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Practice set - 1 || Logical Reasoning || CAT 2021 || 27 April (App update required to attempt this test)

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Question 1

Direction: The 70 members of Cure Fit gymnasium were advised to buy health drinks from the gym's health centre. The available health drinks were Apple juice, Cranberry juice, Orange juice and Grape juice. None of them bought more than 2 drinks. No member who bought Apple juice also bought Grape juice. No member who bought Orange juice also bought Cranberry juice. The ratio of the number of members who bought one juice to the number of members who bought two drinks is 13:10 . 21 members bought Cranberry juice and 22 members bought Orange juice. 14 members bought only Apple juice and 12 members bought only Grape juice. The number of members who bought both Apple juice and Orange juice is 3 . The difference between the number of members who bought both Apple juice and Cranberry juice and the number of members who bought both Cranberry juice and Grape juice is 2 . Similarly the difference between the number of members who bought both Cranberry juice and Grape juice and the number of members who bought both Orange juice and Grape juice is 2 . The laziest member of the gym did not buy any drink, rest all bought at least one drink out of the available drinks.

How many members bought both Cranberry juice and Grape juice?

Question 2

Direction: The 70 members of Cure Fit gymnasium were advised to buy health drinks from the gym's health centre. The available health drinks were Apple juice, Cranberry juice, Orange juice and Grape juice. None of them bought more than 2 drinks. No member who bought Apple juice also bought Grape juice. No member who bought Orange juice also bought Cranberry juice. The ratio of the number of members who bought one juice to the number of members who bought two drinks is 13:10 . 21 members bought Cranberry juice and 22 members bought Orange juice. 14 members bought only Apple juice and 12 members bought only Grape juice. The number of members who bought both Apple juice and Orange juice is 3 . The difference between the number of members who bought both Apple juice and Cranberry juice and the number of members who bought both Cranberry juice and Grape juice is 2 . Similarly the difference between the number of members who bought both Cranberry juice and Grape juice and the number of members who bought both Orange juice and Grape juice is 2 . The laziest member of the gym did not buy any drink, rest all bought at least one drink out of the available drinks.

How many members bought either Apple juice or Cranberry juice?

Question 3

Direction: The 70 members of Cure Fit gymnasium were advised to buy health drinks from the gym's health centre. The available health drinks were Apple juice, Cranberry juice, Orange juice and Grape juice. None of them bought more than 2 drinks. No member who bought Apple juice also bought Grape juice. No member who bought Orange juice also bought Cranberry juice. The ratio of the number of members who bought one juice to the number of members who bought two drinks is 13:10 . 21 members bought Cranberry juice and 22 members bought Orange juice. 14 members bought only Apple juice and 12 members bought only Grape juice. The number of members who bought both Apple juice and Orange juice is 3 . The difference between the number of members who bought both Apple juice and Cranberry juice and the number of members who bought both Cranberry juice and Grape juice is 2 . Similarly the difference between the number of members who bought both Cranberry juice and Grape juice and the number of members who bought both Orange juice and Grape juice is 2 . The laziest member of the gym did not buy any drink, rest all bought at least one drink out of the available drinks.

How many members bought Grape juice?

Question 4

Direction: The 70 members of Cure Fit gymnasium were advised to buy health drinks from the gym's health centre. The available health drinks were Apple juice, Cranberry juice, Orange juice and Grape juice. None of them bought more than 2 drinks. No member who bought Apple juice also bought Grape juice. No member who bought Orange juice also bought Cranberry juice. The ratio of the number of members who bought one juice to the number of members who bought two drinks is 13:10 . 21 members bought Cranberry juice and 22 members bought Orange juice. 14 members bought only Apple juice and 12 members bought only Grape juice. The number of members who bought both Apple juice and Orange juice is 3 . The difference between the number of members who bought both Apple juice and Cranberry juice and the number of members who bought both Cranberry juice and Grape juice is 2 . Similarly the difference between the number of members who bought both Cranberry juice and Grape juice and the number of members who bought both Orange juice and Grape juice is 2 . The laziest member of the gym did not buy any drink, rest all bought at least one drink out of the available drinks.

