A question is given, followed by two statements labelled I and II. Decide which of the statements is/are sufficient/necessary to answer the question and select the correct answer.

Question:

Who is the shortest among Shamita, Tanya and Rekha?

Statements:

I. Shamita is taller than Rekha. Rekha is shorter than Tanya.

II. Rekha is shorter than Surbhi. Surbhi is taller than Shamita. Tanya is shorter than Surbhi.

(A) Statement I alone is sufficient to answer the question, whereas Statement II alone is not sufficient to answer the question.

(B) Statement II alone sufficient to answer the question, whereas statement I alone is not sufficient to answer the question.

(C) Both statements I and II together are not sufficient to answer the question.

(D) Both statements I and II together are necessary to answer the question.

This question was previously asked in
RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 3)
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  1. C
  2. A
  3. D
  4. B

Answer (Detailed Solution Below)

Option 2 : A
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Detailed Solution

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Explanation:

Statement 1: Shamita is taller than Rekha. Rekha is shorter than Tanya.

  • This implies Rekha < Tanya /Shamita.
    • ​The shortest person is Rekha as per Statement 1.

Statement 2:

  • Rekha is shorter than Surbhi.
    • Rekha < Surbhi
  • Surbhi is taller than Shamita.
    • Surbhi < Shamita
  • Tanya is shorter than Surbhi.
    • Tanya < Surbhi 
  • Combining all these,
    • Rekha / Tanya < Surbhi < Shamita
    • The shortest person can't be determined as per Statement 2.

Hence, A is the correct answer.

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