Venn Diagrams

Author:V K Raman & S N Sharma
8th ICSE
IMPORTANT

Important Questions on Venn Diagrams

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Name the set represented by the shaded region in the Venn-diagram: is of the form of mnc then m=

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Name the set represented by the shaded region in the Venn-diagram: is of the form of (mn)', then m+n=

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Name the set represented by the shaded region in the Venn-diagram: union of which two sets? [choose from A-B and B-AA and A-BA and B-AB and B-A]

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Name the set represented by the shaded region in the Venn-diagram:

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Name the set represented by the shaded region in the Venn-diagram:[intersection, union, difference]

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HARD
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Use Venn diagram to solve each of the following problems:

A survey of foreign language classes in a school showed the following:
Each student was taking at least one of the foreign languages.

39 students were taking French, 

31 students were taking German,

38 students were taking Spanish,

8 students were taking French and German.

12 students were taking German and Spanish,  

14 students were taking French and Spanish,

5 were taking all the three languages.

How many students were taking only one foreign language?

HARD
IMPORTANT

Use Venn diagram to solve each of the following problems:

A survey of foreign language classes in a school showed the following:
Each student was taking at least one of the foreign languages.

39 students were taking French, 

31 students were taking German,

38 students were taking Spanish,

8 students were taking French and German.

12 students were taking German and Spanish,  

14 students were taking French and Spanish,

5 were taking all the three languages.

How many students were taking at least one foreign language?
 

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Use Venn diagram to solve each of the following problems:

In a group of 50 children, 35 like comics and 23 like both comics and novels. How many like novels only?

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Use Venn diagram to solve each of the following problems:

In a class of 40 students, 23 play hockey and 30 play cricket. How many play both the games ?

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Use Venn diagram to solve each of the following problems:

In a group of 75 tourists, 25 visited only Kolkata and 23 visited only Mumbai. How many visited both the places?

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Use Venn diagram to solve each of the following problems:

In a group of 75 tourists, 25 visited only Kolkata and 23 visited only Mumbai. How many visited Kolkata?
 

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Use Venn diagram to solve each of the following problems:

In a group of 50 persons who speak English or Tamil or both, 37 speak English and 30 speak Tamil. How many speak only Tamil?

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Use Venn diagram to solve each of the following problems:

In a group of 50 persons who speak English or Tamil or both, 37 speak English and 30 speak Tamil. How many speak only English?

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Use Venn diagram to solve each of the following problems:

In a group of 50 persons who speak English or Tamil or both, 37 speak English and 30 speak Tamil. How many speak both the languages?

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Copy the diagram and shade the set not AB.

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Copy the diagram and shade the set notAB.

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Copy the diagram and shade the set AB'.

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Copy the diagram and shade the set Bξ.

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From the diagram, list the elements of the set ABC'.

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From the diagram, list the elements of the set BC only.

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