A is a set of all the prime numbers less than 20, B is a set of all the even natural numbers less than 20 and C is a set of all the odd natural numbers. Which of the following is/are true statements ? (A) `A nn B` is a singleton set. (B) B and C are disjoint sets. (C) `A nn C` is an infinite set.A. Only (B)B. Both (A) and (B)C. Both (B) and (C)D. (A), (B) and (C)

A is a set of all the prime numbers less than 20, B is a set of all th

1.	A is a set of all the prime numbers less than 20, B is a set of all the even natural numbers less than 20 and C is a set of all the odd natural numbers. Which of the following is/are true statements ? (A) `A nn B` is a singleton set. (B) B and C are disjoint sets. (C) `A nn C` is an infinite set.A. Only (B)B. Both (A) and (B)C. Both (B) and (C)D. (A), (B) and (C)
Answer» Correct Answer - B Given that A is a set of all the prime numbers less than `20 implies A={2, 3, 5, 7, 11, 13, 17, 19}` B is a set of all the even natural numbers less then `20 implies B={2, 4, 6, 8, 10, 12, 14, 16, 18}` C is a set of all the odd natural numbers `implies C={1, 3, 5, 7 ...}` (a) `A nn B={2}` is a singleton set. (b) `B nn C={ }implies B` and `C` are disjoint sets. (c) `A nn C={3, 5, 7, 11, 13, 17, 19}` is not an infinite set. Hence, choice (2) follows. Hence, the correct option is (b).