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Average - General Aptitude

Q1:

The average age of P, Q, R and S is 30 years. How old is R?
I.  The sum of ages of P and R is 60 years.
 II.  S is 10 years younger than R.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:D - Both I and II are not sufficient to answer

P + Q + R + S = (30 x 4)      P + Q + R + S = 120 .... (i)  I. P + R = 60 .... (ii) II. S = (R - 10) .... (iii) From (i), (ii) and (iii), we cannot find R.  Correct answer is (D)