IMA/AFCAT

If the number q, q+2 and q+6 are all prime, then what can be the values of 3q+9 ?

• Only 18

• Only 42

• Only 60

• Both (b) and (c)

On dividing 4996 by a certain number, the quotient is 62 and the remainder is 36. What is divisor?

• 80

• 85

• 90

• 95

The set of integers is closed with respect to which one of the following?

• Addition only

• Multiplication only

• Both addition and multiplication

• Division

Which one of the following is correct? The sum of two irrational numbers

• Is always a natural or irrational

• May be rational or irrational

• Is always a rational number

• Is always an irrational number

Which one is correct? The number 222222 is

• Divisible by 3 but not by 7

• Divisible by 3 and 7 but not by 11

• Divisible by 2 and 7 but not by 11

• Divisible by 3, 7, 11

What number should be added to 231228 to make it completely divisible by 33?

• 1

• 2

• 3

• 4

The largest integer that divides product of any four consecutive integers is

• 4

• 6

• 12

• 24

What is the last digit in the expansion of (2457)⁷⁵⁴

• 3

• 7

• 8

• 9

What least value must be given to *, so that the number 8798546*5 is divisible by 11 ?

• 0

• 1

• 2

• 3

What can be said about the expansion of 2¹²ⁿ – 6⁴ⁿ, where n is positive integer?

• Last digit is 4

• Last digit is 2

• Last digit is 8

• Last two digits are zero