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SSC CGL 2018 PYQ — Question 21

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q21

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If Xyz = 1, Yzz = 125 and Zyz = 243 (X, Y and Z are natural numbers), then what is the value of 9X + 10Y − 18Z?

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Correct answer: D

Explanation

The correct option is 4.

Xyz = 1 this equation derives that 1 to the power of any thing is always 1.

So, X = 1.

Now,

Yzx = x 125 implies that YZ = 53

And,

ZY = 243 implies that ZY = 35.

So, Y = 5 and Z = 3.

So, 9X + 10Y − 18Z = 9 × 1 + 10 × 5 − 18 × 3 = 59 − 54 = 5.

D is correct choice.