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Which one of the following is not a prime number?

  • A.31
  • B.61
  • C.71
  • D.91

Answer: D

Test each for divisibility.

\[ 91 = 7 \times 13 \]

31, 61 and 71 have no divisor other than 1 and themselves, so 91 is the composite one. It is a classic trap: it is odd, does not end in 5, and its digits sum to 10, so the easy tests all pass - only 7 catches it.

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