Basic LR Sets

A, B, C, D and E belong to five different cities P, Q, R, S and T (not necessarily in that order). Each one of them comes from a different city. Further it is given that:

  • 1. B and C do not belong to Q
  • 2. B and E do not belong to P and R
  • 3. A and C do not belong to R, S and T
  • 4. D and E do not belong to Q and T

Which one of the following statements is not correct?

  1. B belongs to S
  2. C belongs to P
  3. D belongs to R
  4. A belongs to Q

Answer

From statements 1 and 3, C does not belong to Q, R, S and T. So, only one possibility is left - C belongs to P.

From statement 3, A does not belong to R, S and T. So, A belongs to Q.

From statements 2 and 4, E does not belong to P, R, Q and T. So, E belongs to S. B can not belong to S.

A - Q; B -  T; C - P; D - R; E - S

The correct option is A.