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 ? How much marks did Jitendra get in an examination? (I) Average marks of all students excluding Jitendra is 88 whereas average marks of all students including Jitendra is 89. (II) Average marks of all students excluding Jitendra and Umesh is 87.9.

  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 together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives us two equations but introduces unknowns: let n be total students and J be Jitendra's marks. We get S = 88(n-1) and S+J = 89n, which simplifies to J = n + 88. Without knowing n (total students), we cannot find J. Statement II gives average excluding Jitendra AND Umesh as 87.9, introducing yet another unknown (Umesh's marks). Even combining both statements, we have insufficient information to determine Jitendra's marks uniquely.

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