Indian Institute of Foreign Trade 2016 Solved Paper

Question : 11 of 123

Marks: +1, -0

290 students of MBA (International Business) in a reputed Business School have to study foreign language in Trimesters IV and V. Suppose the following information are given
(i) 120 students study Spanish
(ii) 100 students study Mandarin
(iii) At least 80 students, who study a foreign language, study neither Spanish nor Mandarin
Then the number of students who study Spanish but not Mandarin could be any number from

80 to 170
80 to 100
50 to 80
20 to 110

Validate

Solution:

(d) Total students = 290. At least 80 students study neither Spanish nor Mandarin.
∴No. of students who study Spanish or Mandarin or both = 290 – 80 = 210.
∴ n(S

∪

M) = n(S) + n (M) – n(S

∩

M)
⇒ 210 = 120 +100 – n(S

∩

M) ⇒ n(S

∩

M) = 10
∴ Number of students who study Spanish but not Mandarin = 120 – 10 = 110.
As 110 is given in option D, hence it is the answer.

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