V sits immediate left
of W. Three persons sit between S & T. R sits immediate left of T. U is
not the neighbour of P. One person sits between P & Q. Which of the
following statement is correct?
(A) Q sits to the immediate right of U
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(B) One person sits between P & S
(C) One person sits between S & U
m
(D)
m
Three persons sit between Q & R
c. o
25.
.co
Six friends P, Q, R, S, T and U are sitting around the hexagonal table
s e m
e m
each at one corner and are facing the centre of the hexagonal. P is
la
l a s
second to the left of U. Q is neighbour of R and S. T is second to the left
a g
ag (A) R
of S. Which one is sitting opposite to S?
(B) P
(C) Q
(D) T
26. Five friends P, Q, R, S, and T are sitting in row facing north. S is between
m
T & Q and Q is to the immediate left of R. P is to be the immediate left
. co
of the T. Who is sitting at extreme left end?
em
(A) S
l a s
g
(B) R
(C) Q a
(D) P
27. A market researcher divides a city into 5 regions, where variation within
region is little and there is a maximum variation between regions and
randomly selects 100 households from cach region for a survey. This
sampling method is known as:
m
(A) Cluster Sampling
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c. o
(B) Quota Sampling
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(C) Stratified Sampling
l a se
las (D) Systematic Sampling
g
a as the ratio of
ag 28. Frequency density of a class interval may be defined
(A) the frequency of that class length to the corresponding class
interval
7
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FOUNDATION EXAMINATION: JANUARY 2026
(B) the frequency of that class interval to the corresponding class
length
(C) the frequency of that class frequency to the corresponding class
length
(D) the frequency of that class frequency to the corresponding
cumulative class frequency
29. P, Q, R, S, T, and U are six members of a family. R is spouse of Q. U is
mother of T and S is daughter of U. P's daughter is T and R's son is P.
There are two couples in the family. Which of the following is correct?
(A) T is granddaughter of Q
(B) Q is grandfather of T
(C) R is mother of P
(D) Q is uncle of S
30. During the tabular presentation of data, _________ is the entire upper part
of table which includes columns and sub-column numbers, unit(s) of the
measurement along with caption.
(A) Stub
(B) Box-head
(C) Attribute
(D) Body
31. This type of sampling method depends entirely on the discretion or
judgement of the sampler
(A) Systematic Sampling
(B) Simple Random Sampling
(C) Purposive Sampling
(D) Quota Sampling
32. Which of the following sampling methods is completely free from
sampler's biases
(A) Stratified Sampling
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(B) Random sampling
(C) Multi-stage sampling
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(D)
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Systematic sampling
c. o
33.
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The diagrammatic representation of the cumulative frequency
s e m
m
e Frequency polygon
distribution is:
la
l a s
(A)
a g
ag (B) Ogive
(C) Histogram
(D) Line curve
34. In two groups, unit one has 700 people with monthly salary of ` 2,500,
unit two has 650 with salary of ₹ 2,750 then approximate combined
arithmetic mean with monthly salary (in `) is
m
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(A) 2,620
.
em
(B) 2,520
(C) 2,420
l a s
(D) 2,720
a g
35. If the relationship between x and y is given by 5x - 3y = 15 and if range
of x is given as 24 then the range of y is given by:
(A) 25
(B) 20
(C) 30
m
co
(D) 40
m .
c. o m
36. The two variables 'x' and 'y' are related by 2x - 3y - 3 = 0 If the mode of
se
'x' is 15, then the mode of 'y' is:
s em g la
la
(A) 30
g a
a
(B) 3
(C) 15
(D) 9
9
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FOUNDATION EXAMINATION: JANUARY 2026
37. If mean of 5 observations x + 1, x + 3, x + 5, x + 7 and x + 9 is given as
125, then the value of x will be.
(A) 110
(B) 111
(C) 115
(D) 120
38. If two samples of size 30 and 20 have means as 55 and 60 and standard
deviation 5 and 6 respectively then what would be the standard
deviation of combined sample of size 50?
A) 5.95
(B) 5.90
(C) 5.85
(D) 5.80
39. Find the probability that a 3-digit number formed using the digits 1, 3,
and 5 (without repetition), is divisible by 3?
(A) 1
(B) 0
1
(C)
3
2
(D)
3
40. Ms. Radhika appeared in interview at three different companies. In the
first company there are 5 candidates, in second company there are 12
candidates and in third company there are 15 candidates. What is
probability that Ms. Radhika would be selected?
