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1.

The least number which must be subtracted from 6709 to make it exactly divisible by 9 is :


A) 2

B) 3

C) 4

D) 5



2.

The smallest number to be added to 1000 so that 45 divides the sum exactly is :


A) 10

B) 20

C) 35

D) 80



3.

If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will also be divisible by 11 ?


A) 4x + 6y

B) x + y + 4

C) 9x + 4y

D) 4x - 9y



4.

The difference between the squares of two consecutive odd integers is always divisible by :


A) 3

B) 6

C) 7

D) 8



5.

The largest natural number which exactly divides the product of any four consecutive natural numbers is :


A) 6

B) 12

C) 24

D) 120



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