model 2 divisibility, multiples, add and subtract based number system Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

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

a) 2

b) 1

c) 3³³³³ + 1

d) 20

Question : 7 [S.S.C. (CHSL) 2011]

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 : 8

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 : 9 [S.S.C. (CHSL) 2011]

The expression 2⁶ⁿ – 4²ⁿ, where n is a natural number is always divisible by

a) 15

b) 18

c) 36

d) 48

Question : 10 [S.S.C. (CGL) 2011]

A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been ?

a) 124

b) 122

c) 118

d) 114