SSC CHSL 2021 PYQ — Question 69

SSC CHSL - 16 April 2021 - Shift 2 • Quantitative Aptitude • Q69

If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c), then what is the value of (a + 2b + 5c)?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 4

If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c)

(a - 1)2 + (2b - 1)2 + ( 5c -2)2 = 0

Then a = 1

b = 1/2

c = 2/5

The value (a + 2b + 5c) = 1 + 2 * ½ + 5 * (2/5) = 4