Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? The marks obtained by Ankit in English is 15 more than his average marks in English, Maths, Geography and Science. How many marks did he get in Science? I. He got total 120 marks in English and Science. II. The difference between his marks in Geography and Maths is 120.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let E, M, G, S be marks in English, Maths, Geography, Science. Given: E = (E+M+G+S)/4 + 15, which simplifies to 3E = M + G + S + 60. Statement I: E + S = 120, giving S = 120 - E. Substituting: 3E = M + G + 120 - E + 60, or 4E = M + G + 180. Two unknowns remain. Statement II: |G - M| = 120. Even with both statements, we cannot uniquely determine M and G (could be M=0, G=120 or M=120, G=0 or many other combinations). Thus, data is insufficient.

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