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SSC CGL 2022 PYQ — Question 74

SSC CGL - 21 April 2022 - Shift 1 • Quantitative Aptitude • Q74

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Find the value of the following expression:

(7.03)3−(0.027)(7.03)2+2.109+(0.3)2\frac{(7.03)^3-(0.027)}{(7.03)^2+2.109+(0.3)^2}

 

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 6.73

Formula used:

(a3 - b3) = (a - b)(a2 + ab + b2)        ---- (1)

Calculations:

Using equation (1), we get

⇒(7.03−0.3)((7.03)2+2.109+(0.3)2)(7.03)2+2.109+(0.3)2\Rightarrow \dfrac{(7.03 - 0.3)((7.03)^2 + 2.109 + (0.3)^2)}{(7.03)^2 + 2.109 + (0.3)^2}

⇒(7.03−0.3)\Rightarrow (7.03 - 0.3)

⇒6.73\Rightarrow 6.73

Hence the value of (7.03)3−(0.027)(7.03)2+2.109+(0.3)2\frac{(7.03)^3-(0.027)}{(7.03)^2+2.109+(0.3)^2} is 6.73.