Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The subsets P and Q of the universal set U are defined as follows: U = {x: 30 ≤ x ≤ 50}, P = {prime numbers}, Q = {odd numbers}. List the elements of P ∩ Q.
Options
A {31, 37, 41, 43, 47}
Correct Answer
B {31, 33, 35, 37, 39}
C {32, 34, 36, 38, 40}
D {33, 35, 39, 45, 49}
Correct Answer

Option A is the correct answer.

Detailed Explanation

Prime numbers between 30 and 50 are 31, 37, 41, 43, and 47. All prime numbers greater than 2 are odd, so the intersection of prime numbers and odd numbers is the set of these primes.

Hint

First list all prime numbers between 30 and 50, then check which of them are odd.

Question Info