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 899 gives a remainder 63. If the same number is divided by 29, the remainder will be :

a) 5

b) 10

c) 2

d) 4

Question : 2

If $3/4$ of the difference of 2$1/4$ and 1$2/3$ is subtracted from $2/3$ of 3$1/4$ the result is

a) $48/83$

b) ${-48}/83$

c) $83/48$

d) ${-83}/48$

Question : 3

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is

a) 7

b) 9

c) 3

d) 5

Question : 4

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 : 5

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 : 6

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