CAT 2025 Lesson : Ranking - Cases 1 to 3

A group of nine runners will finish the 400 meters race in a certain order. The runners are: Ashok, Benjamin, Chetan, Divya, Eshant, Faneesh, Girish, Himani, and Irravaty. They all finish at different times, and their finishing order is as follow:

$\bullet$ Faneesh finishes before Ashok
$\bullet$ Divya finishes before Benjamin and Eshant
$\bullet$ Irravaty finishes after Chetan
$\bullet$ Girish finishes after Ashok

Which is the best position Girish can finish?
[XAT 2014]

(1) First
(2) Second
(3) Third
(4) Fourth
(5) Fifth

Solution

Let's use letters to represent the children for convenience and short notes. Ranks assigned are 1 for the better rank and 9 for the least.

Ashok - A; Benjamin - B; Chetan - C; Divya - D; Eshant - E; Girish - G; Himani - H; Irravaty - I.



Statement (4) can be linked with statement (1), where F > A > G. From this we can say that F is ranked 1, A is ranked 2 and G is ranked 3.

Answer: (3) Third

Directions for questions 4 to 6: Answer the questions based on the passage below.

Among Anil, Bibek, Charu, Debu, and Eswar, Eswar is taller than Debu but not as fat as Debu. Charu is taller than Anil but shorter than Bibek. Anil is fatter than Debu but not as fat as Bibek. Eswar is thinner than Charu, who is thinner than Debu. Eswar is shorter than Anil. Who is the thinnest person?
[IIFT 2008]

(1) Bibek
(2) Charu
(3) Debu
(4) Eswar

Solution

Let's use letters to represent the children for convenience and short notes. Ranks assigned are 1 for the better rank and 5 for the least.

Anil - A; Bibek - B; Charu - C; Debu - D; Eswar - E.



Statement (3) and (4) can be linked together, where B > A > D > C > E. Therefore, E is the thinnest person among from all.

Answer:(4) Eswar

Mrs. Ranga has three children and has difficulty remembering their ages and the months of their birth. The clues below may help her remember.

A. The boy, who was born in June, is 7 years old.
B. One of the children is 4 years old, but it is not Anshuman.
C. Vaibhav is older than Supriya.
D. One of the children was born in September, but it was not Vaibhav.
E. Supriya's birthday is in April.
F. The youngest child is only 2 years old.

Based on the above clues, which one of the following statements is true?
[CAT 2001]

(1) Vaibhav is the oldest, followed by Anshuman who was born in September, and the youngest is Supriya who was born in April.
(2) Anshuman is the oldest being born in June, followed by Supriya who is 4 years old, and the youngest is Vaibhav who is 2 years old.
(3) Vaibhav is the oldest being 7 years old, followed by Supriya who was born in April, and the youngest is Anshuman who was born in September.
(4) Supriya is the oldest who was born in April, followed by Vaibhav who was born in June, and Anshuman who was born in September

Solution

Let's use letters to represent the children for convenience and short notes.

Anshuman - A; Supriya - S; Vaibhav - V.



- From statement (3), V > S (Age).

- From statement (4), S = April &



- From statement (4), V = June.



Since A ≠ 4(Age) then it should be S.



Conclusive table



Therefore, option (3) is the correct choice.

Answer: (3) Vaibhav is the oldest being 7 years old, followed by Supriya who was born in April, and the youngest is Anshuman who was born in September.