Order and ranking - 1 || Logical reasoning || CAT 2021 || 20 May for CAT & MBA Exams

Question 1

Direction: In a class, four students – Aman, Bob, Chelsea and Diksha – got the top four ranks in three subjects, Biology, Physics and Chemistry, such that no two of them got the same rank in a subject and no student got the same rank in any two subjects. We know the following information:

i. The student who got the first rank in Biology got the fourth rank in Physics.

ii. The student who got the second rank in Chemistry got the third rank in Physics.

iii. Aman got the second rank in Physics.

What rank did Aman get in Biology?

Question 2

Direction: In a class, four students – Aman, Bob, Chelsea and Diksha – got the top four ranks in three subjects, Biology, Physics and Chemistry, such that no two of them got the same rank in a subject and no student got the same rank in any two subjects. We know the following information:

i. The student who got the first rank in Biology got the fourth rank in Physics.

ii. The student who got the second rank in Chemistry got the third rank in Physics.

iii. Aman got the second rank in Physics.

If the absolute difference between the ranks of Aman and Diksha in Chemistry is three, then what is the absolute difference between their ranks in Biology?

Question 3

Direction: In a class, four students – Aman, Bob, Chelsea and Diksha – got the top four ranks in three subjects, Biology, Physics and Chemistry, such that no two of them got the same rank in a subject and no student got the same rank in any two subjects. We know the following information:

i. The student who got the first rank in Biology got the fourth rank in Physics.

ii. The student who got the second rank in Chemistry got the third rank in Physics.

iii. Aman got the second rank in Physics.

Among the following what CAN be the sum of ranks of Chelsea in all the subjects?

Question 4

Direction: In a class, four students – Aman, Bob, Chelsea and Diksha – got the top four ranks in three subjects, Biology, Physics and Chemistry, such that no two of them got the same rank in a subject and no student got the same rank in any two subjects. We know the following information:

i. The student who got the first rank in Biology got the fourth rank in Physics.

ii. The student who got the second rank in Chemistry got the third rank in Physics.

iii. Aman got the second rank in Physics.

If Aman’s rank in Biology is same as Bob’s rank in Chemistry, then what rank did Bob get in Physics?

Question 5

Read the details below and answer the questions that follow.
Due to astrological reasons, a mother named all her daughters with the alphabet ‘K’ as Kamla, Kamlesh, Kriti, Kranti, Kripa and Kalpana.
i. Kamla is not the tallest while Kriti is not the most qualified.
ii. The Shortest is the most qualified amongst them all.
iii. Kalpana is more qualified than Kamlesh who is more qualified than kriti.
iv. Kamla is less qualified than Kamlesh but is taller than Kamlesh.
v. Kalpana is shorter than Kriti but taller than Kranti.
vi. Kriti is more qualified than Kamla while Kamlesh is taller than Kriti.
vii. Kripa is the least qualified amongst the daughters.

Who is the third tallest starting in decreasing order of height?

Question 6

Read the details below and answer the questions that follow.
Due to astrological reasons, a mother named all her daughters with the alphabet ‘K’ as Kamla, Kamlesh, Kriti, Kranti, Kripa and Kalpana.
i. Kamla is not the tallest while Kriti is not the most qualified.
ii. The Shortest is the most qualified amongst them all.
iii. Kalpana is more qualified than Kamlesh who is more qualified than kriti.
iv. Kamla is less qualified than Kamlesh but is taller than Kamlesh.
v. Kalpana is shorter than Kriti but taller than Kranti.
vi. Kriti is more qualified than Kamla while Kamlesh is taller than Kriti.
vii. Kripa is the least qualified amongst the daughters.

What is the rank of Kriti in increasing order of qualification?

Question 7

Read the details below and answer the questions that follow.
Due to astrological reasons, a mother named all her daughters with the alphabet ‘K’ as Kamla, Kamlesh, Kriti, Kranti, Kripa and Kalpana.
i. Kamla is not the tallest while Kriti is not the most qualified.
ii. The Shortest is the most qualified amongst them all.
iii. Kalpana is more qualified than Kamlesh who is more qualified than kriti.
iv. Kamla is less qualified than Kamlesh but is taller than Kamlesh.
v. Kalpana is shorter than Kriti but taller than Kranti.
vi. Kriti is more qualified than Kamla while Kamlesh is taller than Kriti.
vii. Kripa is the least qualified amongst the daughters.

What is the rank of Kamla in increasing order of height?

Question 8

Directions: Each of the 4 athletes – J, B, L and P competed in tourbament with different events in race of 100m, 200m, 400m and 800m. In each event these 4 finished in the top 4 positions and none finished any two events in the same position.
â Athlete who finished first in 100m finished 4^th in 800m
â Athlete who finished 2^nd in 200m finished 3^rd in 400m and 1^st in 800m
â B finished 2^nd in 100m and L is not the last one to finish in 200m
â J finished after B in 200m and 800m

Who is the 4^th to finish 200m race?

Question 9

Directions: Each of the 4 athletes – J, B, L and P competed in tourbament with different events in race of 100m, 200m, 400m and 800m. In each event these 4 finished in the top 4 positions and none finished any two events in the same position.
â Athlete who finished first in 100m finished 4^th in 800m
â Athlete who finished 2^nd in 200m finished 3^rd in 400m and 1^st in 800m
â B finished 2^nd in 100m and L is not the last one to finish in 200m
â J finished after B in 200m and 800m

Who is the first to finish 400m race?

Question 10

Directions: Each of the 4 athletes – J, B, L and P competed in tourbament with different events in race of 100m, 200m, 400m and 800m. In each event these 4 finished in the top 4 positions and none finished any two events in the same position.
â Athlete who finished first in 100m finished 4^th in 800m
â Athlete who finished 2^nd in 200m finished 3^rd in 400m and 1^st in 800m
â B finished 2^nd in 100m and L is not the last one to finish in 200m
â J finished after B in 200m and 800m

Who is the 3^rd to finish 800m?