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Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons.

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Which of the following statements is correct on the basis of the above diagram?

AThe number of teachers who are both writers and poets is 20.

BThe number of poets who are also teachers is 44.

CThe number of writers who are neither teachers nor poets is 10.

DThe number of poets who are also teachers but not writers is 48.

Answer:

A. The number of teachers who are both writers and poets is 20.

Read Explanation:

The number of teachers who are both writers and poets is 20.


Verification of All Options

To understand why this is the correct choice, we can analyze each section of the diagram:

  • Intersection of all three groups (Poets ∩\cap Teachers ∩\cap Writers): The center overlapping section contains the number 20. This represents individuals who belong to all three professions simultaneously (teachers who are both writers and poets). This matches our correct statement perfectly.

  • Poets who are also teachers: This is represented by the intersection of the Poets and Teachers circles (28+20=4828 + 20 = 48).

  • Writers who are neither teachers nor poets: This refers to the standalone section of the Writers circle, which is 16.

  • Poets who are also teachers but not writers: This refers to the overlap between Poets and Teachers excluding the center, which is 28.


Related Questions:

Given below are three statements and three conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion/s follow/s from the given statements.

Statements:

I. All chairs are desks.

II. All desks are chalks.

III. All chalks are boards.

Conclusions:

I. Some boards are desks.

II. Some chalks are chairs.

III. Some boards are chairs.

Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons.

image.png

How many such babies are there who are neither premature NOR preterm?

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

I. All grounds are plane.

II. Some planes are covered.

III. All covered are wets.

Conclusions:

I. Some wets are plane.

II. Some wets are grounds.

III. Some planes are grounds.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All waffles are corianders.

All foams are corianders.

Conclusions:

(I): Some waffles are foams.

(II): Some corianders are foams

Seven people S,E,CT,I,O and N are sitting around a circular table facing the centre.(but not necessarily in the same order). E is sitting second to the left of N, While N is sitting second to the left of S. Only one person is sitting between S and O when counted from the right of S. C is sitting to the immediate right of E, whereas T is sitting to the immediate left of O. Who is sitting to the immediate right of I ?