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Objective Questions

Latest WBPSC Supervisor Exam Question (Objective Questions), MCQ in English

Subjects : Mathematics

Question Bank WBPSC Supervisor Main Exam Paper IV - English

Mathematics

Question 1Single Answer

The income of a broker remains unchanged though the rate of commission is increased from 4 per cent to 5 per cent. The percentage of slump in business is :

A
10 per cent
B
15 per cent
C
20 per cent
D
30 per cent

Question 2Single Answer

A man buys a single apple for Rs 25. If he were to buy a dozen apples, he would have to pay a total amount of Rs 250. What would be the approximate per cent discount he would get on buying a dozen apples?

A
32%
B
20%
C
12%
D
8%
E
17%

Question 3Single Answer

The simple interest accrued on a sum of certain principal is Rs 1,200 in four years at the rate of 8 p.c.p.a. What would be the simple interest accrued on thrice of that principal at the rate of 6 p.c.p.a in 3 years

A
Rs 2025
B
Rs 3025
C
Rs 2250
D
Rs 2150
E
none of these

Question 4Single Answer

If the manufacture gains 10% the wholesale dealer 15% and the retailer 25% then the cost of production of an article whose retail price is Rs 1265 is

A
Rs 632.50
B
Rs 800
C
Rs 814
D
Rs 834.34

Question 5Single Answer

What profit/loss per cent did Ravi earn if he purchased an item of Rs 5,600 and sold it at three-fourth of its cost price ?

A
Loss of 20 per cent
B
Gain of 25 per cent
C
Neither gain nor loss
D
Loss of 15 per cent
E
None of these

Question 6Single Answer

The decimal expansion of n is

A
terminating
B
non-terminating and non-recurring
C
non-terminating and recurring
D
does not exist

Question 7Single Answer

The square root of

Question 8Single Answer

If (1101)²= 1212201 find the value at

A
110.1
B
11.01
C
1.101
D
11.001

Question 9Single Answer

, then value of

A
7.09
B
7.1014
C
7.1104
D
7.12

Question 10Single Answer

is equal to

A
–2
B
2
C
0
D
1

Question 11Single Answer

The square root of is

A
24
B
2.4
C
0.024
D
1.2

Question 12Single Answer

The simplified value of

A
0.075
B
0.705
C
0.750
D
7.500

Question 13Single Answer

The digit in unit's place of the number (1570)²+ (1571)² + (1572)² + (1573)² is

Question 14Single Answer

, then the value of

A
14.9985
B
149.985
C
1499.85
D
1.49985

Question 15Single Answer

The largest among the numbers (0.1)2

, 0.12 and is

A
(0.1)2
B
C
0.12
D

Question 16Single Answer

A
4
B
6
C
8
D
10

Question 17Single Answer

If(10.15)² = 103.0225, then the value of

A
1025.15
B
103.515
C
102.515
D
102.0515

Question 18Single Answer

is equal to

A
12.0
B
11.5
C
11.0
D
10.5

Question 19Single Answer

The number of digits in the square root of 625686734489 is

Question 20Single Answer

The simplified value of

Question 21Single Answer

Given that

, then the value of

is equal to

A
36.164
B
37.254
C
36.254
D
37.154

Question 22Single Answer

Given that

is approximately equal to 4898,

is nearly equal to

A
0.544
B
1.333
C
1.633
D
2.666

Question 23Single Answer

Which of the following numbers 0.1, 0.01, (0.11)²,

is greatest?

A
0.1
B
0.01
C
(0.11)2
D

Question 24Single Answer

The square root of

Question 25Single Answer

A
8.661
B
4.331
C
1.7321
D
–1.732

Question 26Single Answer

The square root of is

Question 27Single Answer

The square root of is

A
0.8
B
0.6
C
0.7
D
0.9

Question 28Single Answer

is equal to

Question 29Single Answer

The value of

A
14
B
16
C
16.6
D
18.8

Question 30Single Answer

The value of

correct to 3 places of decimals is

A
1.732
B
1.141
C
1.414
D
1.441

Question 31Single Answer

Rajni purchased a mobile phone and a refrigerator for Rs 12,000 and Rs 10,000 respectively. She sold the refrigerator at a loss of 12 per cent and mobile phone at a profit of 8 per cent. What is her overall loss/profit ?

A
Loss of Rs 280
B
Profit of Rs 2.160
C
Loss of Rs 240
D
Profit of Rs 2,060
E
None of these

Question 32Single Answer

A man has divided his total many in his will in such a way that half of its goes to his wife rd of the remaining among his three sons equally and the rest among his four daughter equally. If each daughter gets Rs 20,000, how much money will each son get?

