Directions: Each of the questions below consists of a question and two or three statements given below It. You have to decide whether the data provided in the statements are sufficient to answer the question
15) Among P, T, J, F and L who scored the highest?
I) P scored less than J and F,
II) T scored more than F but less than L.
III) J has not scored the highest.
1) Only I and II
2) Only I and III
3) Only II and either I or III
4) Only I and either II or III
5) All I, II and III

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 given in both statements I and II together are not sufficient to answer the question

Answer

D

Explanation

From statement I:
`J, F gt P` ....(i)
From statement II :
`T gt F` ....(ii)
`L gt T` ....(iii)
Combining (i), (ii) & (iii), we get
`L gt Tgt F gt P` ....(iv)
` J gt P` ....(v)
From statement III :
J has not scored the highest.
From (iv), (v) & (iii), we get
`L gt T gt F gt P`.
`L gt T gt P`.
So, .L. scored the highest.
Therefore, the data in the statements I, II and III together are necessary to answer the given question.