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SSC Selection Post 2022 PYQ — Question 74

SSC Selection Post - Graduation Level - 2 Aug 2022 - Shift 3 • Quantitative Aptitude • Q74

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If xy = 6 and x2y+xy2+x+y=63,x^2y + xy^2 + x + y = 63, then the value of x2 + y2 is :

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 69.

x2y + xy2 + x + y = 63

⇒ xy(x + y) + (x + y) = 63

⇒ (xy + 1)(x + y) = 63

⇒ (6 + 1)(x + y) = 63

⇒ 7(x + y) = 63

⇒ x + y = 9

So, x2 + y2 = (x + y)2 - 2xy = 92 - 2 × 6 = 69