Question : If p + q = 7 and p2 + q2 = 25, then find the value of pq.
Option 1: 24
Option 2: 12
Option 3: 18
Option 4: 36
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Correct Answer: 12
Solution : Given, p + q = 7 Squaring both sides, p 2 + q 2 + 2pq = 49 ⇒ 25 + 2pq = 49 ⇒ 2pq = 24 ⇒ pq = 12 Hence, the correct answer is 12.
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