## Ranking Test

#### Ranking Test

Direction: Read the following information carefully and answer the question that follow.
I. Seven students P, Q, R, S, T, U and V take a series of tests.
II. No two students get similar marks.
III. V always scored more than P.
IV. P always scored more than Q.
V. Each time either R scored the highest and T gets the least or alternatively S scores the highest and U or Q scores the least.

1. If S is ranked sixth and Q is ranked fifth, which of the following can be true ?

1. According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

##### Correct Option: D

According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

If S is ranked 6th and Q is ranked 5th , we have
O > O > O > O > Q > S > O
In this case, R will rank the highest and thus T will rank the least.
we have, R > O > O > O > Q > S > T
Also, the order V > P > Q will be maintained
The possible arrangement are
R > U > V > P > Q > S > T
or R > V > U > P > Q > S > T
or R > V > P > U > Q > S > T
Thus, option (d),i.e, U can be ranked third or fourth is true.

1. If R is ranked second and Q is ranked fifth, which of these must be true ?

1. According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

##### Correct Option: D

According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

If R is ranked 2nd, S will rank 1st and Q or U lowest but Q ranks 5th. so, U ranks lowest. Also, the order V > P > Q will be followed.
∴ Arrangement
S > R > V > P > Q > T > U
1   2     3     4     5     6     7
Hence, 6th place will be occupied by T.

1. Information given in which of the statement is superfluous ?

1. According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

##### Correct Option: D

According to question,
V always scored more than P.
V > P
P always scored more than Q.
P > Q
? V > P > Q

If R Score highest, we have
R >.......> T
If S Score highest, we have
S >.......> Q or S >.......> U

All are needed.