Question

There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has is a prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?

• A. P
• B. Q
• C. S
• D. T

Answer 1

Answer:

D. T

Students: P, Q, R, S, T and U.

No. of pens: 2, 4, 5, 7, 9 and 12 (not necessarily in the same order).

1) The number of pens Q has is a prime number.

Student	No. of Pen
P
Q	2/5/7
R
S
T
U

 

2) U has 2 more pens than Q.

Student	No. of Pen
P
Q	2/5/7
R
S
T
U	4/ 7/ 9

 

3) The number of pens R has is a multiple of 4 but not a multiple of 3.

(So, R has 4 pens only.)

Student	No. of Pen
P
Q	5/7
R	4
S
T
U	7/ 9

 

4) P has fewer pens than Q but has more pens than S.

(P cannot have 2 pens as S has fewer pens than P.

So, P has 5 pens and S has 2 pens.)

Student	No. of Pen
P	5
Q	7
R	4
S	2
T
U	9

 

(So, T has 12 pens.)

Final arrangement:

Student	No. of Pen
P	5
Q	7
R	4
S	2
T	12
U	9

 

Hence, T has the highest number of pens.