Question: What is Sachin's rank from the top in a class of 25 students?…

2024

Question: What is Sachin's rank from the top in a class of 25 students?

Statements:

Sachin ranks three ranks above Amit who ranks 18th from the bottom.

Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

  1. A.

    I alone is sufficient while II alone is not sufficient

  2. B.

    II alone is sufficient while I alone is not sufficient

  3. C.

    Either I or II is sufficient

  4. D.

    Neither I nor II is sufficient

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Concept:

In a data-sufficiency ranking problem, a 'rank from the bottom' clue converts to a 'rank from the top' via: rank from top = total students − rank from bottom + 1. Once that conversion is done, any stated relative offset ('n ranks above/below') fixes an exact position. A statement is independently sufficient whenever this conversion plus its offset yields one determinate value for the quantity asked — nothing more is needed from that statement.

Application — Statement I:

  1. Class size = 25; Amit's rank from the bottom = 18, so Amit's rank from the top = 25 − 18 + 1 = 8.

  2. Sachin ranks three ranks above Amit, so Sachin's rank from the top = 8 − 3 = 5.

  3. This is a single determinate value, so Statement I alone answers the question.

Application — Statement II:

  1. Deepti's rank from the bottom = 23, so Deepti's rank from the top = 25 − 23 + 1 = 3.

  2. Sachin's rank from the top is two ranks below Deepti's, so Sachin's rank from the top = 3 + 2 = 5.

  3. This is also a single determinate value, so Statement II alone answers the question.

Cross-check:

Both statements, used independently, produce the identical rank for Sachin, confirming each is sufficient on its own — so the correct classification is that either statement alone is sufficient to answer the question.

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