Venn Diagram Problems with Solutions for SSC and Bank Exams

Venn diagram problems with solutions for competitive exams

Direction(12-16): Study the figure given below carefully and answer the question that follow

Q.12. Which number belongs to all the figures?

(A) 3

(B) 4

(C) 6

(D) None of these

Solution

Clearly, we have to find a number which lies inside each one of the four figures – Triangles, Square, oval and hexagon. There is no such number in the given diagram. Hence, the answer is D.

Q.13. What is the sum of the numbers which belong to two figures only?

(A) 6

(B) 15

(C) 20

(D) None of these

Solution 

We first find the numbers which belong to two figures only, as follows:

Numbers common to square and oval : 2, 4.

Numbers common to triangle and oval : 6.

Numbers common to hexagon and oval : 8.

The numbers common to square and triangle i.e 3 or triangle and hexagon i.e 9 lie inside the oval also, and hence none of them shall be considered here.

⸫ Required sum = (2+4+6+8) = 20.

Hence, the answer is (C).

Q.14. What is the product of the numbers which belong to three figures only?

(A) 27

(I) 162

(C) 648

(D) None of these

Solution 

We first find the numbers which belong to three figures only, as follows:

Number common to square, triangle and oval : 3

Number common to triangle, hexagon and oval : 9.

⸫ Required product = 3×9 = 27.

Hence the answer is (a)

Q.15. What is the sum of the numbers which belong to one figure only?

(A) 5

(B) 16

(C) 21

(D) None of these

Solution

We first find the numbers which belong to one figure only, as follows:

Number inside the square only : 1,3.

Number inside the oval only : 1, 5, 7.

Number inside the hexagon only : 4.

⸫ Required sum = (1+3+1+5+7+4) = 21.

Hence, the answer is (C)

Q.16. What is the product of the numbers which belongs to two figures only?

(A) 64

(B) 192

(C) 384

(D) None of these

We first find the numbers which belong to two figures only, as in Q.2 above clearly, such number are 2, 4, 6, 8.

⸫ Required product = ( 2×4×6×8) = 384.

Hence, the answer is (c).

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