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Seven students – P, Q, R, S, T, U, and V got the highest marks in Mathematics test among all students. Their marks out of 50 are 40, 42, 45, 46, 48, 50 (not necessarily in the same order). Two students have got the same marks as 46. P has neither got the lowest marks nor 46. Q has got the highest marks. U has got higher marks than P. R has got lower marks than T whereas T got lower than P. S has got lower marks than U. Who among the following has got the same marks as 46?

Seven students – P, Q, R, S, T, U, and V got the highest marks in Mathematics test among all students. Their marks out of 50 are 40, 42, 45, 46, 48, 50 (not necessarily in the same order). Two students have got the same marks as 46. P has neither got the lowest marks nor 46. Q has got the highest marks. U has got higher marks than P. R has got lower marks than T whereas T got lower than P. S has got lower marks than U. Who among the following has got the same marks as 46? Correct Answer S & V

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

Marks: 40, 42, 45, 46, 48 & 50 (not necessarily in the same order).

1) Two students have got the same marks as 46.

2) P has not got the lowest marks nor 46.

Possible options for P are 42, 45, 48.

3) Q has got the highest marks.

MARKS

STUDENTS

50

Q

48

 

46

 

46

 

45

 

42

 

40

 

 

4) U has got higher marks than P.

Possible options for U are 45, 48, 46.

So, now only two options left for P i.e. 42, 45.

5) R has got lower marks than T whereas T got lower marks than P.

This means both R and T have got lower marks than P.

So, P has got 45 marks.

MARKS

STUDENTS

50

Q

48

 

46

 

46

 

45

P

42

T

40

R

 

6) S has got lower marks than U.

Since S has got lower marks than U and not the same, possible options for U are 48, 46. So, U’s marks are 48 and hence S’s marks are 46.

MARKS

STUDENTS

50

Q

48

U

46

S

46

 

45

P

42

T

40

R

 

The only option left for V is 46.

Thus, V has also got 46 marks.

MARKS

STUDENTS

50

Q

48

U

46

S

46

V

45

P

42

T

40

R

 

Hence, S and V both have got the same marks as 46. 

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