Data Sufficiency

Question
Which of the three bowlers in the series of test matches took most wickets?
(A) The first and the third bowlers took twice as many wickets as the second bowler
(B) The second and the third bowlers took three times as many wickets as the first bowler.
Options:
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
C. Each statement alone is sufficient
D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

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Answer: Option D
: D

This is the solving of 2 simultaneous equationsA+C=2BB+C=3Asubtracting the above equations we get B=2A, hence B is greater than A.Also we get 4C=5B, hence c is greater than B.So the order will be C>B>A. hence C took the maximum wicketsOption (d)

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