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# If N is divisible by 9, what is H?

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Intern
Joined: 03 Jul 2009
Posts: 15
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Kudos [?]: 12 [1] , given: 5

If N is divisible by 9, what is H? [#permalink]  03 Nov 2009, 22:12
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Question Stats:

90% (01:35) correct 9% (00:34) wrong based on 32 sessions
The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?

A) 1
B) 3
C) 5
D) 7
E) 9

What is the approach?

The answer is
[Reveal] Spoiler:
D
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Status: The last round
Joined: 18 Jun 2009
Posts: 1319
Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
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Kudos [?]: 425 [2] , given: 157

Re: If N is divisible by 9, what is H? [#permalink]  03 Nov 2009, 22:31
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This question is related to the very first lesson to be read for Quant preparation, the divisibility priniciple.

Divisibility rules: - Know them well

Integer is divisible by:
2 - if the integer is Even integer
3 - Sum of digits are divisible by 3
4 - Integer is divisible by 2 twice or Last 2 digits are divisible by 4
5 - Last digit is 0 or 5
6 - Integer is divisbile by 2 AND 3
8 - Integer is divisible by 2 three times
9 - Sum of digits is divisible by 9
10 - Last digit is 0

So now come back to your question, if N is divisible by 9 then the sum of all digits is divisible by 9. Hence "D" is the answer.
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Manager
Joined: 03 Jan 2013
Posts: 53
GPA: 3.8
WE: Engineering (Computer Software)
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Kudos [?]: 10 [0], given: 44

Re: If N is divisible by 9, what is H? [#permalink]  10 Jan 2013, 00:55
Sum of all digits should be divisible by 9 which implies 11+H = 18 (next integer in line, which is divisible by 9). Thus, H=7.
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Manager
Joined: 18 Oct 2011
Posts: 92
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
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Kudos [?]: 17 [0], given: 0

Re: If N is divisible by 9, what is H? [#permalink]  10 Jan 2013, 06:52
If the number is divisible by 9, it must also be divisible by 3. Only 7 yields such a number.

Answer: D
Re: If N is divisible by 9, what is H?   [#permalink] 10 Jan 2013, 06:52
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# If N is divisible by 9, what is H?

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