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Directions (Q. Nos. 28-32) in a class, 3 languages
are offered mainly Hindi,
English and French. The total
23 23
number of students learning
E
French is 46. In x denotes the
number of students learning
F 11
Hindi and French but bot
28
English, then answer the
following using adjacent Venn diagram.
How
many students learn precisely two
languages?
(a) 55
(b) 40
(c) 30 (d) 13
How many students learn atleast two languages?
(a) 15 (b) 30 (C) 45 (d) 55
What is the total strength of the class?
(a) 124 (b) 100
(C) 96
(d) 66
How many students learn English and French?
(a) 30 (b) 43 (c) 45
(d) 73
How many students learn atleast one language?
(a) 45
(b) 51
(c) 96
(d) None of these
Answers
Given : in a class, 3 languages are offered mainly Hindi, English and French.
Venn Diagram Given
To Find :
How many students learn precisely two languages
How many students learn atleast two languages
What is the total strength of the class
How many students learn English and French
How many students learn atleast one language
Solution:
Total Numbers of students learning French
11 + 3x + 15 + x = 46
=> 4x = 20
=> x = 5
students learn precisely two languages = x + 2x + 3x = 6x
= 6 * 5
= 30
30 students learn precisely two languages
atleast two languages = = x + 2x + 3x + 15 = 6x + 15
= 45
total strength of the class = 72 + 6x + 28 = 130
students learn English and French = 3x + 15
= 30
students learn atleast one language = 102 ( none of these)
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