Data Sufficiency - Football match outcome

CAT 2007 Slot 1 · DILR · Easy · Data Sufficiency

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In a football match, at the half-time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match?

A. In the second-half Mahindra and Mahindra Club scored four goals. B. The opponent scored four goals in the match.

  1. A.

    Statement A alone is sufficient but statement B alone is not sufficient

  2. B.

    Statement B alone is sufficient but statement A alone is not sufficient

  3. C.

    Either statement alone is sufficient

  4. D.

    Both statements together are sufficient but neither alone is sufficient

  5. E.

    Statements A and B together are not sufficient

Answer

E

Explanation

Half-time score: M&M =x= x, Opponent =x+3= x + 3. Using both A and B: M&M second half =4= 4, Opponent total =4= 4. Opponent half-time score could be 33 or 44.

  • If Opponent scored 3 in first half and 1 in second half   ⟹  \implies Final score M&M (0+4)=4(0+4) = 4, Opponent =4= 4 (Draw).
  • If Opponent scored 4 in first half and 0 in second half   ⟹  \implies Final score M&M (1+4)=5(1+4) = 5, Opponent =4= 4 (Win). Cannot determine uniquely. Statements together are not sufficient.

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