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Every whole number from 1 to 60 is placed in the diagram. How many numbers belong in the region marked ?

Competition practiceVenn Diagrams
  • A5
  • B3
  • C15
  • D4

Step-by-Step Solution

The ? region holds multiples of both 4 and 6 (that is, of 12) that are not multiples of 9: 12, 24, 48 and 60 — four numbers. 36 is a multiple of 9, so it goes in the centre. 5 keeps 36, 3 also drops 60, and 15 counts every multiple of 4.
Answer: D) 4

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