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Venn Diagrams Questions and Answers for Bank PO & CLERK

Venn Diagrams Questions and Answers for Bank PO & CLERK

Banking Classes : Venn diagram is one of the most important topics for bank exams (IBPS/SBI/RRB – Clerk & PO). 3-5 questions can be expected from this topic. A Venn diagram is an illustration of the relationships among different sets, groups of objects that may or may not share something in common. Venn diagram presents relationships in the form of circles or geometrical figures. Items residing in the overlapping section bearing a commonality and items residing in the outer portions of the circles/geometrical figures do not share specified common traits.

Let us understand the concept of Venn diagram with the help of some examples:

Venn diagram of set of even numbers & odd numbers:

Even numbers = 2, 4, 6, 8, 10 etc.

Odd numbers = 1, 3, 5, 7, 9 etc.

 

Venn Diagrams Questions and Answers for Bank PO & CLERK 2018 - 19

  • Venn Diagram of set of Natural numbers & Whole numbers:
  • Natural numbers = 1, 2, 3, 4, 5.……etc
  • Whole numbers = 0, 1, 2, 3, 4……etc

Venn Diagrams Questions and Answers for Bank PO & CLERK 2018 - 19

 

  • Venn Diagram of set of Even numbers & Prime numbers:
  • Even numbers = 2, 4, 6, 8, 10 etc.

Prime numbers = 2, 3, 5, 7, 9 etc.

Venn Diagrams Questions and Answers for Bank PO & CLERK 2018 - 19

  • Directions for (Ques: 1-5) Study the given information carefully & answer the questions that follow:
  • The Venn diagram shows the number of people who speak different languages:

Venn Diagrams Questions and Answers for Bank PO & CLERK 2018 - 19

Venn Diagrams Questions and Answers for Bank PO

 

  1. How many persons can speak English and Hindi languages only?

Sol: Number of persons who can speak English and Hindi languages only:

⇒ 5 + 2 = 7 persons

 

  1. How many persons can speak French and Spanish both?

Sol: Number of persons who can speak French and Spanish languages both:

⇒ 6 + 7 = 13 persons

  1. How many persons can speak only English?

Sol: Number of persons who can speak only English language:

12persons

 

  1. How many persons can speak English, Hindi, and French?

Sol: Number of persons who can speak English, Hindi and French languages:

2 persons

 

  1. How many persons can speak all the languages?

Sol: There is no such person who can speak all the languages.

 

Directions for (Ques: 6-10) Study the given information carefully & answer the questions that follow:

A school has 63 students studying Physics, Chemistry, and Biology out of which 33 students study Physics, 25 students study Chemistry and 26 students study Biology. 10 study Physics and Chemistry both, 9 study Biology and Chemistry while 8 study both Physics and Biology. An equal number of students studies all three subjects as those who study none of the three.

Venn Diagrams Questions and Answers for Bank PO & CLERK 2018 - 19

There are 3 students who study all the subjects. So, we can say there are 3 students who study none of the given subjects.

    1. How many students study all the three subjects? 

a) 3
b) 5
c) 6
d) 7
e) 9

Sol: There are 3 students who study all the subjects.

Answer: (a)

    1. How many students study only one of the three subjects? 

a) 32
b) 36
c) 39
d) 42
e) None of these

Sol: Number of students who study only one of the three subjects = (18 + 12 + 9) = 39

Answer: (c)

 

    1. How many students study none of the three subjects?

a) 2
b) 3
c) 4
d) 5
e) 7

Sol: There are 3 students who study none of the given subjects.

Answer: (b)

    1. How many students study at least one of the three subjects?

a) 55
b) 56
c) 58
d) 59
e) 60

No. of students who study at least one of the three subjects = Total Students –Number of students who did not study any subject = 63 – 3 = 60 students

Answer: (e)

    1. How many students study at least two of the three subjects?

a) 18
b) 15
c) 19
d) 21
e) 25

No. of students who study at least two of the three subjects = 7 + 6 + 5 + 3 = 21

Answer: (d)

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