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12 Nov 2012, 23:18
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D
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Difficulty:
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Question Stats:
74% (01:17) correct
26%
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What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3
(2) When B is divided by 12, the remainder is 9
(1) When B is divided by 18, the remainder is 3
(2) When B is divided by 12, the remainder is 9
12 Nov 2012, 23:41
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actleader
remainder of B/6 ?
Statement 1: B/18 gives a remainder of 3. Since 18 is a multiple of 6 , remainder when B is divided by 6 would also be 3. Sufficient
Statement 2: B/12 gives a remainder of 9. Since 12 is a multiple of 6 , remainder when B is divided by 6 could also be 9. However 9 is more than 6. So we can take out another 6 out of it. Remainder would be 9-6 =3. Sufficient
Ans D it is.
13 Nov 2012, 04:19
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What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3 --> \(B=18q+3=6*(3q)+3\), thus B divided by 6 yields the remainder of 3. Sufficient.
(2) When B is divided by 12, the remainder is 9 --> \(B=12p+9=6*(2p+1)+3\), thus B divided by 6 yields the remainder of 3. Sufficient.
Answer: D.
(1) When B is divided by 18, the remainder is 3 --> \(B=18q+3=6*(3q)+3\), thus B divided by 6 yields the remainder of 3. Sufficient.
(2) When B is divided by 12, the remainder is 9 --> \(B=12p+9=6*(2p+1)+3\), thus B divided by 6 yields the remainder of 3. Sufficient.
Answer: D.