A
Rs 50,333.33
B
Rs 48,233.33
C
Rs 53,333.33
D
Data inadequate
E
none of these

Question 33Single Answer

Tanvi started a business investing Rs 45000 after 8 months anisha joined her with a capital of Rs 52000 At the end of the year the total profit was Rs 56165. What is the share of profits of anisha ?

A
Rs 21450
B
Rs 24440
C
Rs 27635
D
Rs 31765
E
None of these

Question 34Single Answer

In a mixture of milk and water the proportion of water by weight was 75% if in the 60 gms mixture be the percentage of water in the new mixture ?

A
75%
B
88%
C
90%
D
100%
E
None of these

Question 35Single Answer

A camel pursues an elephant and takes 5 leaps for every 7 leaps of the elephant. but 5 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?

A
21 : 25
B
25 : 21
C
23 : 21
D
21 : 23

Question 36Single Answer

If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m :

Question 37Single Answer

The sum of the cubes of the numbers 22, –15 and –7 is equal to

A
6930
B
9630
C
3
D
0

Question 38Single Answer

is equal to

A
12
B
11
C
10
D
15

Question 39Single Answer

is equal to

A
1
9
B
1
3
C
1
127
D
1
31

Question 40Single Answer

The value of

is equal to

A
1
3
B
1
15
C
1
4
D
1
5

Question 41Single Answer

If cube root of 175616 is 56, then the value of

is equal to

A
0.168
B
62.16
C
6.216
D
6.116

Question 42Single Answer

is equal to

A
0.5625
B
5.625
C
182
D
13.6

Question 43Single Answer

(5.5)3 – (4.5)3 is equal to

A
1
B
75
C
74.25
D
75.25

Question 44Single Answer

What is the smallest number by which 625 must be divided, so that the quotient is a perfect cube?

A
25
B
5
C
2
D
3

Question 45Single Answer

If the square root of x is the cube root of y, then the relation between x and y is

A
x³ = y²
B
x² = y³
C
x = y
D
x⁶ = y⁵

Question 46Single Answer

By what least number should 675 be multiplied, so as to obtain a perfect cube number?

A
3
B
5
C
23
D
40

Question 47Single Answer

The least number, that must be added to 1720, so as to obtain a perfect cube, is a

A
7
B
8
C
11
D
13

Question 48Single Answer

By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube?

A
40
B
50
C
60
D
80

Question 49Single Answer

The least number, by which 1944 must be multiplied, so as to make the result a perfect cube, is

A
2
B
3
C
6
D
13

Question 50Single Answer

he sum of the squares of 2 numbers is 146 and the square root of one of them is . The cube of the other number is

A
1111
B
1221
C
1331
D
1441

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Mathematics

Question 51Single Answer

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is

Question 52Single Answer

The smallest positive integer n, by which 864 is multiplied, so as to make the result a perfect cube, is

Question 53Single Answer

Which smallest number must be added to 710, so that the sum is a perfect cube?

A
29
B
19
C
11
D
21

Question 54Single Answer

The sum of the digits of the smallest number which, when multiplied by 1800, gives a perfect cube, is

Question 55Single Answer

The sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube, is

Question 56Single Answer

The least possible value of A for which 90 × A is a perfect cube, is

A
200
B
300
C
500
D
600

Question 57Single Answer

Which of the following is a perfect square as well as a cube?

343, 125, 81 or 64

A
81
B
125
C
343
D
64

Question 58Single Answer

The square of a natural number subtracted from its cube is 48. The number is

Question 59Single Answer

Income of two companies A and B are in the ratio of 5 : 8. Had the Income of company 'A' been more by Rs 25 lakhs, the ratio of their Income would have been 5 : 4 respectively. What Is the income of company 'B' ?

A
Rs 80 lakhs
B
Rs 50 lakhs
C
Rs 40 lakhs
D
Rs 60 lakhs
E
None of these

Question 60Single Answer

Seats for maths, physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40% 50% and 75% respectively. What will be the respective ratio of increased seats ?

A
2 : 3 : 4
B
6 : 7 : 8
C
6 : 8 : 9
D
Cannot be determined
E
None of these

Question 61Single Answer

The average of 8 number is A and the average of four of these is B. If the average of remaining four is C, then

A
2A = B + C
B
A = B + 2C
C
A = 2B + C
D
A = 2A + 2B

Question 62Single Answer

The mean temperature of Monday to Wednesday was 37⁰C and of Tuesday to Thursday was 34⁰C. If the temperature on Thursday was 4/5 th that of Monday, then what was the temperature on Thursday.

A
36.5⁰C
B
36⁰C
C
35.2⁰C
D
34⁰C

Question 63Single Answer

Fresh grapes contain 80% water while dry grapes contain 10% water. If the weight of dry grapes is 250 kg. What was its total weight when it was fresh ?

