The question stem should read as follows:
vinni.k wrote:In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining twelve apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. Which of the following includes every possible value for the total number of apes?
A. 48
B. 16
C. 64
D. 80
E. 16 or 48
We can plug in the answers, which represent the total number of apes.
The square of one-eighth of the total number are playing and having great fun.
The remaining twelve apes are on a hill.
Answer choice A: 48 apes
Here, the number playing = (48/8)² = 36, implying that the number on the hill = 48-36 = 12.
This works.
Eliminate B, C, and D.
Answer choice E: 16 or 48 apes
If there are 16 apes, the number playing = (16/8)² = 4, implying that the number on the hill = 16-4 = 12.
This also works.
Eliminate A.
The correct answer is
E.
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