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Re: What is the remainder when is divided by 6 if is a positiv [#permalink]
12 Nov 2012, 22:41

1

This post received KUDOS

actleader wrote:

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

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

Re: What is the remainder when is divided by 6 if is a positiv [#permalink]
13 Nov 2012, 10:12

Vips0000 wrote:

actleader wrote:

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

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.

This kind of solving is really fast but as for me it is on the high level, but how can I deduct that 9-6=3 I can't find the clue to that

Re: What is the remainder when is divided by 6 if is a positiv [#permalink]
13 Nov 2012, 18:32

actleader wrote:

Vips0000 wrote:

actleader wrote:

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

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.

This kind of solving is really fast but as for me it is on the high level, but how can I deduct that 9-6=3 I can't find the clue to that

The clue lies in the simple principle 'remainder can not be greater than divisor' what u need to do is take out as many 6s from remainder as possible, in case its greater than 6. for example if the same question says, B divided by 24 gives 19 so what is remainder when B/6? simply 19 - 3*6 = 1
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