Practice Questions on Number System

01) When ‘n’ is divisible by 5 the remainder is 2. What is the remainder when n² is divided by 5? [SSC CGL Tier I Exam 19/06/2011, Shift II]

          a) 2

          b) 3

          c) 1

          d) 4

02) The remainder when 3²¹ is divided by 5 is [SSC CGL Tier I Exam 26/06/2011, Shift I]

          a) 1

          b) 2

          c) 3

          d) 4

03) If the sum of the digit of any integer between 100 and 1000 is subtracted from the same integer, the resulting number is always divisible by [SSC CGL Tier I Exam 03/09/2016, Shift II]

          a) 2

          b) 5

          c) 6

          d) 9

04) When 2³¹ is divided by 5 the reminder is [SSC CGL Tier I Exam 19/06/2011, Shift I]

          a) 4

          b) 3

          c) 2

          d) 1

05) 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 [SSC CGL Tier I Exam 19/06/2011, Shift II]

          a) 124

          b) 122

          c) 118

          d) 114

06) The expression 2⁶ⁿ-4²ⁿ, where n is a natural number is always divisible by [SSC CHSL DEO & LDC Exam 04/12/2011, Shift I]

          a) 15

          b) 18

          c) 36

          d) 48

07) (4⁶¹+4⁶²+4⁶³) is divisible by [SSC CHSL DEO & LDC Exam 04/12/2011, Shift II]

          a) 3

          b) 11

          c) 13

          d) 17

08) 47 is added to the product of 71 and an unknown number. The new number is divisible by 7 giving the quotient 98. The unknown number is a multiple of [SSC CHSL DEO & LDC Exam 04/12/2011, Shift I]

          a) 2

          b) 5

          c) 7

          d) 3

09) When an integer K is divided by 3, the remainder is 1, and when K+1 is divided by 5, the remainder is 0. Of the following, a possible value of K is [SSC CHSL DEO & LDC Exam 11/12/2011, Shift I]

          a) 62

          b) 63

          c) 64

          d) 65

10) The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is [SSC Constable (GD) & Rifleman (GD) Exam 22/04/2012, Shift II]

          a) 40

          b) 42

          c) 41

          d) 50