RRB Group-D Model Paper 19 with answers for online practice

Question : 9 of 100

Marks: +1, -0

The sum of a rational number and its reciprocal is

13/6

, find the number.

Solution:

Let number is N
⇒ N + 1/N = 13/6
⇒

6N^2

+ 6 = 13N
⇒

6N^2

– 13N + 6 = 0
⇒

6N^2

– 9N – 4N + 6 = 0
⇒ 3N(2N – 3) – 2(2N – 3) = 0
⇒ (3N – 2) (2N – 3) = 0
⇒ N = 2/3, 3/2

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