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A is set of the factors of 28, b is a se...

A is set of the factors of 28, b is a set of the factors of 17 and C is a set of the odd multiples of 7 less than 50. Which of the following are singleton sets ?
(A) `A nn B` (ii) `C nn B`
(C) `A nn C`

A

Only (A) and (B)

B

Only (B) and (C)

C

Only (A) and (C)

D

(A), (B) and (C)

Text Solution

Verified by Experts

The correct Answer is:
C
Given that a is set of the factors of `28 implies A={1, 2, 4, 7, 14, 28}`.
B is set of the factor of `17 implies B={1, 17}`.
C is a set of the odd multiples of 7 less than `50 implies C={7, 21, 35, 49}`.
(a) `A nn B={1}` is a singleton set.
(b) `C nn B={ }`
(c) `A nn C={7}` is a singleton set.
Hence, choice (3) follows.
Hence, the correct option is (c).
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