SarkariPYQ

SSC Selection Post 2022 PYQ — Question 63

SSC Selection Post - Higher Secondary Level 2022 - 2 Aug 2022 - Shift 2 • Quantitative Aptitude • Q63

Back to paper

Simplify the following:

7.23×7.23×7.23+2.77×2.77×2.777.23×7.23−7.23×2.77+2.77×2.777.23×7.23×7.23+2.77×2.77×2.77\over7.23×7.23-7.23×2.77+2.77×2.77

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 10.

Given, 7.23×7.23×7.23+2.77×2.77×2.777.23×7.23−7.23×2.77+2.77×2.777.23×7.23×7.23+2.77×2.77×2.77\over7.23×7.23-7.23×2.77+2.77×2.77

⇒ 7.233+2.7737.232−7.23×2.77+2.772\frac{7.23^3 + 2.77^3}{7.23^2 - 7.23 \times 2.77 + 2.77^2}

⇒ (7.23+2.77)(7.232−7.23×2.77+2.772)7.232−7.23×2.77+2.772\frac{(7.23 + 2.77)(7.23^2 - 7.23 \times 2.77 + 2.77^2)}{7.23^2 - 7.23 \times 2.77 + 2.77^2} 

⇒ 7.23 + 2.77 = 10