Venn Diagram Languages Spoken

MAT 2018 · Intelligence & Critical Reasoning · Easy · Logical Reasoning

Passage / data set

Direction for questions 161 to 163: In the figure below, the triangle represents people of a particular society who can speak English, the circle represents people who can speak Hindi, the rectangle represents people who can speak Sanskrit whereas the square represents people who can speak Punjabi.

  • Triangle (English only region): 12
  • Intersection of Triangle & Circle: 4
  • Circle only region: 15
  • Intersection of Triangle, Circle & Rectangle: 5
  • Intersection of Circle & Rectangle: 10
  • Intersection of Triangle & Rectangle: 2
  • Rectangle only: 6
  • Intersection of Rectangle & Square: 3, 5
  • Square only: 20, 8
  • Intersection of Circle & Square: 4

Question 1 of 2

Number of people who can speak English but not Punjabi are ____.

  1. A.

    27

  2. B.

    18

  3. C.

    12

  4. D.

    32

Answer

A

Explanation

People in Triangle (English) minus those inside Square (Punjabi): Regions in Triangle outside Square = 12+4+2+5+4=2712 + 4 + 2 + 5 + 4 = 27.

Question 2 of 2

How many people can speak both, Hindi and Sanskrit?

  1. A.

    10

  2. B.

    22

  3. C.

    24

  4. D.

    14

Answer

D

Explanation

The intersection of Circle (Hindi) and Rectangle (Sanskrit) includes regions with numbers 5, 10, etc., summing to 5+95 + 9 or 1414 as per diagram intersections.

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