Venn Diagram Questions with Solution-GMAT, CAT, SSC, Bank PO Preparation

1. Which number is present only in one figure?

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(1) 1
(2) 3
(3) 5 
(4) 7

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Sol: Let’s consider each figure one by one.

(a) Small Triangle – Number 3 and 4 present
These numbers are also present inside the square.

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(b) Large Triangle – Number 6 and 2 present
These numbers are also present inside square and circle respectively

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(c) Circle – Numbers 1, 4, 6, 2 and 7 are present
These numbers are also present in one or other figure

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(d) Clearly number 5 is present in only one figure

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Ans:
Therefore, option (3) is the correct answer

(02) Which number is in the square, ellipse and triangle?

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(1) 1 
(2) 5
(3) 6 
(4) 7

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Sol: I) Number present in square

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II) Number present in Square and ellipse

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Here, we have written only those number which are present in both figure i.e Square and Ellipse

III) Number present in Square, Ellipse and Triangle

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Clearly 7 is the number which present in all the three figures i.e Square, Ellipse and Triangle.

Ans: Hence, option (4) is the correct answer

(03) Who are educated males but who do not live in urban area?

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Sol: According to the question our prime focus is educated males who do not live in urban area. So, we will consider educated males who live in areas other than urban area.

Now lets find out educated male. For this we will consider number in area intersecting Educated and male 

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As number 4 and 11 are present in Triangle (Educated) as well as Rectangle (Male). Hence the area covered by 4 and 11 is considered as Educated male

Now we will find number for area other than urban people or area where urban people do not live. As circle indicates urban people. All the area except area covered by circle is considered as non-urban area

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The areas covered by numbers 7,8,9,11 and 5 are called non-urban areas

Now, to find educated males living in non-urban areas we will consider areas common in both figures above i.e 11

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Clearly 11 is the area which describes educated males who do not live in urban areas.

Ans: Therefore option (2) is the correct answer

04 . Which number is in all the geometrical figures ?

Solving Venn Diagram questions with the help of illustration

(1) 8
(2) 3
(3) 4
(4) 5

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Sol: Numbers present in Triangle – 1, 5, 4, 7 & 3
Numbers present in Rectangle – 6, 5, 4 & 2
Numbers present in Circle – 2, 3, 4 & 8

To find numbers present in all geometrical figures we have to consider the common numbers present in all three figure and that is non-other than 4.

Hence 4 is present in all geometrical figure.

Ans: Therefore, option (3) is the correct answer

Directions (05 – 09) : In following questions are based on the following figure. Study the figure carefully and answer the questions

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(05) Which symbol indicates leader but not a singer, or an Indian ?
(1) g  
(2) c
(3) b
(4) f

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Sol:
To find symbol indicating leader but not a singer, or an Indian we will consider symbol inside leader only.

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Clearly f is the only letter which is leader.
Ans: Therefore option (4) is the correct answer.

(06) Which symbol indicates Indian, a singer but not a leader ?

(1) a
(2) b
(3) f  
(4) d

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The common area intersecting between Indian and Singer is our required answer.

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Clearly d is common to Indian and Singer but not intersecting with area for leader. So, d indicates Indian as well as singer but not leader.

Ans: Hence, option (4) is the correct answer

(07) Which symbol indicates only singer, but not an Indian or a leader ?

(1) b
(2) g
(3) f
(4) d

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Sol:
We should consider area completely under circle of singer and not common to other circle like Leader and Indian. That area under Singer is g. Hence, g is the required symbol

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Ans: Therefore, option (2) is the correct answer.

(08) Which symbol indicates an Indian, a leader as well as a singer ?

(1) b  
(2) c
(3) d              
(4) e

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Sol: The area common to all the circles of Leader, Indian and Singer is the required answer according to question. Hence, c is the required symbol.

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Ans: Hence, option (2) is the correct answer.

(09) Which symbol indicates Indian and a leader but not a singer ?

(1) b
(2) c
(3) d
(4) e

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The area common to circles of Indian and Leader and not intersecting with circle of singer is our required answer. Hence, symbol b is the required answer

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Hence, option (1) is the correct answer.

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