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SSC Selection Post 2020 PYQ — Question 62

SSC Selection Post - Higher Secondary Level - 6 Nov 2020 - Shift 3 • Quantitative Aptitude • Q62

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If the value of (a+b-3)2+(b+c-2)²+(c+a-5)²=0, then the value of (b+c)a+(c+a)b\sqrt(b+c)^a +(c+a)^b is:
 

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 3.

(a + b − 3)2 + (b + c − 2)2 + (c + a − 5)2 = 0
⇒ a + b = 3, b + c = 2, c + a = 5
b = 0, a = 3, c = 2

√[(b + c)a + (c + a)b]
= √[(0 + 2)3 + (2 + 3)0]
= √[23 + 50] = √[8 + 1] = √9 = 3