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VENN DIAGRAM- 3 Variable || Logical Reasoning || CAT 2021 || 16 October

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Question 1

Direction: Study the following information carefully and answer the question given below:

In an office there are 170 employees. Each employee uses at least one app out of three – Whatsapp, Facebook and Instagram. The number of employees who uses all three apps is 8. The number of employees who uses only Whatsapp and only Facebook is 24 and 28 respectively. The number of employees who uses both Whatsapp and Facbook but not Instagram is one fourth of the number of employees who uses both Whatsapp and Instagram but not Facebook. The number of employees who uses Whatsapp and Facebook is 92 and 68 respectively.

Find the number of employees who uses both Whatsapp and Instagram but not Facebook.

Question 2

Direction: Study the following information carefully and answer the question given below:

In an office there are 170 employees. Each employee uses at least one app out of three – Whatsapp, Facebook and Instagram. The number of employees who uses all three apps is 8. The number of employees who uses only Whatsapp and only Facebook is 24 and 28 respectively. The number of employees who uses both Whatsapp and Facbook but not Instagram is one fourth of the number of employees who uses both Whatsapp and Instagram but not Facebook. The number of employees who uses Whatsapp and Facebook is 92 and 68 respectively.

How many employees use exactly two apps?

Question 3

Direction: Study the following information carefully and answer the question given below:

In an office there are 170 employees. Each employee uses at least one app out of three – Whatsapp, Facebook and Instagram. The number of employees who uses all three apps is 8. The number of employees who uses only Whatsapp and only Facebook is 24 and 28 respectively. The number of employees who uses both Whatsapp and Facbook but not Instagram is one fourth of the number of employees who uses both Whatsapp and Instagram but not Facebook. The number of employees who uses Whatsapp and Facebook is 92 and 68 respectively.

The number of employees who uses only Whatsapp is what percent of the number of employees who uses only Instagram?

Question 4

Direction: Study the following information carefully and answer the question given below:

In an office there are 170 employees. Each employee uses at least one app out of three – Whatsapp, Facebook and Instagram. The number of employees who uses all three apps is 8. The number of employees who uses only Whatsapp and only Facebook is 24 and 28 respectively. The number of employees who uses both Whatsapp and Facbook but not Instagram is one fourth of the number of employees who uses both Whatsapp and Instagram but not Facebook. The number of employees who uses Whatsapp and Facebook is 92 and 68 respectively.

Find the number of employees who uses Instagram.

Question 5

Direction: Study the following information carefully and answer the question given below:

In an office there are 170 employees. Each employee uses at least one app out of three – Whatsapp, Facebook and Instagram. The number of employees who uses all three apps is 8. The number of employees who uses only Whatsapp and only Facebook is 24 and 28 respectively. The number of employees who uses both Whatsapp and Facbook but not Instagram is one fourth of the number of employees who uses both Whatsapp and Instagram but not Facebook. The number of employees who uses Whatsapp and Facebook is 92 and 68 respectively.

The number of employees who uses Instagram and Facebook is equal to number of employees who uses _____.

Question 6

Direction: Answer the questions based on the information given below.

In a survey of city X, it was found that certain people don't like to visit any of the three religious places: Temple, Church and Gurudwara, and rest people like to visit at least one of these three religious places. Number of people who like to visit only Temple, only Church and only Gurudwara are in the ratio 4: 7: 9, respectively. Number of people who like to visit both Church and Temple but not Gurudwara are 50 less than the number of people who like to visit all the three religious places. Number of people who like to visit all the three religious places are 75% less than the number of people who like to visit only temple. Number of people who like to visit both Gurudwara and Temple but not Church is twice the number of people who visit both Church and Temple but not Gurudwara. Number of people who like to visit both Church and Gurudwara are 60% more than the number of people who like to visit both Temple and Church. Number of people who like to visit Temple is equal to the number of people who like to visit only Church. Number of people who didn’t like any of the three religious places are 50% less than the number of people who like to visit only Temple.

How many people like to visit exactly two religious places?

