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

Question : 1

The greatest common divisor of 3³³³³ + 1 and 3³³³⁴ + 1 is ?

a) 2

b) 1

c) 3³³³³ + 1

d) 20

Question : 2

A number when divided by 91 gives a remainder 17. When the same number is divided by 13, the remainder will be ?

a) 0

b) 4

c) 6

d) 3

Question : 3

Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was 3042. The number of members present in the party was ?

a) 2

b) 32

c) 40

d) 39

Question : 4

(49)¹⁵ – 1 is exactly divisible by :

a) 50

b) 51

c) 29

d) 8

Question : 5

When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8 ?

a) 4

b) 5

c) 3

d) 7

Question : 6

If m and n are positive integers and (m – n) is an even number, then (m² – n²) will be always divisible by

a) 4

b) 6

c) 8

d) 12