Q.)P,Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R. [CAT 1997 Question]

(a)5

(b)7

(c)9

(d)11

Solution :

Let the three consecutive odd numbers P,Q and R be X , X+2 and X+4.

value of three times P is 3 less than two times R

=> 2(X+4) – 3X =3

=> 2X + 8 – 3X = 3

=> 8 – 3 – X = 0

=> 5 = X

Hence , the value of R = X+4 = 5+4 = 9

Hence , OPTION(c) Answer.