231
(A)
375
321
(B)
375
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154
(C)
225
m
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71
o
(D)
. c
225
e m
s eMr.m B to solve the same problem is 9:6. What is the probability that if glas
41. The odds in favour of Mr. A to solve a problem is 5:7 and odds against
laboth of them try, the problem will be solved? a
to
ag
117
(A)
180
127
(B)
180
137
(C)
m
180
147
. co
em
(D)
s
180
42.
g l a
If the slope of the regression line is calculated to be 3.5 and the
a
intercept 14 then the value of Y when X is 6 is
(A) 35
(B) 85
(C) 15
(D) 75
43. For the variables x and y, the regression equations are given as
o m
m
x + 2y – 5 = 0
.c
c. o 2x + 3y 8 = 0
s
m
e Compute
s em g l a
and the arithmetic means of x and y are 1 and 2 respectively.
gla the correlation coefficient between x and y.
a
a (A) -0.87
(B) 0
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FOUNDATION EXAMINATION: JANUARY 2026
(C) 0.87
(D) 1
44. A quality control inspector finds that 20% of light bulbs are defective. If
a batch of 5 light bulbs is tested, what is the probability that exactly
1 bulb is defective?
(A) 0.4096
(B) 0.8026
(C) 0.2746
(D) 0.1296
45. If byx =1.6 and bxy = 0.4, then rxy will be:
(A) 0.4
(B) 0.8
(C) 0.64
(D) -0.8
46. The test of shift ability of the base is called?
(A) Unit test
(B) Factor reversal test
(C) Time reversal test
(D) Circular test
47. The property of an index number that allows shifting of the base year
without referring each time to the original base is tested by which of the
following?
(A) Time Reversal Test
(B) Factor Reversal Test
(C) Circular Test
(D) Unit Test
48. Which of the following index does not satisfy the time reversal test?
(A) Edge worth Marshall's index
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(B) Paasche's index
(C) Fisher's Ideal index
m
(D)
m
Bowely's Index
c. o
49. c. o = 192 then the value of x is
If 3 x × b
5 logb X
s e m
e8m la
s
(A)
la(B) 4 a g
ag (C) 2
(D) 2 2
50. In India, an examination is conducted in two sessions. In the first session
the ratio of boys to girls among 455 students is 8: 5. If 50 new girls are
admitted in the second session, how many new boys must be admitted
so that the ratio of girls to boys becomes 3: 4?
m
co
(A) 20
.
em
(B) 30
(C) 40
l a s
(D) 50 a g
51. If α and β are the roots of the equation 2x2 -3x + 1 = 0 then the
equation whose roots are 1/ α and 1/β is:
(A) x2 + 3x + 2 = 0
(B) x2 - 3x + 2 = 0
(C) x2 + 3x - 2 = 0
o m
c
(D) x2 - 3x - 2 = 0
m . ratio of
c. o 52. One m
e age of A (in
year ago, the ratio of ages (in years) of A and B was 5:4. The
s
em a
their ages, 4 years from now, will be 6:5. What will be the
l
las years) after 10 years from now?
a g
ag (A) 36
(B) 18
(C) 19
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FOUNDATION EXAMINATION: JANUARY 2026
(D) 26
( b+ c −a ) ( c +a −b ) ( a +b−c )
xb xc xa
53. Find the value of c × a × b
x x x
(A) xabc
B) 1
(C) 0
(D) -1
54. If ` 80,000 grows to ` x in 3 years at compound interest compounded
annually at 8% rate of interest per annum, then the value of x is:
(A) ` 1,00,776.96
(B) ` 1,02,985.98
(C) ` 1,03,680.64
(D) ` 99,850.50
55. The value of compound interest (in nearest `) if ` 30,00,000 is deposited
in a bank for 1 year at the rate of 16% per annum compounded
quarterly is:
(A) 5,07,575
(B) 5,78,360
(C) 5,09,576
(D) 5,72,540
56. The common region represented by inequalities: 2x + y ≥ 8, x + y ≥ 12,
3x + 2y ≤ 34, x ≥ 0 and y ≥ 0 is
(A) Unbounded
(B) Feasible unbounded
(C) Infeasible bounded
(D) Feasible bounded
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57. The present value (in nearest `) of an annuity of ` 90,000 for 13 years at
5.5% compounded annually is (Given 1.00513 = 2.0058)
m
c. o
(A) 9,99,996
o m m
.c
(B) 8,20,548
m s e
e
(C) 9,69,996
s g l a
l a(D) 7,22,536
a
a58.g Ms. Rina buys a refrigerator worth ` 25,000. She pays ` 5,000 upfront
and agrees to settle the remaining amount through five equal annual
installments. The unpaid balance carries an interest of 18% per annum,
compounded annually. Calculate the approximate value of each annual
installment. Given P(5, 0.18)=3.12717.
