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A number when divided by 296 gives a remainder 75. When the same number is divided by 37, the remainder will be
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- 1
- 2
- 8
- 11
Correct Option: A
Let number (dividend) be P.
∴ P = 296 × Q + 75 , where Q is the quotient and can have the values 1, 2, 3 etc.
P = 37 × 8 × Q + 37 × 2 + 1
P = 37 (8Q + 2) + 1
Thus we see that the remainder
is 1.
[Remark : From above it is clear
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].
