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# GRE Math Challenge #29-five consecutive integers is t

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GRE Math Challenge #29-five consecutive integers is t [#permalink]  07 Sep 2014, 06:45
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Question Stats:

43% (01:15) correct 56% (00:55) wrong based on 51 sessions
If the sum of five consecutive integers is t, then, in terms of t, what is the greatest of these integers?

A. $$\frac{(t -20)}{5}$$

B. $$\frac{(t - 10)}{5}$$

C. $$(\frac{t}{5})$$

D. $$\frac{(t + 10)}{5}$$

E. $$\frac{(t + 20)}{5}$$
[Reveal] Spoiler: OA

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Sandy
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Last edited by Carcass on 09 May 2018, 09:52, edited 1 time in total.
Edited the OA
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Re: GRE Math Challenge #29 [#permalink]  10 Sep 2014, 02:23
assuming the consecutive nos. as n,n+1,n+2,n+3,n+4
we have => n+n+1+n+2+n+3+n+4 = t
=> 5n+10 = t => n = (t-10)/5
from the series assumed, the greatest no. is n+4 = {(t-10)/5}+4 = (t-10+20)/5 = (t+10)/5
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Re: GRE Math Challenge #29-five consecutive integers is t [#permalink]  29 Mar 2018, 19:14
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sandy wrote:
If the sum of five consecutive integers is t, then, in terms of t, what is the greatest of these integers?

A. (t -20)/5
B. (t - 10)/5
C. (t/5)
D. (t + 10)/5
E. (t + 20)/5

the ans should be D not E, please check it out.

the mean of the 5 consecutive integer is t/5= median and the greatest is (t/5)+ 2 Which is equal to D (t + 10)/5.
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Re: GRE Math Challenge #29 [#permalink]  09 May 2018, 06:06
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13divyasha wrote:
assuming the consecutive nos. as n,n+1,n+2,n+3,n+4
we have => n+n+1+n+2+n+3+n+4 = t
=> 5n+10 = t => n = (t-10)/5
from the series assumed, the greatest no. is n+4 = {(t-10)/5}+4 = (t-10+20)/5 = (t+10)/5

I too got the answer as D.
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Re: GRE Math Challenge #29-five consecutive integers is t [#permalink]  23 Jul 2020, 16:52
Another option for solving for those of us who don't like algebra:

Pick easy numbers for the consecutive series, (I chose 1, 2, 3, 4, 5). Sum of all 5 will equal n*(n+1)/2 where n=5, so sum = 15, therefore t = 15.

Now check the answer choices to see which one gives you 5 as an answer. This is similar to asking: "Which of the following CAN be equal to 5 where t = 15?"

A) <0, cross it out
B) =1, cross it out
C) =3, cross it out
D) =5, this is the answer

if you want to check E for good measure...
E) =7, cross it out
Re: GRE Math Challenge #29-five consecutive integers is t   [#permalink] 23 Jul 2020, 16:52
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