Question 7

Direction: Answer the questions based on the information given below.

In a survey of city X, it was found that certain people don't like to visit any of the three religious places: Temple, Church and Gurudwara, and rest people like to visit at least one of these three religious places. Number of people who like to visit only Temple, only Church and only Gurudwara are in the ratio 4: 7: 9, respectively. Number of people who like to visit both Church and Temple but not Gurudwara are 50 less than the number of people who like to visit all the three religious places. Number of people who like to visit all the three religious places are 75% less than the number of people who like to visit only temple. Number of people who like to visit both Gurudwara and Temple but not Church is twice the number of people who visit both Church and Temple but not Gurudwara. Number of people who like to visit both Church and Gurudwara are 60% more than the number of people who like to visit both Temple and Church. Number of people who like to visit Temple is equal to the number of people who like to visit only Church. Number of people who didn’t like any of the three religious places are 50% less than the number of people who like to visit only Temple.

Number of people who like to visit temple are how much less than the number of people who like to visit Gurudwara?

Question 8

Direction: Answer the questions based on the information given below.

In a survey of city X, it was found that certain people don't like to visit any of the three religious places: Temple, Church and Gurudwara, and rest people like to visit at least one of these three religious places. Number of people who like to visit only Temple, only Church and only Gurudwara are in the ratio 4: 7: 9, respectively. Number of people who like to visit both Church and Temple but not Gurudwara are 50 less than the number of people who like to visit all the three religious places. Number of people who like to visit all the three religious places are 75% less than the number of people who like to visit only temple. Number of people who like to visit both Gurudwara and Temple but not Church is twice the number of people who visit both Church and Temple but not Gurudwara. Number of people who like to visit both Church and Gurudwara are 60% more than the number of people who like to visit both Temple and Church. Number of people who like to visit Temple is equal to the number of people who like to visit only Church. Number of people who didn’t like any of the three religious places are 50% less than the number of people who like to visit only Temple.

What is the ratio of the number of people who like to visit Church to the number of people who like to visit Gurudwara?

Question 9

Direction: Answer the questions based on the information given below.

In a survey of city X, it was found that certain people don't like to visit any of the three religious places: Temple, Church and Gurudwara, and rest people like to visit at least one of these three religious places. Number of people who like to visit only Temple, only Church and only Gurudwara are in the ratio 4: 7: 9, respectively. Number of people who like to visit both Church and Temple but not Gurudwara are 50 less than the number of people who like to visit all the three religious places. Number of people who like to visit all the three religious places are 75% less than the number of people who like to visit only temple. Number of people who like to visit both Gurudwara and Temple but not Church is twice the number of people who visit both Church and Temple but not Gurudwara. Number of people who like to visit both Church and Gurudwara are 60% more than the number of people who like to visit both Temple and Church. Number of people who like to visit Temple is equal to the number of people who like to visit only Church. Number of people who didn’t like any of the three religious places are 50% less than the number of people who like to visit only Temple.

What is the population of city X?

Question 10

Direction: Answer the questions based on the information given below.

In a survey of city X, it was found that certain people don't like to visit any of the three religious places: Temple, Church and Gurudwara, and rest people like to visit at least one of these three religious places. Number of people who like to visit only Temple, only Church and only Gurudwara are in the ratio 4: 7: 9, respectively. Number of people who like to visit both Church and Temple but not Gurudwara are 50 less than the number of people who like to visit all the three religious places. Number of people who like to visit all the three religious places are 75% less than the number of people who like to visit only temple. Number of people who like to visit both Gurudwara and Temple but not Church is twice the number of people who visit both Church and Temple but not Gurudwara. Number of people who like to visit both Church and Gurudwara are 60% more than the number of people who like to visit both Temple and Church. Number of people who like to visit Temple is equal to the number of people who like to visit only Church. Number of people who didn’t like any of the three religious places are 50% less than the number of people who like to visit only Temple.

Number of people who didn’t like to visit any of the three religious places are how much percent less/more than the number of people who like to visit both Church and Gurudwara but not Temple?
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Sep 25CAT & MBA