Statement I If A= set of prime numbers less than 6 and B= set of prime factors of 30 , then A=B. Statement II If P= 1,2,3 and Q= 2,2,1,3,3 then P and Q are not equal.

Question

Statement I If A= set of prime numbers less than 6 and B= set of prime factors of 30 , then A=B. Statement II If P= 1,2,3 and Q= 2,2,1,3,3 then P and Q are not equal. (A) Statement I is true (B) Statement II is true (C) Both are true (D) Both are false

Tardigrade Admin · Accepted Answer

A= 2,3,5 Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 . So, B= 2,3,5 ∴ A=B Hence, Statement I is true. We know that, a set does not change, if one or more elements of the set are repeated. Hence, P and Q are equal.

Q. Statement I If $A =$ set of prime numbers less than 6 and $B =$ set of prime factors of 30 , then $A = B$ .
Statement II If $P = {1, 2, 3}$ and $Q = {2, 2, 1, 3, 3}$ , then $P$ and $Q$ are not equal.

Statement I is true

Statement II is true

Both are true

Both are false

$A = {2, 3, 5}$
Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 .
So,
$B = {2, 3, 5}$
$∴ A = B$
Hence, Statement I is true.
We know that, a set does not change, if one or more elements of the set are repeated.
Hence, $P$ and $Q$ are equal.

Q. Statement I If A= set of prime numbers less than 6 and B= set of prime factors of 30 , then A=B. Statement II If P={1,2,3} and Q={2,2,1,3,3}, then P and Q are not equal.