Previous Year Questions

Let present age of persons A, B, C, D and E is 'A', 'B', 'C', 'D' and 'E' respectively.

From I:

[(A + 6) + (B + 6) + (C + 6) + (D + 6)]/4 = 21

(A + B + C + D) + 24 = 84

(A + B + C + D) = 60 ........ (1)

A = E + 3 ........ (2)

Statement I alone is not sufficient.

From II:

[(C + 3) + (D + 3) + (E + 3)]/3 = 16

(C + D + E) + 9 = 48

(C + D + E) = 39 .......... (3)

[(A - 2) + (B - 2)]/2 = 14

(A + B) - 4 = 28

(A + B) = 32 ........ (4)

Statement II alone is not sufficient.

From I and II:

[(A + 6) + (B + 6) + (C + 6) + (D + 6)]/4 = 21

(A + B + C + D) + 24 = 84

(A + B + C + D) = 60 ........ (1)

A = E + 3 ........ (2)

[(C + 3) + (D + 3) + (E + 3)]/3 = 16

(C + D + E) + 9 = 48

(C + D + E) = 39 .......... (3)

[(A - 2) + (B - 2)]/2 = 14

(A + B) - 4 = 28

(A + B) = 32 ........ (4)

From (1) and (4)-

32 + (C + D) = 60

(C + D) = 28 ........ (5)

From (3) and (5)-

28 + E = 39

E = 11 .......... (6)

From (2) and (6)-

A = 11 + 3 = 14 years

We can't calculate the value of C.

Statement I and II together are not sufficient.