Question Bank - General Aptitude

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If a2 + b2 = 41 and ab = 20, then (a + b) ÷ (a “ b) = ______.

A.
9
B.
5
C.
7
D.
13

Solution:

Concept:(a + b)2 = a2 + b2 + 2ab(a - b)2 = a2 + b2 - 2abCalculation:Given:a2 + b2 = 41 and ab = 20(a + b)2 = 41 + (2 × 20) = 81\((a + b) = \sqrt {81}\)(a + b) = 9(a - b)2 = 41 - (2 × 20) = 1(a - b) = 1\((a + b) ÷ (a “ b) = \frac{(a+b)}{(a-b)}=\frac{9}{1}=9\)

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