SSC CGL 2016 PYQ — Question 72

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q72

If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20, then the value of 

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Correct answer: C

Explanation

The correct option is 3.

a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20

let a = 0, b = 0, x = 0, y = 0

we get

02 + 02 + c2 = 16, c2 = 16, c = 4

02 + 02 + z2 = 25 , z2 = 25, z = 5

putting value of c and z

0x + 0y + cz = 20

satisfy the above equation

putting the values