West Bengal Police Constable Special Mock Test

Mathematics - Number system

1 / 10

1) Find the greatest 4-digit number, which
when divided by 12, 18, 21 and 28, leaves
a remainder 3 in each case.

A) 9913

B) 9940

C) 9911

D) 9831

2 / 10

2) If p is a prime number other than 2 or 5.
One would like to express the vulgar
fraction 1/p in the form of a recurring
decimal. Then, the decimal will be

A) a pure recurring decimal and its period will be necessarily ((p-1)

B) a pure recurring decimal and its period will be some factor of (p-1)

C) a mixed recurring decimal and its period will be necessarily (p- 1)

D) a mixed recurring decimal and its period will be some factor of (p-1)

3 / 10

3) Three numbers are in the ratio of 3:4:5
and their LCM is 1200. Find the HCF of
the numbers.

A) None of these

B) 80

C) 30

D) 20

E) 40

4 / 10

4) If 0.1% of a number is 0.07, what is the number?

A) 70

B) 0.7

C) 7

D) 700

5 / 10

5) If 0.1% of a number is 5, what is the number?

A) 0.5

B) 500

C) 5000

D) 50

6 / 10

6) If x is a number such that 0.1 < x < 0.2, which of the following could be x?

A) 0.25

B) 0.099

C) 0.199

D) 0.15

7 / 10

7) When 1/7 of a number is subtracted
from the number itself, it gives the
same value as the sum of all the angles
of a triangle. What is the number?

A) 224

B) 140

C) 210

D) 187

E) 350

8 / 10

8) A number X is successively divided by
11, 4 and 3 leaving remainder 6, 2 and
1, respectively. X when divided
successively by 3, 4 and 11 leaves
remainder will be 6

A) 1, 2, 6

B) 0, 1, 2

C) 6, 0, 0

D) 0, 0, 6

9 / 10

9) What is the least number which when
increased by 9, is divisible by each one of
24, 32, 36 and 54?

A) 756

B) None of these

C) 895

D) 890

E) 855

10 / 10

10) A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

A) 36

B) 27

C) 45

D) 95

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Curriculum

Mathematics (Number system সংখ্যা পদ্ধতি)

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