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Question

The number of distinct rational numbers x such that 0 x 1 and x=pqwherep,q1,2,3,4,5,6 is
  1. 9
  2. 10
  3. 12
  4. 11


Solution

The correct option is D 11
0 < x < 1 p < q The number of rational numbers = 5 + 4 + 3 + 2 + 1 = 15 There are some rationals which are not different from those already counted. They are 24,26,36,46, required number = 15 – 4 = 11.

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