Question
A number when divided by 296 gives a remainder 75. When the same number is divided by 37, the remainder will be
Answer: Option B
Answer: (b)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. [Important Note : 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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Answer: (b)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. [Important Note : 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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