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473

Q:

A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65 ?

  • 1
    28
  • 2
    16
  • 3
    18
  • 4
    40
  • Show Answer
  • Workspace

Answer : 4. "40"
Explanation :

Let the least number be x

y = 5 × 1 + 3 = 8

x = 13 × 8 + 1 = 105

On dividing 105 by 65, remainder = 40

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