InstructionsThere are 450 students in a college. Each student has to c...
Let ‘x’ be the number of students who took all the three electives and ‘y’ be the number of students who took only management as an elective.
We get following venn diagram –
Considering students who took management as an elective we have,
y + x + 84 + 75 = 238
x + y = 79
Considering students who took history as an elective we have,
137 – y + x + 84 + 52 = 240
y – x = 33
Adding both the equation we get,
2y = 112
y = 56
So, x = 23
So, number of students who took all the three electives = 23
Number of students who took only management = 56
Number of students who took only history = 137 – 56 = 81
So, the number of students who took only physics = 450 – 240 – 56 – 75 = 79
Thus, we get following venn diagram –
Hence, option A is the correct choice.