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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The sum of the multiples of 4 less than 100 or The sum of  Question banks Downloads My Bookmarks Reviews Important topics
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Senior Manager Joined: 20 May 2014
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The sum of the multiples of 4 less than 100 or The sum of [#permalink] 00:00

Question Stats: 56% (01:12) correct 43% (01:12) wrong based on 37 sessions
 Quantity A Quantity B The sum of the multiples of 4 less than 100 The sum of the multiples of 5 less than 100

(A) The quantity in Column A is greater
(B) The quantity in Column B is greater
(C) The two quantities are equal
(D) The relationship cannot be determined from the information given

Kudos for correct solution.
[Reveal] Spoiler: OA Director Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344  , given: 66

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
2
KUDOS
We can proceed by steps:

1) number of elements in the two sets: we have to take the first and the last multiple, then compute last - first, divide by the number whose multiples are of interest and sum 1. In our case, in column A, we have $$\frac{100-4}{4}+1 = 25$$, while for column B we get $$\frac{100-5}{5}+1 = 20$$.

2) Compute the sum. The formula for the sum of an arithmetic progression is $$sum = \frac{n}{2}(first+last)$$, where n is the number of elements in the progression and first and last are the first and the last elements. Thus, for column A, $$\frac{25}{2}(4+100) = 1300$$, while column B equates $$\frac{20}{2}(5+100) = 1050$$.

We conclude that A is greater!
Intern Joined: 15 May 2018
Posts: 38
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Kudos [?]: 5 , given: 1

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
Bunuel wrote:
 Quantity A Quantity B The sum of the multiples of 4 less than 100 The sum of the multiples of 5 less than 100

(A) The quantity in Column A is greater
(B) The quantity in Column B is greater
(C) The two quantities are equal
(D) The relationship cannot be determined from the information given

Kudos for correct solution.

My Answer is A
Intern  Joined: 04 May 2017
Posts: 36
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Kudos [?]: 22 , given: 6

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
Sum of multiples of 4 = 4(1+2+..+25)=4*(25+1)*25/2=50*26

Sum of multiples of 5 = 5(1+2+..+20)=5*(1+20)*20/2=50*21

-> QA > QB -> A.
_________________

Do not pray for an easy life, pray for the strength to endure a difficult one - Bruce Lee

Manager Joined: 27 Feb 2017
Posts: 189
Followers: 0

Kudos [?]: 49 , given: 15

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
IlCreatore wrote:
We can proceed by steps:

1) number of elements in the two sets: we have to take the first and the last multiple, then compute last - first, divide by the number whose multiples are of interest and sum 1. In our case, in column A, we have $$\frac{100-4}{4}+1 = 25$$, while for column B we get $$\frac{100-5}{5}+1 = 20$$.

2) Compute the sum. The formula for the sum of an arithmetic progression is $$sum = \frac{n}{2}(first+last)$$, where n is the number of elements in the progression and first and last are the first and the last elements. Thus, for column A, $$\frac{25}{2}(4+100) = 1300$$, while column B equates $$\frac{20}{2}(5+100) = 1050$$.

We conclude that A is greater!

Hi, for step 1, is there a simplified formula that is easier to remember for exam?
Also, it says less that 100, so shouldnt we consider multiples less than 100? Like is 100 still included?

And thanks for the explanation btw
Intern Joined: 06 Jul 2018
Posts: 31
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Kudos [?]: 1 , given: 5

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
it should be given that multiples are of what kind...positive or negative,and inclusive or exclusive....
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 , given: 397

Re: The sum of the multiples of 4 less than 100 or The sum of [#permalink]
Expert's post
ragini123 wrote:
it should be given that multiples are of what kind...positive or negative,and inclusive or exclusive....

Multiples are always considered as positive unless explicitly mentioned.

Less than 100 means that 100 should not be considered for calculation in this case.
_________________

Sandy
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Try our free Online GRE Test Re: The sum of the multiples of 4 less than 100 or The sum of   [#permalink] 09 Aug 2018, 05:19
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