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Q:

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

  • 1
    8
  • 2
    1
  • 3
    2
  • 4
    11
  • Show Answer
  • Workspace

Answer : 2. "1 "
Explanation :

Let number (dividend) be X.

∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.

= 37 × 8 × Q + 37 × 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

Hence, divide 75 by 37, the remainder is 1].

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