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There are (2a + 16) students in a class with three streams: arts, science, and commerce. The ratio of students who take arts to science is 4:1. Find the total number of students in the class. A. The number of arts students is 8 more than the number of commerce students, and the probability of selecting a science student is 1/7. B. The number of commerce students is 25% less than the number of arts students.

1. Statement A alone is sufficient to answer the question but Statement B alone is not sufficient to answer the question.
2. Statement B alone is sufficient to answer the question but Statement A alone is not sufficient to answer the question.
3. Both statements taken together are necessary to answer the question, but neither statement alone is sufficient.
4. Either Statement A or Statement B by itself is sufficient to answer the question.

Correct answer: Statement A alone is sufficient to answer the question but Statement B alone is not sufficient to answer the question.

Solution

The ratio arts:science = 4:1 gives one relation, but not enough to determine the total. Statement A adds enough information to solve for the numbers uniquely, while Statement B only gives another proportional relation and still leaves the total undetermined.

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