Mathematics

E = (integers (leq) 20), P = (multiples of 3), Q = (multiples of 4),…

E = (integers (leq) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P’∩Q? 

  • A.
    (12)
  • B.
    (4, 8, 16, 20)
  • C.
    (3, 6, 9, 15, 18)
  • D.
    (1,2,5,7,10,11,13,17,19)
  • E.
    (3, 4, 6, 8, 9, 12, 15, 16, 18, 20)
Correct Answer: Option B
Explanation

E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

P = {3, 6, 9, 12, 15, 18}

Q = {4, 8, 12, 16, 20}

P’ = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}

P’ (cap) Q = {4, 8, 16, 20}