Question

Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8?
A. If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers.
B. The number of students in the class is currently not divisible by 8.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

Check for divisibility rules when adding or removing students. Ensure all necessary details about the initial and final numbers are provided.

Answer 1

The Correct Option is C

Statement A tells us that adding 12 students would allow the teacher to form teams of 8 with no leftovers, which implies the total number of students must be divisible by 8. Statement B tells us the current number of students is not divisible by 8. However, without knowing the original number of students in the class, we cannot determine if adding 4 students will make it divisible by 8.