aimingformba wrote:
The positive integer x has a factor of 16. If the square root of x is > 16, which of the following could equal x/16?
A. 13
B. 14
C. 15
D. 16
E. 17
Bunuel's solution is perfect.
However, we can also test the answer choices....
A) 13
This means x/16 = 13, which means
x = (16)(13)We're told that √x > 16
Notice that √(16²) = 16
Since
(16)(13) is LESS THAN 16², we can be certain that √
(16)(13) is LESS THAN 16
Since this answer choice does not satisfy the condition that √
x > 16, we can ELIMINATE A
B) 14
This means x/16 = 14, which means
x = (16)(14)Since
(16)(14) is LESS THAN 16², we can be certain that √
(16)(14) is LESS THAN 16
Since this answer choice does not satisfy the condition that √
x > 16, we can ELIMINATE B
.
.
.
E) 17
This means x/16 = 17, which means
x = (16)(17)Since
(16)(17) is GREATER THAN 16², we can be certain that √
(16)(17) is GREATER THAN 16
Since this answer choice satisfies the condition that √
x > 16, this must be the correct answer.
Answer:
Cheers,
Brent
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