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# If the product of three consecutive positive integers is 15600 then

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Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1405
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Real Estate)
If the product of three consecutive positive integers is 15600 then  [#permalink]

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06 Sep 2018, 23:31
2
00:00

Difficulty:

45% (medium)

Question Stats:

70% (02:57) correct 30% (02:01) wrong based on 27 sessions

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If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

A) 1777
B) 1785
C) 1875
D) 1877
E) 1897

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"Do not watch clock; Do what it does. KEEP GOING."

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Joined: 02 Aug 2009
Posts: 7334
Re: If the product of three consecutive positive integers is 15600 then  [#permalink]

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07 Sep 2018, 03:33
AkshdeepS wrote:
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

A) 1777
B) 1785
C) 1875
D) 1877
E) 1897

$$15600=2*2*3*13*2*5*2*5$$
A immediate though should no 3 consecutive integers will be multiple of 5, so both 5s have to be together
so one number is 25 or a multiple of 25
let us work on remaining factors 2*2*2*2*3*13... 13*2 will give us 26 and 2*2*2*3 will give 24
so 3 integers = 24*25*26
sum of square = $$24^2+25^2+26^2=(25-1)^2+25^2+(25+1)^2=25^2-2*25+1+25^2+25^2+2*25+1=3*25^2+2=3*625+2=1875+2=1877$$
D
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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
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: If the product of three consecutive positive integers is 15600 then   [#permalink] 07 Sep 2018, 03:33
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