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Objective Questions

Latest CDS Exam Question (Objective Questions), MCQ in English

Subjects : Elementary Mathematics

Question Bank UPSC CDS I (For INA, IMA, and AFA ) Paper-III Exam - English

Elementary Mathematics

Question 1Single Answer

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?

A
51:52
B
52:53
C
51:53
D
52:55

Question 2Single Answer

Which of the following numbers is irrational ?

A
√49
B
0.125
C
√2
D
22/7

Question 3Single Answer

356 x 936 – 356 x 836 = ?

A
35600
B
34500
C
9630
D
93600

Question 4Single Answer

Arrange in descending order: 5/8, 7/10, 3/4

A
3/4 > 7/10 > 5/8
B
7/10 > 3/4 > 5/8
C
3/4 > 5/8 > 7/10
D
5/8 > 7/10 > 3/4

Question 5Single Answer

What is (3^{^}{4} times 9^{^}{2}) ?

A
3⁶
B
3⁸
C
3¹⁰
D
9⁶

Question 6Single Answer

If 3⁴X^-2 = 729, then find the value of X.

Question 7Single Answer

Convert 0.6 into fraction ?

A
3/5
B
2/3
C
4/5

Question 8Single Answer

The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate numbers were reversed. The bus company had only five hundred buses numbered from 1 to 500. What was the number ?

A
169
B
36
C
196
D
Can not say

Question 9Single Answer

If a and b are positive integers, such that ab = 125, then (a-b)^a+b-4= ?

A
16
B
25
C
28
D
30

Question 10Single Answer

If x^*y = x² + y² – xy, then value of 9^*11 is

A
93
B
103
C
60.5
D
121

Question 11Single Answer

Which is greater ?

A
15/16
B
17/18
C
Equal
D
Cannot compare

Question 12Single Answer

If sum of two numbers is 42 and their product is 437, then find their difference.

Question 13Single Answer

Write the 44000 in Roman numerals

A
XLI
B
XLVI
C
XLIV
D
XLVIC

Question 14Single Answer

Convert 0.0909… into fraction ?

A
1/11
B
9/11
C
1/9
D
9/10

Question 15Single Answer

What is (98 times 102) ?

A
9996
B
10000
C
10096
D
10196

Question 16Single Answer

Which is smaller ?

A
9/11
B
7/9
C
Equal
D
Cannot compare

Question 17Single Answer

Convert 0.5777… into fraction ?

A
26/45
B
52/90
C
13/22
D
5/9

Question 18Single Answer

Convert 0.81 into fraction ?

A
81/100
B
9/10
C
8/9
D
9/11

Question 19Single Answer

(63)² – (12)² =?

A
3528
B
3852
C
3582
D
3825

Question 20Single Answer

Which is greater ?

A
13/17
B
11/14
C
Equal
D
Cannot compare

Question 21Single Answer

16.928 + 24.7582

5.015 =?

A
20
B
24
C
22
D
26

Question 22Single Answer

Convert 0.75 into fraction ?

A
3/4
B
2/3
C
4/5
D
5/8

Question 23Single Answer

Which is greater ?

A
11/13
B
12/15
C
Equal
D
Cannot compare

Question 24Single Answer

Two numbers are co-prime if their HCF is ?

A
0
B
1
C
Same
D
Prime

Question 25Single Answer

Product of all factors of 10 is ?

A
10
B
100
C
1000
D
10000

Question 26Single Answer

How many real numbers exist between 2 and 3 ?

A
1
B
10
C
Infinite
D
None

Question 27Single Answer

Which number is divisible by 11 ?

A
12345
B
1331
C
1234
D
1213

Question 28Single Answer

What is the unit digit of (7^{245}) ?

Question 29Single Answer

What is (64^{^}{2/3}) ?

A
4
B
8
C
16
D
32

Question 30Single Answer

What is (125^{^}{1/3}) ?

Question 31Single Answer

Which of the following is composite ?

A
17
B
19
C
21
D
23

Question 32Single Answer

What is √0.0009 ?

A
0.003
B
0.03
C
0.3
D
0.09

Question 33Single Answer

What is √1156 ?

A
32
B
34
C
36
D
38

Question 34Single Answer

What is √2025 ?

A
35
B
40
C
45
D
50

Question 35Single Answer

What is (51^{^}2) ?

A
2601
B
2501
C
2551
D
2651

Question 36Single Answer

7 8 18 57 ?

