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The positive integer n is divisible by 16. If √ n is greater than 16,
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13 Sep 2021, 01:29
13 Sep 2021, 01:29
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18% (01:22) wrong based on 22 sessions
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The positive integer n is divisible by 16. If √n is greater than 16, which of the following could be the value of \(\frac{n}{16 }\)?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Re: The positive integer n is divisible by 16. If √ n is greater than 16,
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13 Sep 2021, 05:29
13 Sep 2021, 05:29
1
Answer is (E) 17
Since sqrt of n is > 16, only value on the list is E)17, any other will be <= 16.
Since sqrt of n is > 16, only value on the list is E)17, any other will be <= 16.
The positive integer n is divisible by 16. If √ n is greater than 16,
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13 Sep 2021, 08:32
13 Sep 2021, 08:32
1
Carcass wrote:
The positive integer n is divisible by 16. If √n is greater than 16, which of the following could be the value of \(\frac{n}{16 }\)?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Given: Positive integer n is divisible by 16 and √n is greater than 16.
Inference: n's prime factorization will be of the form n = 16 * x, where x is the product of the remaining digits.
Now, if √n > 16,
√(16 * x) > 16
4 * √x > 16
√x > 4
Since the question asks for a potential value of \(\frac{n}{16}\), we need to find a potential value of x (see the inference).
If √x > 4, x has to be greater than 16. The only answer choice that matches is 17.
Hence, option E is correct.
