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# If x = 103, which of the following numbers could be added to x to crea

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Math Expert
Joined: 02 Sep 2009
Posts: 60460
If x = 103, which of the following numbers could be added to x to crea  [#permalink]

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11 Apr 2016, 03:58
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5% (low)

Question Stats:

90% (00:38) correct 10% (00:30) wrong based on 46 sessions

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If x = 103, which of the following numbers could be added to x to create a sum that is divisible by 6?

A. 0
B. 1
C. 2
D. 4
E. 5

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Joined: 06 Nov 2014
Posts: 1868
Re: If x = 103, which of the following numbers could be added to x to crea  [#permalink]

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11 Apr 2016, 08:48
Bunuel wrote:
If x = 103, which of the following numbers could be added to x to create a sum that is divisible by 6?

A. 0
B. 1
C. 2
D. 4
E. 5

Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3
Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3

x = 103. We need to make this number even in order for it to be divisible by 2.
Hence we need to add an odd number to it.
Hence left over options are B and E

103 + 1 = 104. Sum of digits = 5.
This is not divisible by 3.

103 + 5 = 108. Sum of digits = 9
This is divisible by 3.
Hence 5 should be added to 103 to make the resultant a multiple of 6.
Correct Option: E
Re: If x = 103, which of the following numbers could be added to x to crea   [#permalink] 11 Apr 2016, 08:48
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