Practice Questions on Number System
Aptitude Questions and Answers

Moderate Number System Question - 16

Q16.

Find the remainder when $3^{164}$ is divided by $162$?

A.

0

B.

9

C.

11

D.

81

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Moderate Number System Question - 17

Q17.

The two positive integers '$p$' and '$q$' satisfy:

$dfrac{(p+q)}{t} = text{HCF}(p,q)$.

Which of the following two numbers sum up to '$t$'?

A.

13 and 52

B.

132 and 96

C.

18 and 126

D.

56 and 45

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Moderate Number System Question - 18

Q18.

Which one of the following is the minimum value of the sum of two integers whose product is 36?

A.

37

B.

20

C.

15

D.

12

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Moderate Number System Question - 19

Q19.

What is the remainder when $9^1 + 9^2 + 9^3 + .... + 9^8$ is divided by $6$?

A.

3

B.

2

C.

0

D.

5

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Moderate Number System Question - 20

Q20.

What is the unit's digit of the number $6^{256} – 4^{256}$

A.

0

B.

1

C.

4

D.

7

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