Each of the statement consist of two statements I and II. You have to decide…

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 Each of the statement consist of two statements I and II. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statement and give the appropriate answer.

Among five friends S, T, U, V and W who is 3rd heaviest?

Statement I: S is the heaviest among all the five friends. Second lightest one having a weight of 58 kg.

Statement II: T is the lightest among all the five friends. W is heavier than 58 kg, but lighter than V.

  1. A.

    Data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

  2. B.

    Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

  3. C.

    Data even in both the statements I and II are not sufficient to answer the question.

  4. D.

    Data in both the statements I and II together are necessary to answer the question.

Attempted by 55 students.

Show answer & explanation

Correct answer: D

Solution

Given statements:

  • Statement I: S is the heaviest. The second-lightest person has weight 58 kg.

  • Statement II: T is the lightest. W is heavier than 58 kg but lighter than V.

Check statements individually:

  • Statement I alone: knowing S is heaviest and that someone (unknown) is second-lightest with 58 kg leaves multiple possible orders for the other people. Not sufficient.

  • Statement II alone: knowing T is lightest and that V > W > 58 does not fix who is second-lightest or the full order. Not sufficient.

Combine both statements and deduce the unique order:

  • From Statement I: S is the heaviest (position 1).

  • From Statement II: T is the lightest (position 5).

  • The second-lightest is position 4 and has weight 58 kg. W is heavier than 58, so W cannot be position 4.

  • Also W is lighter than V, so V must be placed above W. The only arrangement consistent with all constraints is:

  • S (heaviest) > V > W > (second-lightest, 58 kg) > T (lightest)

Therefore the third-heaviest person is W. Both statements together are necessary to reach this unique ordering.

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