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# If the sum of five consecutive integers is t, then, in terms of t, wha

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
If the sum of five consecutive integers is t, then, in terms of t, wha  [#permalink]

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03 Jul 2018, 00:50
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Difficulty:

25% (medium)

Question Stats:

69% (01:26) correct 31% (01:38) wrong based on 56 sessions

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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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Joined: 31 Oct 2013
Posts: 837
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If the sum of five consecutive integers is t, then, in terms of t, wha  [#permalink]

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03 Jul 2018, 01:09
Bunuel wrote:
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. $$\frac{(t + 20)}{5}$$

Note: all the option has 5 as their denominator.

Given ,

t is the sum of 5 consecutive integers.

Among the answer choice , option E has the greatest numerator but the same denominator.

So option E gives us the greatest value.

The best answer is E.
Director
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: If the sum of five consecutive integers is t, then, in terms of t, wha  [#permalink]

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03 Jul 2018, 01:39
Bunuel wrote:
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. $$\frac{(t + 20)}{5}$$

sum of 1st five int =5*6/2=15=t
t5=(t+10)/5 satisfies

taking another set of consecutive int - just to confim
t1=10,t5=14
t in this case = 5/2(2*10+(4))
t=5/2*24=60
t5=(t+10)/5 =14
therefore D
Re: If the sum of five consecutive integers is t, then, in terms of t, wha &nbs [#permalink] 03 Jul 2018, 01:39
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# If the sum of five consecutive integers is t, then, in terms of t, wha

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