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Question

In a music school, three instruments are taught: Tabla, Violin and Guitar. Out of 278 students in the school, 20 learn Tabla and Violin, 23 learn Violin and Guitar and 21 learn Tabla and Guitar. 9 students learn all three instruments. It is known that equal number of seats in all three instrument classes. (If a student is learning Guitar as well as Tabla, then he occupies two seats: one in Tabla Class and one in Guitar Class)
Determine the number of students who have occupied seats in Tabla and Violin Class but not in Guitar Class.

A
9
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B
11
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C
13
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D
7
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E
15
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Solution

The correct option is B 11

Going by the information given in the question, we get the three sets venn diagram as:

Hence, no. of students who have occupied the seat in
Tabla and Violin Class, but not in Guitar Class = 20 – 9 = 11. Hence option (b)


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