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What is the sum of the multiples of 4 between 13 and 125 inclusive?

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What is the sum of the multiples of 4 between 13 and 125 inclusive?  [#permalink]

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New post 22 Dec 2015, 03:28
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:49) correct 31% (02:13) wrong based on 188 sessions

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Re: What is the sum of the multiples of 4 between 13 and 125 inclusive?  [#permalink]

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New post 22 Dec 2015, 04:13
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1
Bunuel wrote:
What is the sum of the multiples of 4 between 13 and 125 inclusive?

A. 1,890
B. 1,960
C. 2,200
D. 3,780
E. 4,400



the fastest way in an AP is to find the average and multiply with total integers..
between 13 and 125, the smallest multiple of 4 is 16 and largest =124..
average=(16+124)/2=70..
total numbers = (124-16)/4 + 1= 27+1=28..
sum=28*70=1960
ans B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the sum of the multiples of 4 between 13 and 125 inclusive?  [#permalink]

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New post 22 Dec 2015, 04:31
The first multiple of 12 between 13 and 125 is 16 while the last is 124
total number of terms is given by 124=16+(n-1)4
4n-4=108
n=112/4=28

or,

(124-16)/4 + 1 =28

so , we have 28 multiples of 12 between 13 and 125
sum =14(2*16+(27)4)
=14(140)
=1960
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Re: What is the sum of the multiples of 4 between 13 and 125 inclusive?  [#permalink]

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New post 22 Feb 2018, 08:20
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Re: What is the sum of the multiples of 4 between 13 and 125 inclusive? &nbs [#permalink] 22 Feb 2018, 08:20
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