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GRE Math Challenge #29five consecutive integers is t [#permalink]
07 Sep 2014, 06:45
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. \(\frac{(t + 20)}{5}\)
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Last edited by Carcass on 09 May 2018, 09:52, edited 1 time in total.
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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 = (t10)/5 from the series assumed, the greatest no. is n+4 = {(t10)/5}+4 = (t10+20)/5 = (t+10)/5 the answer is D



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Re: GRE Math Challenge #29five 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 = (t10)/5 from the series assumed, the greatest no. is n+4 = {(t10)/5}+4 = (t10+20)/5 = (t+10)/5 the answer is D I too got the answer as D.



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Re: GRE Math Challenge #29five 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 #29five consecutive integers is t
[#permalink]
23 Jul 2020, 16:52





