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A question and three statements labelled (I), (II) and (III) are given. You have to decide which statement(s) is/are sufficient to answer the question.

Question: Who is the shortest among A, B, C, D and E?

Statements:

I. A is taller than E but shorter than D.

II. B is shorter than C but taller than E.

III. D is taller than C and A is taller than B.

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NTPC CBT-I (Held On: 4 Jan 2021 Shift 2)
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  1. Statements I and III together are sufficient.
  2. Statements I and II together are sufficient.
  3. Statements I, II and III are sufficient.
  4. Statements I, II and III are insufficient.

Answer (Detailed Solution Below)

Option 2 : Statements I and II together are sufficient.
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Detailed Solution

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Persons: A, B, C, D, and E.

I. A is taller than E but shorter than D.

D > A > E 

II. B is shorter than C but taller than E.

C > B > E

III. D is taller than C and A is taller than B.

D > C and A > B

Option 1: combining statements I and III:

D > A > E  and D > C and A > B

D > _  >  _ >  _  >  _  

We will not get any result by combining the two statements.
 
Option 2: combining statements I and II:
 
D > A > E  and C > B > E
 

_ > _  >  _ >  _  >  E 

E is the shortest among all the five. So this is sufficient to answer.

Option 3: combining statements I, II, and III:
 

D > C/A > A/C > B > E

Now, we can say that E is the shortest among A, B, C, D and E. Statements I, II, and III are sufficient.

Note: There is a discrepancy in the original question and marked options.

When statements 1 and 2 combinedly give the answer then obviously with the help of statement 3 we can also give the answer, but we need to choose the minimum statement required to give the answer.

Hence, Statements I and II together are sufficient is the correct answer.

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