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JAMB Mathematics 2016 Paper

Question : 41

Total: 50

\cap

Solution:

Concept:

The intersection of two sets contains only the elements that are common to both sets.

Explanation:

First, list the positive factors of 18.

The factors are:

1, 2, 3, 6, 9, 18

Q = \{1, 2, 3, 6, 9, 18\}

Next, list the prime numbers between 2 and 18.

The prime numbers are:

2, 3, 5, 7, 11, 13, 17

T = \{2, 3, 5, 7, 11, 13, 17\}

Now, find the elements that appear in both sets.

Both

Q

and

T

contain

2

and

3

Thus,

Q \cap T = \{2, 3\}

Answer:

Option A.

(2, 3)

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