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SSC CGL 2019 PYQ — Question 13

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q13

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If a2 + b2 + c2 + 96 = 8 (a + b - 2c), thenis equal to ?

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Correct answer: C

Explanation

The correct answer is option 3 ie 4.

a2 + b2 + c2 + 96 = 8a + 8b - 16c

(a2 - 8a + 16) + (b2 - 8b + 16) + (c2 + 16c + 64) = 0

(a - 4)² + (b - 4)² + (c + 8)² = 0

a = b = 4

c = -8

Now,

= √16

= 4