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Every whole number from 1 to 40 is placed in the correct region of the diagram. How many numbers belong in the region marked ?

Competition practiceVenn Diagrams
  • A11
  • B10
  • C12
  • D20

Step-by-Step Solution

The ? region holds odd primes that are not multiples of 3: 5, 7, 11, 13, 17, 19, 23, 29, 31 and 37 — ten numbers (3 goes in the centre). 11 keeps 3, 12 counts every prime up to 40, and 20 counts every odd number.
Answer: B) 10

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