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COMEDK202510 May 2025Evening ShiftMathematicsSets and RelationsActual

If A= 1,2,4 B= 2,4,5 C= 2,5 then (A-B) (B-C)=

Options

  1. A4,5
  2. B1,2,4,5
  3. C2,4,5

Correct answer

B. 1,2,4,5

Step-by-step solution

Given sets A = 1, 2, 4 , B = 2, 4, 5 , and C = 2, 5 . First, calculate A - B . The set A - B contains elements that are in A but not in B . A - B = 1, 2, 4 - 2, 4, 5 = 1 . Next, calculate B - C . The set B - C contains elements that are in B but not in C . B - C = 2, 4, 5 - 2, 5 = 4 . Finally, find the intersection (A - B) (B - C) . (A - B) (B - C) = 1 4 = . Answer:

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