Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Logical and Analytical Reasoning

Topic

Syllogism

Question:

Decide whether the data provided in the statements are sufficient to answer.

Question : Who among A, B, C, D and E is exactly in the middle when they are arranged in ascending order of their heights ?

Statements :
I. D is taller than B but shorter than E.
II. C is taller than B and E but shorter than A.

Options:

I statement alone is sufficient while II alone is not sufficient

II statement alone is sufficient while I alone is not sufficient

Either I or II is sufficient

Both I and II are sufficient

Correct Answer:

Both I and II are sufficient

Explanation:

From Statement I, we know that D is taller than B but shorter than E. This gives us some information about the relative positions of D, B, and E.

From Statement II, we know that C is taller than B and E. This gives us some more information about the relative positions of C, B, and E.

So,

D is in the middle (since it's taller than B but shorter than E)

C is taller than B and E, so it can't be in the middle

A must be the tallest (since C is not the tallest)

So, the only person who can be exactly in the middle is D.

Thus, both statements together are sufficient to answer the question.