# Practice Questions on Number SystemAptitude 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

## 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

## 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

## 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

## 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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