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If k is an integer and 462/n, then which of the f
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04 Jan 2026, 23:10
04 Jan 2026, 23:10
Expert Reply
00:00
Question Stats:
88% (00:39) correct
11% (01:05) wrong based on 9 sessions
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If k is an integer and $\(\mathrm{k}=\frac{462}{n}\)$, then which of the following could be the value of $n$ ?
◯ 4
◯ 5
◯ 9
◯ 13
◯ 22
◯ 4
◯ 5
◯ 9
◯ 13
◯ 22
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Re: If k is an integer and 462/n, then which of the f
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25 Jan 2026, 07:24
25 Jan 2026, 07:24
Expert Reply
We need $462 / n$ to be an integer, so $n$ must be a divisor of 462 .
Checking the options:
- $\(4 \rightarrow 462 \div 4=115.5\)$, not integer.
- $\(5 \rightarrow 462 \div 5=92.4\)$, not integer.
- $\(9 \rightarrow 462 \div 9=51.33 \ldots\)$, not integer.
- $\(13 \rightarrow 462 \div 13=35.538 \ldots\)$, not integer.
- $\(22 \rightarrow 462 \div 22=21\)$, integer.
Thus, the value of $n$ that works is 22 .
Checking the options:
- $\(4 \rightarrow 462 \div 4=115.5\)$, not integer.
- $\(5 \rightarrow 462 \div 5=92.4\)$, not integer.
- $\(9 \rightarrow 462 \div 9=51.33 \ldots\)$, not integer.
- $\(13 \rightarrow 462 \div 13=35.538 \ldots\)$, not integer.
- $\(22 \rightarrow 462 \div 22=21\)$, integer.
Thus, the value of $n$ that works is 22 .
gmatclubot
Re: If k is an integer and 462/n, then which of the f [#permalink]
25 Jan 2026, 07:24
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