MATHEMATICS
JAMB 2012 - Question 9
Mathematics 2012 JAMB Past Questions - Question 9: If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10,Find P∩Q.
A:
B:
C:
D:
Correct Answer
B
Explanation
P={2,3,5} Q={1,2,3} P∩Q={2,3}To find the intersection (P∩Q) of the set of all prime factors of 30 (P) and the set of all factors of 18 less than 10 (Q), we need to determine the common elements between the two sets.First, let's find the prime factors of 30:The prime factors of 30 are 2, 3, and 5.Next, let's find the factors of 18 less than 10:The factors of 18 less than 10 are 1, 2, 3, 6, and 9.Now, let's find the common elements between P and Q:P∩Q = {2, 3}Therefore, the intersection of P and Q, P∩Q, is the set {2, 3}.
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