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SSC Selection Post 2022 PYQ — Question 71

SSC Selection Post - Graduation Level - 1 Aug 2022 - Shift 4 • Quantitative Aptitude • Q71

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If (a + b) = √11 and (a - b) = √7 then find the value of a2b2(a2 + b2).

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 9.

2(a2 + b2) = 11 + 7 = 18

⇒ a2 + b2 = 9

Also, 4ab = 11 - 7 = 4

⇒ ab = 1

So, a2b2(a2 + b2) = (1)2 × 9 = 9