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SSC CGL 2024 PYQ — Question 58

SSC CGL - 24 Sep 2024 - Shift 2 • Quantitative Aptitude • Q58

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Find the value of (453×453×453−383×383×383)(453×383+383×383+453×453).{{(453×453×453 - 383×383×383)} \over (453×383 + 383 ×383 + 453 ×453)}.  

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 70

a3 - b3 = (a - b)(a2 + ab + b2)

Now, (453×453×453−383×383×383)(453×383+383×383+453×453){{(453×453×453 - 383×383×383)} \over (453×383 + 383 ×383 + 453 ×453)}

=(4533−3833)(3832+453×383+4532)={{(453^3 - 383^3)} \over (383^2 +453×383 + 453^2)}

=(453−383)(3832+453×383+4532)(3832+453×383+4532)={{(453-383)(383^2 +453×383 + 453^2)} \over (383^2 +453×383 + 453^2)}

= 453 - 383

= 70

Therefore, the value of the given expression is 70.