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SSC Selection Post 2019 PYQ — Question 72

SSC Selection Post - Matriculation Level 2019 - 17 Jan 2019 - Shift 1 • Quantitative Aptitude • Q72

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What would be the result of the followign expression.

(971+29)2−(971−29)22×971×29\frac{\left ( 971+29 \right )^2-\left ( 971-29 \right )^2}{2\times971\times29}

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Correct answer: A

Explanation

The correct answer is option 1. i.e. 2

a = 971, b = 29

(971+29)2−(971−29)22×971×29=(a+b)2−(a−b)22ab=2\frac{(971 + 29)^2 - (971 - 29)^2}{2 \times 971 \times 29} = \frac{(a + b)^2 - (a - b)^2}{2ab} = 2