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

A question and three statements labelled (I), (II) and (IID) 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.

A.

Statements I and III together are sufficient.

B.

Statements I, II and III are insufficient.

C.

Statements I, II and III are sufficient.

D.

Statements I and II together are sufficient.

Correct option is D

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.
Logic:
I. A is taller than E but shorter than D.
=> D > A > E ------------(i)
Thus statement I alone is not sufficient.
II. B is shorter than C but taller than E.
=> C > B > E  ------------(ii)
Thus statement II alone is not sufficient.
III. D is taller than C and A is taller than B.
=> D > C and A > B  ------------(iii)
Thus statement III alone is not sufficient.
Now, From Statements I and II: 
_ > _ > _ > _ > E
So this is sufficient to answer.
Hence, the correct answer is  'Statements I and II together are sufficient'.

Thus, correct option is (d).


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