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Seven students Priya, Ankit, Raman, Suni...

Seven students Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time either Raman scores the highest and Tony gets the least, or alternatively Sunil scores the highest and Deepak or Ankit scores the least.
if Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true ?

A

S is ranked third

B

T is ranked sixth

C

P is ranked sixth

D

V is ranked fourth

Text Solution

Verified by Experts

The correct Answer is:
B

We see that there is no information. Sentence (5) gives a definite information but is conditional . Still , we draw all the possibilities based on this sentence : (a) R __ __ __ __ __ T
or (b) S __ __ __ __ __ U
or (c) S __ __ __ __ __ Q
We see that two additional informations (3) and (4) are inadequate to reach a definite conclusion. Hence, Keeping these in mind, we move on to the questions.
R is ranked second means possibility (a) is false. Hence, the possibilities (b) and (c) remain. Now, Q is ranked fifth means possibility (c) is false. Hence, possibility (b) remains:
S R ___ ___ Q ___ U
Now, by virtue of (3) and (4), we must have V and P before Q in that order. Consequently the sixth place would go to the only letter remaining, viz. T. Hence,
S R V P Q T U
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