2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Sets

JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    If F (n) denotes the set of all divisors of n except 1. What is the least value of y satisfying \[[F(20)\cap F(16)]\subseteq F(y)?\]

    A) 1                                 

    B) 2

    C) 4                                 

    D) 8

    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


You need to login to perform this action.
You will be redirected in 3 sec spinner