(A) ` 6,350
(B) ` 6,395
m
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(C) ` 6,410
em
(D) ` 4,430
l a s
g
59. A sum of money lent at compound interest for 2 years at 20% p.a. would
a
fetch ` 482/- more if the interest was payable half yearly then if it was
payable annually. What is the value of sum deposited?
(A) ` 10,000
(B) ` 15,000
(C) ` 17,500
(D) ` 20,000
m
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60. Mr. Ravi allocates a corpus of ` 50,000 into a term deposit account
m .
c. o
which accrues interest at a nominal annual rate of 10%, compounded on
m
se
a quarterly basis. What will be the effective annual rate of interest?
s em (A) 10%
g la
gla (B) 10.25% a
a (C) 10.38%
(D) 10.50%
15
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FOUNDATION EXAMINATION: JANUARY 2026
61. Shiva invested an amount of ` 12,000 at the rate of 10% pa simple
interest and another amount at the rate of 20% pa simple interest. The
total interest earned at the end of the year on total amount invested
became 14% pa. Find the total amount invested.
(A) ` 18,000
(B) ` 20,000
(C) ` 24,000
(D) ` 26,000
62. If nCr −1 28,
= = n
Cr 56,=
n
Cr +1 70, then the value of n and r are
(A) n = 8, r = 3
(B) n = 8, r = 4
(C) n = 9, r = 4
(D) n = 9, r = 3
63. In a meeting, 5 analysts, 2 consultants, and 3 managers are to be seated
in a row. If members of the same profession must sit together, in how
many ways can they be seated?
(A) 11,232
(B) 8,640
(C) 6,912
(D) 9,504
64. The total numbers greater than 2000 that can be formed with the digits
1, 2, 3, 4, 5 and no digits being repeated in any number are:
(A) 216
(B) 96
(C) 864
(D) 468
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65. How many 3-digit number can be formed from the digits 2, 3, 5, 6, 7 and
9 which are divisible by 5 and none of the digit is repeated?
m
c. o
(A) 18
o m m
.c
(B) 20
m s e
e 24 la
(C) 22
l a s
(D)
a g
g
a66. If f ( x )= 1+ 1 , then the value of f f 1 is
x x
x −2
(A)
x +1
x +2
(B)
x +1
m
(C) 2
. co
(D) -1
s em
x 2 − 25
g l a
67. The function f ( x ) =
x −5 a is undefined at x = 5 what value must be
assigned to f(5) if f(x) is to be continuous at x = 5?
(A) 0
(B) 1
(C) 10
(D) 100
m
m
68. A GP series consists of 2n terms. If the sum of the terms occupying the
.co
c. o m
odd places is S1 and that of the terms in even places is S2, the common
em
ratio of the progression is?
la se
las (A) n
a g
ag (B) 2S1
S2
(C)
S1
17
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FOUNDATION EXAMINATION: JANUARY 2026
S1
(D)
S2
69. Let R is the set of real numbers such that the function f : R → R and
g : R → R are defined by f(x) = x2 + 3x - 1 and g(x) = 2x + 3 then f g( x )
is:
(A) 4x2 + 6x + 1
(B) 4x2 + 18x + 17
(C) 4x2 - 18x + 17
(D) 4x2 - 6x + 1
70 The next term of the series 1, 7, 17, 31, 49, 71, _______ is
(A) 97
(B) 153
(C) 89
(D) 111
71. If in a certain code language PAINT is coded as 74128 and ACCEPT is
coded as 455978, what will be the code for PATIENT?
