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# Which of the following numbers has the greatest number of unique digit

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SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1668
Location: Pakistan
GPA: 3.39
Which of the following numbers has the greatest number of unique digit  [#permalink]

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24 Sep 2017, 12:14
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Difficulty:

15% (low)

Question Stats:

81% (00:34) correct 19% (00:43) wrong based on 42 sessions

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Which of the following numbers has the greatest number of unique digits?

A 1/6
B 1/4
C 1/3
D 3/4
E 5/7

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Manager
Joined: 06 Aug 2017
Posts: 87
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Re: Which of the following numbers has the greatest number of unique digit  [#permalink]

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24 Sep 2017, 13:42
Which of the following numbers has the greatest number of unique digits?

A 1/6
B 1/4
C 1/3
D 3/4
E 5/7

This can be determined by actual division, which is easiest approach here.

A 0.16....
B 0.52
C 0.3....
D 0.75
E 0.7142....

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Joined: 12 Sep 2015
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Re: Which of the following numbers has the greatest number of unique digit  [#permalink]

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24 Sep 2017, 16:14
Top Contributor
1
I think the question needs some additional wording to indicate that we're talking about the DECIMAL EQUIVALENT of each fraction.
As it stands, each FRACTION has exactly 2 unique digits.
For example, 1/4 has a 1 and a 4
1/3 has a 1 and a 3
etc

Here's one way to word the original question....

Which of the following fractions has the greatest number of unique digits in its decimal equivalent?

A 1/6
B 1/4
C 1/3
D 3/4
E 5/7

Interestingly enough, we don't even need to convert answer choice E to a decimal.
Here's why:

A 1/6 = 0.1666666... (2 unique digits)
B 1/4 = 0.25 (2 unique digits)
C 1/3 = 0.3333333... (1 unique digit)
D 3/4 = 0.75 (2 unique digits)

At this point, we know that the decimal equivalent of E (5/7) cannot have just 1 unique digit, since answer choices A, B and D would then be TIED for having the greatest number of unique digits
Likewise, the decimal equivalent of E (5/7) cannot have 2 unique digits, because that would mean answer choices A, B, D and E would then be TIED for having the greatest number of unique digits.
So, we can safely conclude that answer choice E must have the greatest number of unique digits

Cheers,
Brent
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Re: Which of the following numbers has the greatest number of unique digit &nbs [#permalink] 24 Sep 2017, 16:14
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