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If N and P denote the nonzero digits of a four-digit number NNPP, is

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If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

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New post 15 Feb 2018, 23:30
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:16) correct 20% (00:56) wrong based on 65 sessions

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GMAT 1: 710 Q49 V36
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Re: If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

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New post 15 Feb 2018, 23:39
Bunuel wrote:
If N and P denote the nonzero digits of a four-digit number NNPP, is NNPP divisible by 4?

(1) NPP is divisible by 8.

(2) NPP is divisible by 4.



Divisibility rule for 8 - Last 3 digits of a number must be divisible by 8
Divisibility rule for 4 - last 2 digits of a number must be divisible by 4

we can see both B and A are sufficient

ex - 144 mod 8 = 0

1144 mod 4 = 0


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Re: If N and P denote the nonzero digits of a four-digit number NNPP, is  [#permalink]

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New post 17 Feb 2018, 05:20
Bunuel wrote:
If N and P denote the nonzero digits of a four-digit number NNPP, is NNPP divisible by 4?

(1) NPP is divisible by 8.

(2) NPP is divisible by 4.


Rule of divisibility of 8 - Last 3 digits of the number must be divisible by 8
Rule of divisibility of 4 - Last 2 digits of the number must be divisible by 8
If the number is divisible by 8 then it will also be divisible by all its factors i.e. by 2,4 and 8


Question: is NNPP divisible by 4?

Statement 1: NPP is divisible by 8

i.e. the number is divisible by 8 hence it has to be divisible by 4 as well

SUFFICIENT

Statement 1: NPP is divisible by 4

i.e. the number is divisible by 4 hence

SUFFICIENT

ANswer: Option D
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Re: If N and P denote the non-zero digits of a four-digit number  [#permalink]

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New post 07 Aug 2019, 03:09
Hello from the GMAT Club BumpBot!

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Re: If N and P denote the non-zero digits of a four-digit number   [#permalink] 07 Aug 2019, 03:09
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If N and P denote the nonzero digits of a four-digit number NNPP, is

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