Multiple choice

A certain number when divided by 175 leaves a remainder 132. When the same number is divided by 25, the remainder is -

  1. 9

  2. 8

  3. 5

  4. 6

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

N = 175k + 132 for some integer k. When N is divided by 25, the remainder depends on k's parity. If k is even, remainder is 7; if k is odd, remainder is 18. Since the remainder varies (7 or 18), none of the fixed options (9, 8, 5, 6) are always correct.

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