A
244
B
174
C
186
D
none of these

Question 37Single Answer

Last year my age was a perfect square number. Next year it will be a cubic number. What is my Present age ?

A
25 years
B
27 years
C
26 years
D
24 years

Question 38Single Answer

If a + b = 5, a²+ b² = 13, the value of a – b (where a > b) is

A
2
B
-1
C
1
D
-2

Question 39Single Answer

How many factors does 100 have ?

Question 40Single Answer

If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x³ + y³ + z³ – 3xyz will be

A
a + b + c
B
Zero
C
4 (a + b + c)
D
3 abc

Question 41Single Answer

Which number is divisible by 13 ?

A
819
B
845
C
871
D
899

Question 42Single Answer

A number leaves remainder 3 when divided by 5. What remainder when divided by 10 ?

A
3 or 8
B
3
C
8
D
Cannot determine

Question 43Single Answer

What is the unit digit of (9^{^}{101}) ?

Question 44Single Answer

How many prime numbers are between 10 and 20 ?

Question 45Single Answer

Which of the following pair is co-prime ?

A
8 and 12
B
9 and 15
C
14 and 25
D
21 and 35

Question 46Single Answer

(43)²+ 841 = (?)²+ 1465

A
41
B
35
C
38
D
33

Question 47Single Answer

269 – 122 – 33 = X * 2

A
51
B
41
C
21
D
49

Question 48Single Answer

What is the remainder when 2¹⁰⁰ is divided by 3 ?

Question 49Single Answer

Which of the following is composite ?

A
17
B
19
C
21
D
23

Question 50Single Answer

Product of all factors of 10 is ?

A
10
B
100
C
1000
D
10000

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Elementary Mathematics

Question 51Single Answer

Sum of factors of 12 is ?

A
16
B
24
C
28
D
32

Question 52Single Answer

Convert 0.81 into fraction ?

A
81/100
B
9/10
C
8/9
D
9/11

Question 53Single Answer

Which of the following numbers is irrational ?

A
√49
B
0.125
C
√2
D
22/7

Question 54Single Answer

The last three-digits of the multiplication 12345 x 54321will be

A
865
B
745
C
845
D
945

Question 55Single Answer

What is the remainder when 17³ is divided by 5 ?

Question 56Single Answer

If a number is divisible by both 8 and 9, then it must be divisible by ?

A
17
B
72
C
81
D
18

Question 57Single Answer

What is the area of a triangle with base 5 meters and height 10 meters ?

A
20 square meters
B
35 square meters
C
25 square meters
D
40 square meters

Question 58Single Answer

How many factors does 36 have ?

Question 59Single Answer

Convert 0.04 into fraction ?

A
1/20
B
1/25
C
1/40
D
1/50

Question 60Single Answer

What is the average of first five multiples of 12 ?

A
36
B
38
C
40
D
42

Question 61Single Answer

Convert 0.04 into fraction ?

A
1/20
B
1/25
C
1/40
D
1/50

Question 62Single Answer

Which is greater ?

A
7/9
B
4500
C
4500
D
4900

Question 63Single Answer

Convert 0.125 into fraction ?

A
1/4
B
1/5
C
1/8
D
3/8

Question 64Single Answer

Convert 0.666… into fraction ?

A
1/3
B
2/3
C
3/5
D
4/5

Question 65Single Answer

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260 ?

A
252
B
125
C
503
D
None of these

Question 66Single Answer

If January 1, 1996, was Monday, what day of the week was January 1, 1997 ?

A
Thursday
B
Wednesday
C
Friday
D
Sunday

Question 67Single Answer

Convert 0.333… into fraction ?

A
1/2
B
1/3
C
2/3
D
3/4

Question 68Single Answer

How many factors does 36 have ?

A
6
B
7
C
8
D

9

Question 69Single Answer

23% of 6783 + 57% of 8431 = ?

A
6460
B
6420
C
6320
D
6360

Question 70Single Answer

With a two digit prime number, if 18 is added, we get another prime number with digits reversed. How many such numbers are possible ?

Question 71Single Answer

If a number is divisible by both 8 and 9, then it must be divisible by ?

A
17
B
72
C
81
D
18

Question 72Single Answer

Which is smallest ?

A
5/6
B
7/8
C
9/10
D
11/12

Question 73Single Answer

What is (104 times 106) ?

A
11024
B
11020
C
11016
D
11040

Question 74Single Answer

What is (48 times 52) ?

