In the following figure small square represents the persons who know English,…

2025

In the following figure small square represents the persons who know English, triangle to those who know Marathi, big square to those who know Telugu and circle to those who know Hindi. In the different regions of the figures from 1 to 12 are given.

How many persons can speak all the languages ?

  1. A.

    1

  2. B.

    8

  3. C.

    2

  4. D.

    None of these

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Show answer & explanation

Correct answer: D

In a numerical Venn diagram, each shape's boundary marks everyone who has that one trait, and the count written inside a region is the number of people who have exactly the combination of traits enclosed by the boundaries that overlap there. A region counts toward "all four languages" only if it lies inside every one of the four boundaries at the same time — the triangle (Marathi), the small square (English), the circle (Hindi), and the big square (Telugu) together.

Tracing the figure region by region, several of the twelve marked regions sit inside three of the four boundaries at once, and others sit inside just one or two — but checking every marked region against all four boundaries together shows that none of them is enclosed by the triangle, both squares, and the circle at the same time.

Since no region is common to all four shapes, the number of persons who know all four languages is 0. Checking this against the values actually offered — 1, 8, and 2 — none of them equals 0.

So the value that matches the figure is not among the numbers listed, and the correct choice is “none of these”.

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