How many students play exactly one game cricket and football ?
I. A total of 473 students are present in the school.
II. Of 343 students who play cricket 42 also play football.

Options

A. If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.
B. If the question can be answered using either statements alone.
C. If the question cannot be answered even using A and B together.
D. If the question can be answered using A and B together but not using A or B alone.

Answer

C

Explanation

Either statements alone is not sufficient to answer the question.
Combining both I and II, the information can be represented as follows.

But as there is no information about the number of persons who like neither of the games, the information about the number of students who like only football cannot be found.
The question cannot be answered even after combining I and II.