Year
CAT 2020
Section
Data
Topic
Venn Diagrams
Difficulty
Easy
Question
Slot-3
Read the passage and answer the questions below.
Read the passage and answer the questions below.
Passage:
A survey of 600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).
The following four facilities were studied.
F1: Own software for OTLP
F2: Trained teachers for OTLP
F3: Training materials for OTLP
F4: All students having Laptops
The following observations were summarized from the survey.
-
80 schools did not have any of the four facilities – F1, F2, F3, F4.
-
40 schools had all four facilities.
-
The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 26 and 20 respectively.
-
The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
-
313 schools had F2.
-
26 schools had only F2 and F3 (but neither F1 nor F4).
-
Among the schools having F4, 24 had only F3, and 45 had only F2.
-
162 schools had both F1 and F2.
-
The number of schools having F1 was the same as the number of schools having F4.
Question 1
What was the total number of schools having exactly three of the four facilities?
80
64
200
50
Question 2
What was the number of schools having facilities F2 and F4?
185
95
45
85
Question 3
What was the number of schools having only facilities F1 and F3?
Question 4
What was the number of schools having only facilities F1 and F4?
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