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What is the units digit of positive integer x?

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What is the units digit of positive integer x?  [#permalink]

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New post 27 Apr 2016, 23:34
2
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A
B
C
D
E

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  65% (hard)

Question Stats:

48% (01:33) correct 52% (01:59) wrong based on 123 sessions

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What is the units digit of positive integer x?

(1) 7, 15, 24, and n are all factors of x.
(2) 6! < x < 7!
Spoiler: OA

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Re: What is the units digit of positive integer x?  [#permalink]

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New post 27 Apr 2016, 23:57
Bunuel wrote:
What is the units digit of positive integer x?

(1) 7, 15, 24, and n are all factors of x.
(2) 6! < x < 7!


B is out straight away

A tells that number can end in 0/5

C is the answer i believe'
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Aiming for a 3 digit number with 7 as hundredths Digit
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Re: What is the units digit of positive integer x?  [#permalink]

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New post 28 Apr 2016, 00:30
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Balajikarthick1990 wrote:
Bunuel wrote:
What is the units digit of positive integer x?

(1) 7, 15, 24, and n are all factors of x.
(2) 6! < x < 7!


B is out straight away

A tells that number can end in 0/5

C is the answer i believe'


HI,
Always be careful while eliminating a statement..
what is statement I
(1) 7, 15, 24, and n are all factors of x.
the factors are 15 and 24, so x will be a MULTIPLE of 5 and 2..
thus UNIT's digit will be 0
Suff
ans A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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Re: What is the units digit of positive integer x?  [#permalink]

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New post 28 Apr 2016, 00:32
chetan2u wrote:
Balajikarthick1990 wrote:
Bunuel wrote:
What is the units digit of positive integer x?

(1) 7, 15, 24, and n are all factors of x.
(2) 6! < x < 7!


B is out straight away

A tells that number can end in 0/5

C is the answer i believe'


HI,
Always be careful while eliminating a statement..
what is statement I
(1) 7, 15, 24, and n are all factors of x.
the factors are 15 and 24, so x will be a MULTIPLE of 5 and 2..
thus UNIT's digit will be 0
Suff
ans A



Ya agreed sir...will be careful.
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Re: What is the units digit of positive integer x?  [#permalink]

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New post 19 Nov 2016, 02:47
Since x is divisible by both 15 and 24 from statement 1 we can say that unit digit of x must be zero.
Again statement 2 is not sufficient as we don't know what x might be.
hence A
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Re: What is the units digit of positive integer x?  [#permalink]

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New post 24 Nov 2016, 04:44
Great Question.
Here we need the units digit of x
Statement 1=>
this statement tells us that 5 and 2 must be prime factors of x.
Hence the units digit of x must be zero.
Hence Sufficient.

Statement 2
x must lie between (720,720*7)
Not sufficient

Hence A
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Re: What is the units digit of positive integer x?  [#permalink]

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Re: What is the units digit of positive integer x?   [#permalink] 26 Aug 2018, 03:24
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