There are seven students A, B, C, D, E, F and G, who have got highest marks in aggregate in a class. They are ranked as 1 to 7 (not necessarily in the same order). F has neither got highest nor lowest rank. D has got one rank higher than B. There are three students who have got higher marks than C and G is one of them. A has got higher rank than G but not the highest one. Which students have got the highest and the lowest rank?

Question

There are seven students A, B, C, D, E, F and G, who have got highest marks in aggregate in a class. They are ranked as 1 to 7 (not necessarily in the same order). F has neither got highest nor lowest rank. D has got one rank higher than B. There are three students who have got higher marks than C and G is one of them. A has got higher rank than G but not the highest one. Which students have got the highest and the lowest rank?

C & B
E & B
F & C
G & D

LohaHridoy

9 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : E & B

Seven students: A, B, C, D, E, F and G.

Rank: 1 to 7

1) F has neither got highest nor lowest rank.

2) D has got one rank higher than B.

3) There are three students who have got higher marks than C and G is one of them.

So, C has got 4^th rank.

Also, possible pairs for G are 1, 2 or 3.

Possible pairs for F are 2, 3, 5 or 6.

Rank	Students
1
2
3
4	C
5
6
7

4) A has got higher rank than G but not the highest one.

Since, possible pairs for G are 1, 2 or 3 but A got higher rank than G but not the highest one.

This means, A has got 2^nd rank and G has got 3^rd rank.

Rank	Students
1
2	A
3	G
4	C
5
6
7

Now, as per information no. 2, two cases arise:

CASE I:

Rank	Students
1
2	A
3	G
4	C
5	D
6	B
7

In this case, now we have two options for F i.e. rank 1 or rank 7. But as per information 1, this can’t be possible. Thus, case I gets eliminated.

CASE II:

Rank	Students
1
2	A
3	G
4	C
5
6	D
7	B

As per information no. 1, only option left for F is rank 5 and option left for E is rank 1. This can be possible. Therefore, final table is as follows:

Rank	Students
1	E
2	A
3	G
4	C
5	F
6	D
7	B

Hence, E has got the highest rank and B has got the lowest rank among seven students.