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# When the product of the digits of the two-digit positive integer x is

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Senior SC Moderator
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When the product of the digits of the two-digit positive integer x is  [#permalink]

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02 Feb 2017, 01:21
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Difficulty:

5% (low)

Question Stats:

89% (00:56) correct 11% (01:21) wrong based on 62 sessions

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When the product of the digits of the two-digit positive integer $$x$$ is $$3$$, what is the value of $$x$$?

(1) $$x$$ is greater than $$30$$.
(2) The tens digit of $$x$$ is greater than the units digit of $$x$$.

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Re: When the product of the digits of the two-digit positive integer x is  [#permalink]

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02 Feb 2017, 04:54
1
ziyuenlau wrote:
When the product of the digits of the two-digit positive integer $$x$$ is $$3$$, what is the value of $$x$$?

(1) $$x$$ is greater than $$30$$.
(2) The tens digit of $$x$$ is greater than the units digit of $$x$$.

Product of two digit number x is 3 . So x is equal to 13 or 31 .

Statement 1 says . x is > 30 .
=> x is 31
Sufficient

Statement 2 says , tens digit is greater than units digit .
=> x is 31
Sufficient

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Re: When the product of the digits of the two-digit positive integer x is  [#permalink]

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31 Mar 2019, 06:49
From the question stem x can be either 13 or 31.

1) x is greater than 30. So x is 31. SUFFICIENT
2) The tens digit of x is greater than the units digit of x. This is possible only when x is 31. SUFFICIENT.

OPTION: D
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Re: When the product of the digits of the two-digit positive integer x is   [#permalink] 31 Mar 2019, 06:49
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