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SSC CHSL 2022 PYQ — Question 67

SSC CHSL - 2 June 2022 - Shift 1 • Quantitative Aptitude • Q67

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Simplify the following expression.

(777×777×777)+(423×423×423)(777×777)−(777×423)+(423×423)×{{(777×777×777)+(423×423×423)} \over(777×777)-(777×423)+(423×423)}×1(77−47){{1} \over(77-47)}

 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 40.

(777×777×777)+(423×423×423)(777×777)−(777×423)+(423×423)×{{(777×777×777)+(423×423×423)} \over(777×777)-(777×423)+(423×423)}×1(77−47){{1} \over(77-47)}

x3 + y3 = (x + y)(x2 - xy + y2)

Solving,

(777×777×777)+(423×423×423)(777×777)−(777×423)+(423×423)×{{(777×777×777)+(423×423×423)} \over(777×777)-(777×423)+(423×423)}×1(77−47){{1} \over(77-47)}  = (777+423)×[(777×777)−(777×423)+(423×423)](777×777)−(777×423)+(423×423)×{{(777+423)×[{(777×777)-(777×423)+(423×423)]}} \over(777×777)-(777×423)+(423×423)}× 1(77−47){{1} \over(77-47)}

= 1200/30 = 40