(A) 7419828
(B) 7481298
(C) 7491828
(D) 7481928
1
72. (
Evaluate the integral ∫ 2x 2 − x 3 dx
0
)
1
(A)
3
4
(B)
3
7
(C)
12
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5
(D)
12
m
c. o
73. If in a certain language, MONKEY is coded as NNOJFX, how is PUZZLE
o m m
c
coded in that language?
m . s e
e QTAYMD la
(A) QTBXMD
a s
l (C) QTAWME
(B)
a g
ag
(D) PTAYMD
74. A man drives 10 km towards north; from there he turns towards right
and drive 3 Km. then he takes right turn and drives 6 km. How far and in
which direction is he with reference to starting point?
(A) 5 km North-east
m
co
(B) 3 km North-east
.
em
(C) 5 km South-east
(D) 3 km South-east
l a s
75.
a g
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 which position B is sitting?
(A) Between E and C
(B) Between E and D
(C) Between E and A
o m
c
(D) Between C and A
m . 8 km
c. o 76. Mr. em
Q walks 20 km north, then walks 14 km south, and then walks
s
em east. How far is he from his starting point?
l a
l as (A) 6 km
a g
ag (B) 8 km
(C) 10 km
(D) 12 km
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FOUNDATION EXAMINATION: JANUARY 2026
77. If west is replaced with north-east then south will be replaced by which
of the following direction?
(A) South-west
(B) North-west
(C) West
(D) East
78. A is the son of C; C and Q are sisters; Z is the mother of Q and P is the
son of Z. Which of the following statements is true?
(A) P is the maternal uncle of A
(B) P and A are cousins
(C) C and P are sisters
(D) Q is maternal grandfather of A
79. 'A+B' means A is the father of B.
'A - B' means A is the wife of B.
'A x B' means A is the brother of B.
‘A/B’ means A is the daughter of B.
If it is given D x E + F, which of the following is true?
(A) D is the father of F
(B) D is the grandfather of F
(C) D is the uncle of F
(D) D is the brother-in-law of F
80. Pointing to a photograph of a boy Suresh said, "He is the son of the only
son of my mother." How is Suresh related to that boy?
(A) Brother
(B) Grandfather
(C) Father
(D) Son
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QUANTITATIVE APTITUDE
81. A and B are sisters, B is the wife of C, D is the son of E, F is the daughter
of B, G is the husband of A, E is the father of B. Who is the brother of B?
m
c. o
(A) C
o m m
(C) E.
c
(B) D
m s e
s e g l a
l a(D) F
a
a82.g According to the _________, if a sample of fairly large size is drawn from
the population under discussion at random, then on an average the
sample would possess the characteristics of that population.
(A) Principle of Inertia
(B) Principle of Optimization
(C) Law of Statistical Regularity
m
co
(D) Principle of Validity
.
em
83. On _______, the frequency, starting from a rather low value, gradually
s
reaches the maximum value, somewhere near the central part and then
l a
ag
gradually decreases to reach its lowest value at the other extremity.
(A) Bell-shaped curve
(B) U-shaped curve
(C) J-shaped curve
(D) Mixed curve
84. In the Stratified Sampling, When the strata-variances differ significantly
among themselves, we take recourse to "Neyman's allocation" where:
m
co
(A) Sample size is proportional to the population size
m .
c. o (B) Sample size is proportional to the sample SD
(C) Sample size is proportional to the sample variance s
em
s em gla
gla (D) Population size is proportional to the sampleavariance
a 85. If arithmetic mean of two numbers is 64 and harmonic mean is 16 then
geometric mean is
(A) 64
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FOUNDATION EXAMINATION: JANUARY 2026
(B) 16
(C) 32
(D) 8
86. In continuous frequency distribution, the median of the data is 32. If
each observation is increased by 7, then the new median will be:
(A) 39
(B) 32
(C) 25
(D) 35
87. If mean is 21 and median is 25 then value of mode is
(A) 33
(B) 25
(C) 31
(D) 21
88. Calculate the coefficient of quartile deviation for 11, 55, 65, 22, 33, 98,
88,
(A) 6
(B) 166.6
(C) 60
(D) 0.6
89. If two variables 'x' and 'y' are related to 3x + 4y - 7 = 0 and mean &
mean deviation about mean of 'x' are 1.2 and 0.4 respectively then the
coefficient of mean deviation of 'y' about its mean is?
