Correct option is A
Given:
according to venn diagram
20: People who are teachers, writers, and poets.
28: People who are teachers and poets, but not writers.
10: People who are poets and writers, but not teachers.
9: People who are teachers and writers, but not poets.
28: People who are teachers and poets, but not writers.
10: People who are poets and writers, but not teachers.
9: People who are teachers and writers, but not poets.
Solution:
The numbers in non-overlapping sections represent individuals belonging to only one group
14: People who are only poets.
16: People who are only writers.
24: People who are only teachers.
16: People who are only writers.
24: People who are only teachers.
Evaluating the options:
Option A: The number of teachers who are both writers and poets is 20.
From the diagram, the central overlapping section (teachers, writers, and poets) contains 20.
This statement is correct.
This statement is correct.
Option B: The number of poets who are also teachers but not writers is 48.
From the diagram, the section where poets and teachers overlap, but not writers, is 28
This statement is incorrect.
This statement is incorrect.
Option C: The number of poets who are also teachers is 4.
From the diagram, the total number of poets who are also teachers (both directly and through overlaps) is28:2828 (teachers and poets) + 2020 (teachers and poets) +20 (teachers, writers, and poets) =48
This statement is incorrect.
Option D: The number of writers who are neither teachers nor poets is 10.
From the diagram, the section for only writers (not poets or teachers) is 16
This statement is incorrect.
Thus, correct option is (a).
English
100 Questions
100 Marks
90 Mins
