CAT 2020 Quant Question [Slot 3] with Solution 21

Question

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

  1. 40
  2. 42
  3. 43
  4. 41
Option: 4
Solution:

The required answer \( = 120 \times \left( {1 - \frac{1}{2}} \right) \times \left( {1 - \frac{1}{5}} \right) \times \left( {1 - \frac{1}{7}} \right) = 41.14\)

Required answer is the integral part of \(41.14 = 41\)

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CAT 2020 Quant questions with Solutions