Question

Eight persons - Andy, Bonnie, Cathy, Daniel, Evans, Frank, Gary and Harry who got different marks are comparing their marks. We know the following information regarding their marks. (A) Andy got more marks than Bonnie and the number of persons who got less marks than Andy is the same as the number of persons who got more marks than Bonnie. (B) Cathy got more marks than Daniel, but less marks than Evans. (C) Frank got the fifth highest marks. (D) Gary got more marks than Harry, who did not get the lowest marks. (E) Daniel got more marks than Gary. Who got the second highest score? *
O Daniel Evans O Cathy O Andy​

Answer 1

GIven: Eight persons - Andy, Bonnie, Cathy, Daniel, Evans, Frank, Gary, and Harry who got different marks are comparing their marks.

To find: Who got the second-highest score?

Solution:

Know that from the question,

(A) Andy got more marks than Bonnie and the number of persons who got less marks than Andy is the same as the number of persons who got more marks than Bonnie.

Understand that, there are four possibilities for Annie and Bonnie's marks given as follows:

1. _>_>_>Andy>Bonnie>_>_>_
2. _>_>Andy>_>_>Bonnie>_>_
3. _>Andy>_>_>_>_>Bonnie>_
4. Andy>_>_>_>_>_>_>Bonnie

(B) Cathy got more marks than Daniel, but less marks than Evans.

Evans>Cathy>Daniel

(C) Frank got the fifth highest marks.

1. _>_>_>Andy>Bonnie>_>_>_(not possible as Bonnie is in 5th place so this possibility is eliminated).
2. _>_>Andy>_>Frank>Bonnie>_>_
3. _>Andy>_>_>Frank>_>Bonnie>_
4. Andy>_>_>_>Frank>_>_>Bonnie

(D) Gary got more marks than Harry, who did not get the lowest marks.

(E) Daniel got more marks than Gary.

• Evans>Cathy>Andy>Daniel>Frank>Bonnie>Gary>Harry (Understand that this possibility is eliminated as Harry did not get the lowest marks)

• Evans>Andy>Cathy>Daniel>Frank>Gary>Bonnie>Harry (Understand that this possibility is eliminated as Harry did not get the lowest marks)

• Andy>Evan>Cathy>Daniel>Frank>Gary>Harry>Bonnie

Understand that the above possibility is the only one that satisfies the given conditions.

Therefore, the correct ascending order for the eight person's marks is as follows:

Andy>Evan>Cathy>Daniel>Frank>Gary>Harry>Bonnie

Observe the above order that, the person that got second-highest mark is Evan.

Andy>EVAN>Cathy>Daniel>Frank>Gary>Harry>Bonnie

Therefore, Evan got second-highest marks.

Hence, the correct answer is option (b). i.e., Evan.