Languages Spoken Venn Diagram

MAT 2018 · Intelligence & Critical Reasoning · Easy · Venn Diagrams

Passage / data set

In the diagram, the triangle represents people 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.

Diagram values given:

  • Triangle (English only region): 12
  • Circle (Hindi only region): 15
  • Square (Punjabi only region): 8
  • Rectangle (Sanskrit only region): 20
  • Intersections: as shown in figure (Triangle + Circle = 4, Triangle + Circle + Sanskrit = 5, etc.)

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

Sum all regions inside the English triangle that lie outside the Punjabi square: 12+4+6+5=2712 + 4 + 6 + 5 = 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

Sum the intersection regions of Circle (Hindi) and Rectangle (Sanskrit): 10+4=1410 + 4 = 14.

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