A
2496
B
2500
C
2484
D
2516

Question 75Single Answer

Two numbers are co-prime if their HCF is ?

A
0
B
1
C
Same
D
Prime

Question 76Single Answer

Which of the following is a prime number ?

A
51
B
57
C
59
D
63

Question 77Single Answer

If the expression (px³-8x²-qx + 1) is completely divisible by the expression ?(3x² – 4x + 1), then what will be the value of p and q respectively?

A
B
(6, 1)
C
D
(1, 6)

Question 78Single Answer

The greatest number which will divide 116, 221, 356 leaving the same remainder in each case is

A
15
B
5
C
10
D
20

Question 79Single Answer

What number has to be added to 345670 in order to make it divisible by 6?

Question 80Single Answer

If x and y are related by x – y – 10 = 0 and mode of x is known to be 23, then the mode of y is :

A
20
B
13
C
3
D
23

Question 81Single Answer

A man travels at a speed of 20 km/hr and then returns at a speed of 30 km/hr. His average speed of the whole journey is

A
25 km/hr
B
24.5 km/hr
C
24 km/hr
D
None

Question 82Single Answer

A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. The correct standard deviation is

Question 83Single Answer

For a moderately skewed distribution, quartile deviation and the standard deviation are related by

Question 84Single Answer

The median of the data 13, 8, 11, 6, 4, 15, 2, 18 is

A
5
B
8
C
11
D
9.5

Question 85Single Answer

The sum of the squares of deviations of a set of observations has the smallest value; when the deviations are taken from their

A
A.M.
B
H. M.
C
G. M.
D
None

Question 86Single Answer

If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample size 50 ?

A
5.33
B
5.17
C
5.06
D
5

Question 87Single Answer

If two variables x & y are related by 2x + 3y –7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is

A
–5
B
4
C
12
D
50

Question 88Single Answer

Which of the following result hold for a set of distinct positive observations ?

A
A.M > G.M > H.M
B
G.M. > A.M. > H.M
C
G.M > A.M > H.M
D
A.M > G.M > H.M

Question 89Single Answer

Measures of dispersion are called averages of the ____ order .

A
1st
B
2nd
C
3rd
D
None

Question 90Single Answer

For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm and the sum of the squares of these deviations is 257 cm. The coefficient of variation is :

A
41.13%
B
42.13%
C
0.13%
D
None

Question 91Single Answer

If the AM and HM for two numbers are 5 and 3.2 respectively, then the GM will be

A
4.05
B
16
C
4
D
4.10

Question 92Single Answer

________ are used for measuring central tendency, dispersion and skewness

A
Median
B
Deciles
C
Percentiles
D
Quartiles

Question 93Single Answer

Which of the following companies A or B is more consistent so far as the payment of dividend is concerned ?
Dividend paid by A : 5 9 6 12 15 10 8 10
Dividend paid by B : 4 8 7 15 18 9 6 6

A
A
B
B
C
Both A & B
D
Neither A nor B

Question 94Single Answer

What is the coefficient of range for the following distribution ?
Class Interval : 10-19 20-29 30-39 40-49 50-59
Frequency : 11 25 16 7 3

A
22
B
50
C
75.82
D
72.46

Question 95Single Answer

An aeroplane flies from A to B at the rate of 500 km/hr and comes back from B to A at the rate of 700 km/hr. The average speed of the aeroplane is

A
600 km/hr
B
583.33 km/hr
C
D
620 km/hr

Question 96Single Answer

For a moderately skewed distribution, which of the following relationship holds ?

A
Mean – Median = 3 (Median – Mode)
B
Median – Mode = 3 (Mean – Median)
C
Mean – Mode = 3 (Mean – Median)
D
Mean – Median = 3 (Mean – Mode)

Question 97Single Answer

___ & ___ are called ratio averages :

A
HM & GM
B
HM & AM
C
AM & GM
D
None

Question 98Single Answer

A sample of 35 observations has the mean 80 and S.D. as 4. A second sample of 65 observations from the same population has mean 70 and S.D. 3. The S.D. of the combined sample is :

A
5.85
B
5.58
C
10.23
D
None of these

Question 99Single Answer

If x and y are related as 3x – 4y = 20 and the quartile deviation of x is 12, then the quartile deviation of y is

A
14
B
15
C
16
D
9

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Latest CDS Exam Question (Objective Questions), MCQ in English

Elementary Mathematics

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Elementary Mathematics

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