If the number of members who bought only Orange juice is more than the number of members who bought Orange juice along with another drink, then how many members bought Apple juice?

Question 5

Direction: Study the following information and answer the given questions.

Six captains of six cricket teams wearing jerseys of six different colors are to sit around a circular table on six equally spaced chairs such that they face each other. Each team has exactly one captain and each captain wears jersey of a different color. It is also known that –

(i) Shikhar, the captain of team F is the only person who will sit between Virat and Mahendra, the captain of team C.

(ii) Rahul, the captain of Team B, Rohit and the person wearing green-colored jersey will sit on alternate places.

(iii) Person wearing brown-colored jersey will sit second to the left of the person wearing blue-colored jersey.

(iv) The captains who wear jerseys of Black, Red and Yellow colors will sit on alternate places.

(v) Ajinkya, captain of Team D, wearing black-colored jersey will sit in front of Shikhar.

(vi) Virat, the captain of Team E will sit in front of the captain of Team A.

Answer the following questions on the basis of all the information given above.

The colors of the jerseys of how many captains cannot be determined?

Question 6

Direction: Study the following information and answer the given questions.

Six captains of six cricket teams wearing jerseys of six different colors are to sit around a circular table on six equally spaced chairs such that they face each other. Each team has exactly one captain and each captain wears jersey of a different color. It is also known that –

(i) Shikhar, the captain of team F is the only person who will sit between Virat and Mahendra, the captain of team C.

(ii) Rahul, the captain of Team B, Rohit and the person wearing green-colored jersey will sit on alternate places.

(iii) Person wearing brown-colored jersey will sit second to the left of the person wearing blue-colored jersey.

(iv) The captains who wear jerseys of Black, Red and Yellow colors will sit on alternate places.

(v) Ajinkya, captain of Team D, wearing black-colored jersey will sit in front of Shikhar.

(vi) Virat, the captain of Team E will sit in front of the captain of Team A.

Answer the following questions on the basis of all the information given above.

For how many teams, among the six, can the names of their captains be determined?

Question 7

Direction: Study the following information and answer the given questions.

Six captains of six cricket teams wearing jerseys of six different colors are to sit around a circular table on six equally spaced chairs such that they face each other. Each team has exactly one captain and each captain wears jersey of a different color. It is also known that –

(i) Shikhar, the captain of team F is the only person who will sit between Virat and Mahendra, the captain of team C.

(ii) Rahul, the captain of Team B, Rohit and the person wearing green-colored jersey will sit on alternate places.

(iii) Person wearing brown-colored jersey will sit second to the left of the person wearing blue-colored jersey.

(iv) The captains who wear jerseys of Black, Red and Yellow colors will sit on alternate places.

(v) Ajinkya, captain of Team D, wearing black-colored jersey will sit in front of Shikhar.

(vi) Virat, the captain of Team E will sit in front of the captain of Team A.

Answer the following questions on the basis of all the information given above.

Who will sit second to the right of Mahendra?

Question 8

Direction: Study the following information and answer the given questions.

Six captains of six cricket teams wearing jerseys of six different colors are to sit around a circular table on six equally spaced chairs such that they face each other. Each team has exactly one captain and each captain wears jersey of a different color. It is also known that –

(i) Shikhar, the captain of team F is the only person who will sit between Virat and Mahendra, the captain of team C.

(ii) Rahul, the captain of Team B, Rohit and the person wearing green-colored jersey will sit on alternate places.

(iii) Person wearing brown-colored jersey will sit second to the left of the person wearing blue-colored jersey.

(iv) The captains who wear jerseys of Black, Red and Yellow colors will sit on alternate places.

(v) Ajinkya, captain of Team D, wearing black-colored jersey will sit in front of Shikhar.

(vi) Virat, the captain of Team E will sit in front of the captain of Team A.

Answer the following questions on the basis of all the information given above.

Who will sit in front of Rohit?

Question 9

Direction: Answer the questions based on the following information.
A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place.
If C and B are together, then which of the following must be necessarily false?

Question 10

Directions: In a class of 150 students, 50 students passed in Mathematics, 40 students failed only in Chemistry and 20 students failed in both the subjects.
How many students passed in both the subjects?
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Apr 27CAT & MBA