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02 Jun 2016, 11:59
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (02:09) correct
34%
(01:53)
wrong
based on 124
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261,634,24x
If x represents the units digit of the number above, what is the value of x?
(1) The number above is divisible by 9.
(2) The number above is divisible by 12.
If x represents the units digit of the number above, what is the value of x?
(1) The number above is divisible by 9.
(2) The number above is divisible by 12.
02 Jun 2016, 12:52
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Bunuel
IMO answer is D
(1) The number above is divisible by 9. Sum of all the digits must be 9. By adding all digits we get 28+x. We need '8' to make it divisible by 9. Sufficient.
(2) The number above is divisible by 12. It must be divisible by both 3 and 4
To be divisible by 4 the last two digits must be divisible by 4. Si can either take 0 or 8. However, it must also be divisible by three, x can only take '8' as the value to have have the sum divisible by 3.
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05 Jun 2016, 01:51
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Bunuel
We know,Divisibility Rules: 1.If the sum of the digits is divisible by 9, so is the number
2.If the number is divisible by both 3 and 4, it is also divisible by 12.
For Statement 1 : The sum of the digits is only divisible by 9 only if x=8.So Sufficient
For Statement 2 : only when x=8 then the number is divisible by both 3 and 4.So Sufficient
