Suppose, the number of questions in group A, B and C be x, y, and z, respectively.
Then,
x+y+z=100(given)
Total marks would be
x+2y+3zGiven,
y=23Total marks from section B = 46
Different possible values for z are 1,2, 3....
∴ Corresponding values for x are 76, 75, 74...
(Since, total questions are 100)
when
z=1,x=76,y=23Total marks from groups A, B and C are 76, 46, 3 respectively.
Percentage marks from
A==>60%when
z=2,x=75,y=23Percentage marks from
A==<60%For all other values, when z increases, x decreases and contribution of marks from A keeps decreasing.
∴ There is only 1 possible value for questions from group C.