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Number Properties w/ Remainders

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by Mathsbuddy » Sun Dec 08, 2013 11:25 pm
Using the quotient formula
a + b/c = (ac + b)/c
x = ac + b
b = remainder

1) When x is divided by 2 the remainder is 1:
c = 2, b = 1, x = 2a + 1
and when x is divided by 3, the remainder is 0
c = 3, b = 0, x = 3a

So 2a + 1 = 3a -> a = 1, x = 3
If 3 is divided by 6, R = 3
SUFFICIENT.

2) When x is divided by 12 the remainder is 3:
c = 12, b = 3, x = 12a + 3

If 12a + 3 is divided by 6, R = 3
SUFFICIENT
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by kobel51 » Wed Dec 11, 2013 8:28 am
Can we assume that a quotient is always an integer?
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by sahilbilga » Tue Jan 14, 2014 12:57 am
Answer is D.

Pretty Simple.. :)
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by jaspreetsra » Mon Oct 20, 2014 9:32 am
Answer: D
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by nikhilgmat31 » Mon Jun 22, 2015 2:54 am
Indeed D. Got question.
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