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  9. Q133

UKPSC PCS 2010 · Question 133 of 138

If |A 1 |=15, |A 2 |=8, |A 3 |= 6 and |A 1 A 2 A 3 |= 3 then | A 1 A 2 A 3 | will be ?

Maths

  1. A32
  2. BLess than or equal 23Correct
  3. CGreater than 32
  4. DGreater than 23

Answer: B. Less than or equal 23

Explanation

By inclusion-exclusion the union is 32 minus the pairwise intersections, at most 23.

Source: UKPSC Lower PCS Prelims 2010 (Combined Lower Subordinate Services Exam), held 2011

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