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 the equal number of seats in all three instruments 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 Violin or Guitar class, but not in Tabla Class.
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 the equal number of seats in all three instruments 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 Violin or Guitar class, but not in Tabla Class.
The correct option is E 167
As per the information given in the question, we get the venn diagram as:
We get the equations as:
T + 32 = V + 34 = G + 35
and V + T + G + 46 = 278 => V + T + G = 232
So, by solving the equations we get, no. of students who have occupied seat in Violin Class or Guitar Class, but not inTabla Class = 77 + 14 + 76 = 167. Hence option (e)
As per the information given in the question, we get the venn diagram as:
We get the equations as:
T + 32 = V + 34 = G + 35
and V + T + G + 46 = 278 => V + T + G = 232
So, by solving the equations we get, no. of students who have occupied seat in Violin Class or Guitar Class, but not inTabla Class = 77 + 14 + 76 = 167. Hence option (e)
