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If t is a positive integer and r is a reminder when t^2 + 5t

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If t is a positive integer and r is a reminder when t^2 + 5t [#permalink]

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New post 30 Nov 2008, 11:09
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If t is a positive integer and r is a reminder when t^2 + 5t + 6 is divided by 7, what is the value of r ?

1) When t is divided by 7, the reminder is 6
2) When t^2 is divided by 7, the reminder is 1

Any help?

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Re: Data Sufficency - GMAT prep?? [#permalink]

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New post 30 Nov 2008, 12:15
jugolo1 wrote:
If t is a positive integer and r is a reminder when t^2 + 5t + 6 is divided by 7, what is the value of r ?

1) When t is divided by 7, the reminder is 6
2) When t^2 is divided by 7, the reminder is 1

Any help?


A I believe

1) t/7 => remainder of 6
Therefore, t=7x+6
replacing t in: t^2+5t+6, we get (7x+6)^2 + 5(7x+6) + 6
= 49x^2 + 36 + 12.7x + 5.7x +30 + 6
= 49x^2 +17.7x + 72 => remainder 2

2) t^2 = 7y + 1
replacing t in: t^2+5t+6, we get 7y+1 + 5(SQRT(7y+1)) + 6 = 7y+7 + 5(SQRT(7y+1))
=> In suff..

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Re: Data Sufficency - GMAT prep?? [#permalink]

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New post 30 Nov 2008, 22:55
twilight wrote:
jugolo1 wrote:
If t is a positive integer and r is a reminder when t^2 + 5t + 6 is divided by 7, what is the value of r ?

1) When t is divided by 7, the reminder is 6
2) When t^2 is divided by 7, the reminder is 1

Any help?


A I believe

1) t/7 => remainder of 6
Therefore, t=7x+6
replacing t in: t^2+5t+6, we get (7x+6)^2 + 5(7x+6) + 6
= 49x^2 + 36 + 12.7x + 5.7x +30 + 6
= 49x^2 +17.7x + 72 => remainder 2

2) t^2 = 7y + 1
replacing t in: t^2+5t+6, we get 7y+1 + 5(SQRT(7y+1)) + 6 = 7y+7 + 5(SQRT(7y+1))
=> In suff..



Agree with A.

Another apporach can be to simplify t^2+5t+6 = (t+3) * (t +2)

and plug in numbers with the help of t = 7k + 6

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Re: Data Sufficency - GMAT prep?? [#permalink]

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New post 01 Dec 2008, 01:39
I think its E

lets take t=8 then t^2= 64 and when we divide it by 7 then the remainder is 1

so when we put the value of t=8 in the main equation t^2+5t+6 and divide by 7 we get a remainder of 5 since we are not getting on a finalized answer the answer is E.

Note: I am not very good at maths, i have just tried to attempt it, if i am wrong at any step then kindly tell me.

Regards
Gurpreet

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Re: Data Sufficency - GMAT prep?? [#permalink]

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New post 01 Dec 2008, 04:12
I am sorry the answer is A ...........
my mistake.....................

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Re: Data Sufficency - GMAT prep??   [#permalink] 01 Dec 2008, 04:12
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