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
Explanation:
Atleast 80 students study neither Spanish nor Mandarin. Hence, maximum number of students who study atleast one language = 290 – 80 = 210
Minimum number of students who study both languages = 100 + 120 – 210 = 10
∴ Maximum number of students who study Spanish but not Mandarin = 120 – 10 = 110
Maximum number of students who study both languages = smaller value of 100 and 120 = 100
∴ Minimum number of students who study Spanish but not Mandarin = 120 – 100 = 20
Hence, the range could be any number from 20 to 110.
Hence, option (d).
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