VENN DIAGRAM- 3 Variable || Logical Reasoning || CAT 2021 || 16 October
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Question 1
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
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.
Question 3
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.
Question 4
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.
Question 5
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.
Question 6
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
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.
Question 8
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.
Question 9
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.
Question 10
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.
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