5 students P Q R S and T were standing according to their heights with the shortest one being at th...........

Logical Reasoning(Master ) Data Sufficiency

5 students P, Q, R, S and T were standing according to their heights with the shortest one being at the left most corner and highest one being at the right end.

I. Q was standing between R and P. S was standing at the right end of the line.

II. T did not have the greatest height of all. P had more height than only R and Q.

III. R, Q, P all were shorter than T.

Who was the 4th highest among all five students?

Statement (I) and Statement (II) together are sufficient.

Statement (II) and Statement (III) together are sufficient.

Either statement (I) and statement (III) together or statement (II) is sufficient

All the statement (I), statement (II) and statement (III) together are sufficient.

None is sufficient

छोटे Courses बड़े Results

Master Data Sufficiency

Prepare through Micro-courses

Try Now

Explanation:

Statement I: I Q was standing between R and P. S was standing at the right end of the line.
Reference:
S was standing at the right end of the line.
As it is given shortest one is sitting at extreme left and highest one is sitting at extreme right end and given reference is that S was standing at the right end of the line. So, S will be standing at extreme right end.
_ < _ < _ < _ < S
Reference:
Q was standing between R and P.
With this piece of information, we can clearly see that there are two cases possible.
Case 1:
_ < R/P < Q < P/R < S
Case 2:
R/P < Q < P/R < _ < S
Hence, Statement I is not sufficient
Statement II: T did not have the greatest height of all. P had more height than only R and Q.
References:
P had more height than only R and Q.
T did not have the greatest height of all.

R/Q < Q/R < P < T < _Hence, only II statement is sufficient.
Statement III: R, Q, P all were shorter than T.
Reference:

R, Q, P all were shorter than T.
R/Q/P < Q/P/R < P/R/Q < T
Combining statements I and III, we get:
R/P < Q < P/R < T < S
Hence, statements I and III are sufficient.