model 2 divisibility, multiples, add and subtract based number system Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

a) 4

b) 3

c) 2

d) 5

Question : 2

A student was asked to multiply a number by $3/2$ but he divided that number by $3/2$. His result was 10 less than the correct answer. The number was :

a) 12

b) 10

c) 20

d) 15

Question : 3

The expression $2^{6n} – 4^{2n}$, where n is a natural number is always divisible by

a) 18

b) 15

c) 48

d) 36

Question : 4

When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided by 12 ?

a) 5

b) 7

c) 0

d) 3

Question : 5

$9^6$ – 11 when divided by 8 would leave a remainder of :

a) 2

b) 0

c) 6

d) 4

Question : 6

A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

a) 4

b) 2

c) 8

d) 6