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# If c is a positive integer between 1 and 9 inclusive

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Intern
Joined: 04 Oct 2014
Posts: 11
GMAT 1: 650 Q44 V35
If c is a positive integer between 1 and 9 inclusive  [#permalink]

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01 Nov 2014, 07:25
1
4
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:34) correct 31% (01:47) wrong based on 205 sessions

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If c is a positive integer between 1 and 9 inclusive, and n= 9,446 + c, then what is the value of c ?

(1) n is divisible by 5
(2) n is divisible by 9
Math Expert
Joined: 02 Sep 2009
Posts: 55668
Re: If c is a positive integer between 1 and 9 inclusive  [#permalink]

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01 Nov 2014, 07:34
1
1
If c is a positive integer between 1 and 9 inclusive, and n= 9,446 + c, then what is the value of c ?

(1) n is divisible by 5. For a number to be divisible by 5, its units digit must be 0 or 5. Thus, c could be 4 or 9. Not sufficient.

(2) n is divisible by 9. For a number to be divisible by 9, the sum of its digits must be divisible by 9. Thus, c can only be 4. In this case n = 9,446 + 4 = 9,450 --> 9 + 4 + 5 0 = 18. Sufficient.

Hope it's clear.
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Re: If c is a positive integer between 1 and 9 inclusive  [#permalink]

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04 Apr 2017, 15:26
reached the same way as bunuel explained...
1. c can be 4 or c can be 9 - not sufficient.

2. c is 9, otherwise, it's not possible for n to be divisible by 9.
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Re: If c is a positive integer between 1 and 9 inclusive  [#permalink]

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19 Oct 2018, 12:15
jgk wrote:
If c is a positive integer between 1 and 9 inclusive, and n= 9,446 + c, then what is the value of c ?

(1) n is divisible by 5
(2) n is divisible by 9

If n is divisible by 5 then the units digit is 0 or 5.

C can be 4 or 9 so insufficient.

Eliminate A/D

Statement 2)

For the number to be divisible by 9 then the total sum of the digit must be a multiple of 9.

9+4+4+6 = 23

It can be divisible by 9 if c = 4

Since c is between 1 and 9 inclusive.

Sufficient.

Posted from my mobile device
Re: If c is a positive integer between 1 and 9 inclusive   [#permalink] 19 Oct 2018, 12:15
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