Sets Relations And Functions Question 93
Question: If F (n) denotes the set of all divisors of n except 1. What is the least value of y satisfying $ [F(20)\cap F(16)]\subseteq F(y)? $
Options:
A) 1
B) 2
C) 4
D) 8
Show Answer
Answer:
Correct Answer: B
Solution:
- [b]Given that $ F(n)= $ set of all divisors of n except 1
$ \therefore F(20)={2,4,5,10,20} $ And $ F(16)={2,4,8,6} $
$ \therefore F(20)\cap F(16)={2,4,5,10,20}\cap {2,4,8}={2,4} $ Also, $ {F(20)\cap F(16)}\subseteq F(y) $ So, least value of y = 2
BETA