A
1000 kg
B
1100 kg
C
1125 kg
D
1225 kg

Question 64Single Answer

is equal to

Question 65Single Answer

If 2^x = 3^y = 6^–z, then is equal to

is equal to

A
0
B
1
C
3
2
D
-1
2

Question 66Single Answer

The largest number among is

A
2
B
C
D
All are equal

Question 67Single Answer

The greatest among the numbers

A
B
C
0.5
D
3
5

Question 68Single Answer

If 0.42 × 100k = 42, then the value of k is

Question 69Single Answer

If (2000)¹⁰ = 1.024 × 10^k, then the value of k is

A
33
B
30
C
34
D
31

Question 70Single Answer

The square root of is

Question 71Single Answer

is equal to

A
1
16
B
16
C
-1
16
D
-16

Question 72Single Answer

The largest among the numbers 0.9, (0.9)2,

A
0.9
B
(0.9⁾²
C
0.5
D
0.6

Question 73Single Answer

The greatest number among 260, 348, 436 and 524 is

A
260
B
348
C
436
D
524

Question 74Single Answer

If 3x + y = 81 and 81x – y = 3, then the value of x i

A
42
B
15
8
C
17
8
D
39

Question 75Single Answer

(0.04)–(1.5) is equal to

A
25
B
125
C
60
D
5

Question 76Single Answer

Which of the following numbers is the greatest?

A
2
B
³
C
4
D
5

Question 77Single Answer

The greatest among

Question 78Single Answer

A rationalising factor of

Question 79Single Answer

Greatest among the numbers

Question 80Single Answer

{(–2)(–2)}(–2) is equal to

A
16
B
8
C
–8
D
–1

Question 81Single Answer

Which of the following is nearest to

A
B
1.75
C
173
100
D
1.69

Question 82Single Answer

Which is the greatest among

Question 83Single Answer

The smallest of

and

Question 84Single Answer

When

is presented in the form of perfect square it will be equal to

Question 85Single Answer

29. If

, then the value of n is

A
4
B
6
C
8
D
12

Question 86Single Answer

The rationalising factor of 3

A
1
3
B
3
C
-3
D

Question 87Single Answer

The number of Gypsy cars sold in 1998 was 16500 and that sold in 1997 was 16580 How much was the percentage decrease in the sales of the Gypsy cars from 1997 to 1998 ?

A
More than 1 per cent
B
Less than 1 percent
C
Zero per cent
D
Cannot be determined

Question 88Single Answer

The strength of a school increases and decreases every alternate year. It starts with increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2000 as compared to that in 1996?

A
Increase approximately by 2%
B
Decrease approximated by 2%
C
Increase approximately by 20%
D
Decrease approximately by 20%
E
None of these

Question 89Single Answer

The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively.

A
12, 24
B
24, 12
C
24, 36
D
36, 24

Question 90Single Answer

The LCM of three different numbers is 120. Which of the following cannot be their HCF?

A
8
B
12
C
24
D
35

Question 91Single Answer

If P = 23 × 310 × 5 and Q = 25 × 3 × 7, then HCF of P and Q is

A
2 · 3 · 5 · 7
B
3 · 23
C
22 · 37
D
25 · 310 · 5 · 7

Question 92Single Answer

The HCF of two numbers is 8. Which one of the following can never be their LCM?

A
24
B
48
C
56
D
60

Question 93Single Answer

The LCM and the HCF of the numbers 28 and 42 are in the ratio

A
6 : 1
B
2 : 3
C
3 : 2
D
7 : 2

Question 94Single Answer

The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, then quotient is 44. The other number i

A
147
B
528
C
132
D
264

Question 95Single Answer

If the LCM and HCF of two expressions are (x2 + 6x + 8) (x + 1) and (x + 1) respectively and one of the expression is x2 + 3x + 2, then find the other

A
x²+ 5x + 4
B
x² – 5x + 4
C
x² + 4x + 5
D
x² – 4x + 5

Question 96Single Answer

The sum of two number is 528 and their HCF is 33. How many pairs such numbers can be?

Question 97Single Answer

The ratio of two numbers is 5 : 6 and their LCM is 480, then their HCF is

A
20
B
16
C
6
D
5

Question 98Single Answer

Product of two coprime numbers is 117, then their LCM is

A
9
B
13
C
39
D
17

Question 99Single Answer

The product of two numbers is 2028 and their HCF is 13. The number of such pairs is

Question 100Single Answer

LCM of two numbers is 120 and their HCF is 10. Which of the following can be the sum of those two numbers?

A
140
B
80
C
60
D
70

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Latest WBPSC Supervisor Exam Question (Objective Questions), MCQ in English

Mathematics

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