Eight sets A, B, C, D, E, R, G and H are such that
i) A is a superset of B, but a subset of C
ii) B is a subset of D, but a superset of E
iii) F is a subset of A, but a superset of B
iv) G is a superset of D, but a subset of F
v) H is a subset of B
N(A), N(B), N(C), N(D), N(E), N(G) and N(H) are the number of elements in the sets A, B, C, D, E, F, G and H respectively.
Q1. Which of the following could be false, but not necessarily false?
a) E is a subset of D
b) E is a subset of C
c) E is a subset of A
d) E is a subset of H
Q2. If P is a new set and it is a superset of A and N(P) is the number of elements in P, the which of the following must be true?
a) N(G) is smaller than only four numbers
b) N(C) is the greatest
c) N(B) is the smallest
d) N(P) is the greatest
Answer
1. d
2. d