Division Algorithm - 2 MCQ

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• Find the greatest common divisor of 2200-1 and 2240-1.
  ক

  240-1

  খ

  220-1

  গ

  210-1

  ঘ

  260-1
• If we divide the unknown 2-digit number by the number consisting of the same numbers in reverse order, we get 2 as quotient and 10 as a remainder. If we divide the required number by the sum of its digits, we get 7 as quotient and 6 as a remainder. Find the number.
  ক

  62

  খ

  26

  গ

  84

  ঘ

  95
• 912 – 512 is divisible by which of the following number?
  ক

  56

  খ

  106

  গ

  106 or 56

  ঘ

  106 or 56 or 14
• Three girls X, Y and Z were asked to divide a certain number by 1547 by the method of factors. They took the factors in the order (7,13,17), (13,17,7) and (17,7,13) respectively. If the first girl X obtained (2,3,5) as successive remainder, then find the successive remainders obtained by the other two girls Y and Z.
  ক

  (2,1,2) and (5,5,3)

  খ

  (2,1,2) and (15,15,3)

  গ

  (2,1,2) and (15,5,3)

  ঘ

  (2,2,2) and (15,5,3)
• If seven times the smaller number is divided by the larger one, we get 5 as quotient and 1 as remainder. Also, if three times the larger number is divided by the smaller one, we get 4 as quotient and 3 as remainder. Find the numbers.
  ক

  12 and 18

  খ

  25 and 18

  গ

  24 and 18

  ঘ

  18 and 36
• A number being successively divided by 5, 7 and 9 leaves remainder 2, 4 and 6 respectively. Find the respective remainders if the order of the divisors is reversed.
  ক

  7, 4, 3

  খ

  5, 4, 3

  গ

  5, 2, 1

  ঘ

  7, 2, 1