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# What is the unit digit of

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VP
Joined: 26 Mar 2013
Posts: 1285

Kudos [?]: 296 [0], given: 165

What is the unit digit of [#permalink]

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16 Oct 2017, 14:09
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Difficulty:

15% (low)

Question Stats:

77% (00:52) correct 23% (00:31) wrong based on 26 sessions

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What is the unit digit of $$\frac{(5! 4!+6! 5!)}{3!}$$ ?

1) 4
2) 3
3) 2
4) 1
5) 0
[Reveal] Spoiler: OA

Kudos [?]: 296 [0], given: 165

Director
Joined: 22 May 2016
Posts: 999

Kudos [?]: 347 [0], given: 594

What is the unit digit of [#permalink]

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16 Oct 2017, 15:54
Mo2men wrote:
What is the unit digit of $$\frac{(5! 4!+6! 5!)}{3!}$$ ?

1) 4
2) 3
3) 2
4) 1
5) 0

Every factorial greater than 4! has a units' digit of 0.

So (units' digits ONLY)

$$\frac{(0)(4) + (0)(0)}{6} =\frac{0}{6} = 0$$

Kudos [?]: 347 [0], given: 594

Intern
Joined: 28 Dec 2010
Posts: 48

Kudos [?]: 13 [0], given: 7

Re: What is the unit digit of [#permalink]

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16 Oct 2017, 23:01
3! is 6.
Your first doubt would be whether numerator is divisible by 6 or not.

5! would give you a 0 in unit digit and is divisible by 6
So 0 + 0, would give you 0.
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Kudos [?]: 13 [0], given: 7

Re: What is the unit digit of   [#permalink] 16 Oct 2017, 23:01
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