Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Who among P, Q, T, V and Mis exactly in the middle when they are arranged in ascending order of their heights ?
I. V is taller than Q but shorter than M.
II. T is taller than Q and M but shorter than P.

Options

A. if the 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
B. if the 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
C. if the data either in statement I alone or in statement Il alone are sufficient to answer the question
D. if the data in both statements I and II together are necessary to answer the question.

Answer

D

Explanation

From statement I:
`M gt V gtQ`.
But there is no information regarding P and T. So, statement I alone is not sufficient.
From statement II :
`T gt Q, T gt M, P gtT`.
But there is no information regarding V. So, statement II alone is not sufficient.
Combining I & II, we get
`P gt T gt M gt V gt Q`
i.e. `Q lt V lt M lt T lt P`
(last) (Middle) (first)
So, .M. is in the middle.
Therefore, the data in both the statements I and II together are necessary to answer the given question.