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# The number N is 6H12, the hundred's digit being represented by H. What

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Joined: 02 Sep 2009
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The number N is 6H12, the hundred's digit being represented by H. What  [#permalink]

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13 Dec 2017, 20:27
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45% (medium)

Question Stats:

59% (01:16) correct 41% (01:13) wrong based on 52 sessions

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The number N is 6H12, the hundred's digit being represented by H. What is the value of H?

(1) N is divisible by 4.
(2) N is divisible by 9.

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Re: The number N is 6H12, the hundred's digit being represented by H. What  [#permalink]

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13 Dec 2017, 20:34
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From statement 1, We can conclude that irrespective of the value of H the number 6H12 is divisible by 4.
Hence insufficient

From statement 2, H has to be either 0 or 9. Hence insufficient.

Combining we can see that for both H=0 or 9 6H12 is divisible by 4 as well as 9.
Thus H has two values 0 and 9. Hence insufficient

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Re: The number N is 6H12, the hundred's digit being represented by H. What  [#permalink]

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13 Dec 2017, 22:39
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Bunuel wrote:
The number N is 6H12, the hundred's digit being represented by H. What is the value of H?

(1) N is divisible by 4.
(2) N is divisible by 9.

(1) For a number to be divisible by 4, its last two digits must be divisible by 4. So in case of 6H12, since last two digits are divisible by 4 (12 is a multiple of 4), 6H12 WILL be divisible by 4, irrespective of the value of H (meaning H can take any value from 0 to 9 doesnt matter). So Insufficient.

(2) For a number to be divisible by 9, its sum of digits must be divisible by 9. So 6+H+1+2 = 9+H must be divisible by 9. We can see that H can thus take two values: '0' and '9' for which the sum of digits will become 9 and 18 respectively, divisible by 9 in either case. So two values of H are possible. Not Sufficient.

Combining the two statements, still H can take two values of 0 and 9, so Insufficient.

Re: The number N is 6H12, the hundred's digit being represented by H. What   [#permalink] 13 Dec 2017, 22:39
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