Data Sufficiency 2

Answer: Option C

Explanation:

M + T + W = (37 x 3)
M + T + W = 111 -------------- (i)

T + W + Th = (34 x 3)
T + W + Th = 102 ------------- (ii)

I gives, Th = 4/5 M M = 5/4 Th
Using it in (i), we get :
5/4 Th + T + W = 111 .............. (iii)

On subtracting (ii) from (iii),
we get : 1/4 Th = 9 Th = 36
Thus, I alone gives the answer.

II gives, M + Th = (40.5 x 2) M + Th = 81 .--------(iv)
On subtracting (ii) from (i), we get M - Th = 9 ----- (v)
From (iv) and (v), we get Th = 36.
Thus, II alone gives the answer.

III gives, M - Th = 9.
Clearly, III with given results, does not give the answer.
Correct answer is (C).

Answer: Option E

Explanation:

I gives, total marks in 4 subjects = (60 x 4) = 240.

II gives, E + M = 170

III gives, M + S = 180.

Thus, none of (A), (B), (C), (D) is true.

Correct answer is (E).

Answer: Option C

Explanation:

Total age of 11 players = (28 x 11) years = 308 years.

 I. C = Y + 11      C - Y = 11 .... (i)

II. Total age of 10 players (excluding captain)

= (27.3 x 10) years = 273 years.

Age of captain = (308 - 273) years = 35 years.

Thus, C = 35. .... (ii)

From (i) and (ii), we get Y = 24

III. Total age of 9 players

= [ (25 x 3) + (28 x 3) + (30 x 3)] years

= 249 years.

C + Y = (308 - 249) = 59 .... (iii)

From (i) and (iii), we get C = 35.

Thus, II alone gives the answer.

Also, I and III together give the answer.

Correct answer is (C).