The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11
What is the total strength of the class?
(a) 124 (b) 100 (c) 96 (d) 66
Correct option is (a) 124
Explanation:
The total number of students learning French = 46
15 + 11 + x + 3x = 46
4x = 20
x = 5
The total strength of the class
= 28 + 23 + 17 + 11 + x + 2x + 3x + 15
= 79 + 6x + 15 = 79 + 30 + 15 = 124