(A) 34.3
(B) 32.3
(C) 35.3
(D) 36.3
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QUANTITATIVE APTITUDE
90. If in a class, 50% of the student study mathematics and science and 70%
of the student study mathematics, then the probability of a student
studying science given that he/she is already studying mathematics is
m
m c. o
co
3
(A)
. e m
m
e 6
7
la s
l a s a g
ag
(B)
7
4
(C)
7
5
(D)
7
91. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at
m
random. What is the probability that the ticket drawn has a number
. co
which is a multiple of 3 or 5?
9
s em
a
(A)
20
g l
(B)
1 a
2
2
(C)
5
8
(D)
15
m
co
92. If two dice are rolled, then the probability of getting a greater number
m .
c. o m
on the first die than the one on the second, given that the sum should
em
be equal to 7 is
la se
las 1
a g
g
(A)
a
2
1
(B)
6
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FOUNDATION EXAMINATION: JANUARY 2026
1
(C)
3
2
(D)
3
93. For a binomial distribution, if the mean is 10 and the standard deviation
is 3, find n. (number of trials)
(A) 30
(B) 90
(C) 15
(D) 100
94. If a binomial distribution has n = 25 and p = 0.2 what is its mean?
(A) 5
(B) 4
(C) 25
(D) 2
95. If X is a Poisson variate such that P(X = 1) = 0.3 P(X = 2) = 0.2 then
P(X = 0) =
4
(A) e3
−1
(B) e3
−4
(C) e 3
−2
(D) e3
96. If the first quartile (Q1) and third quartile (Q3) of a normal distribution
are 22 and 28, what is the median of the distribution?
(A) 22
(B) 25
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QUANTITATIVE APTITUDE
(C) 30
(D) 28
m
97.
m
The coefficient of rank correlation in a beauty contest of 10 candidates
c. o
.co m
by two judges A & B was found to be 0.5. If it was later discovered that
m s e
la
the difference in rank of one candidate was wrongly taken as 3 instead
s e
of 7. The corrected coefficient of rank correlation is ?
g
a
l (A) 0.26 a
ag (B) 0.32
(C) 0.49
(D) 0.93
98. Fisher's Ideal Price Index is defined as the ________ Index and the
Paasche's Index. of the Laspeyres'.
m
(A) Harmonic Mean
(B) Geometric Mean
. co
(C) Arithmetic Mean
s em
(D) Simple Mean
g l a
99. a
The coefficient of correlation between 'x' and 'y' is 0.6. If 'u' & 'v'
variables are defined as 2u-x+3 = 0 and 3v+y-2 = 0 then the coefficient
of correlation between 'u' & 'v' is?
(A) 0.6
(B) -0.6
(C) 0.58
o m
c
(D) -0.58
m .
c. o 100. (A) em
Which index number method uses current year quantities as weights?
s
em l a
s
Fisher's Ideal Price Index
l a a g
ag
(B) Marshall Edge Worth Index Number
(C) Laspeyres' Index
(D) Paasche's index
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FOUNDATION EXAMINATION: JANUARY 2026
Answer Key
1. (C) 21 (C) 41 (A) 61 (B) 81 (B)
2. (A) 22 (B) 42 (A) 62 (A) 82 (C)
3. (B) 23 (B) 43 (A) 63 (B) 83 (A)
4. (C) 24 (C) 44 (A) 64 (A) 84 (A)
5. (C) 25 (B) 45 (B) 65 (B) 85 (C)
6. (A) 26 (D) 46 (D) 66 (B) 86 (A)
7. (C) 27 (C) 47 (C) 67 (C) 87 (A)
8. (D) 28 (B) 48 (B) & (D 68 (C) 88 (C)
9. (D) 29 (A) 49 (C) 69 (B) 89 (C)
10. (C) 30 (B) 50 (A) 70 (A) 90 (D)
11. (B) 31 (C) 51 (B) 71 (D) 91 (A)
12. (A) 32 (B) 52 (A) 72 (D) 92 (A)
13. (C) 33 (B) 53 (B) 73 (B) 93 (D)
14. (B) 34 (A) 54 (A) 74 (A) 94 (A)
15. (C) 35 (D) 55 (C) 75 (C) 95 (C)
16. (B) 36 (D) 56 (D) 76 (C) 96 (B)
17. (D) 37 (D) 57 (B) 77 (B) 97 (A)
18. (C) 38 (A) 58 (B) 78 (A) 98 (B)
19. (D) 39 (A) 59 (D) 79 (C) 99 (B)
20 (B) 40 (D) 60 (C) 80 (C) 100 (D)
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