Question

The number which should be added to the number added to the numbers 2, 14, 62 so that the resulting numbers may be in G.P. is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B

2

Suppose that the added number be x

then x + 2, x + 14, x + 62 be in G.P.

Therefore $(x+14{)}^2$ = (x + 2)(x + 62)

$\Rightarrow x^2+196+28x$ = $x^2+64x+124$

$\Rightarrow 36x$ = 72 $\Rightarrow x$ = 2

Trick : (a) Let 1 is added, then the numbers will be 3, 15, 63 which are obviously not in G.P.

(b) Let 2 is added, then the numbers will be 4, 16, 64 which are obviously in G.P.