Sum to 75

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Sum to 75

by bhumika.k.shah » Mon Feb 01, 2010 9:42 pm
How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
Source: — Problem Solving |

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by sanju09 » Mon Feb 01, 2010 10:50 pm
bhumika.k.shah wrote:How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
repeat post is regretted
Last edited by sanju09 on Mon Feb 01, 2010 10:56 pm, edited 1 time in total.
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by sanju09 » Mon Feb 01, 2010 10:51 pm
sanju09 wrote:
bhumika.k.shah wrote:How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
Miss 1, take 4, 9, 16, 25, 36, 49, 64 in to account only, and then delete 64 from the list, for no combination from the remaining 6 square integers may add up to 11. Carry on deleting; now 49, for no combination from the remaining 5 square integers may add up to 26; then 36, for no combination from the remaining 4 square integers may add up to 39 and finally forget 25 going to combine with the three little champs 4, 9, and 16 to give us a total of 75. Fusssss...

When we consider a set, we mean no repetition in elements, if by any chance, this question is allowing us to consider repetition in elements too, then a shot can be tried, but, order first!!
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by tanviet » Mon Feb 01, 2010 11:27 pm
this is from GMATPREP

but your writing is wrong

"how many different intergers", not " different set of intergers"

"how many different integers, sum of square of which is 75

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by sanju09 » Mon Feb 01, 2010 11:45 pm
duongthang wrote:
"how many different integers, sum of square of which is 75
ok so they mean, any integer, "each greater than 1" is not the case really. Is it so, duongthang?
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by bhumika.k.shah » Mon Feb 01, 2010 11:47 pm
probably.not quite sure.came across it somewhere.thought of posting it.to know different approaches.
duongthang wrote:this is from GMATPREP

but your writing is wrong

"how many different intergers", not " different set of intergers"

"how many different integers, sum of square of which is 75

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by ajith » Tue Feb 02, 2010 12:06 am
I see only way to solve this is to mix and match and that is very boring since I can at least 10 options and there is a chance that I overlook some possibilities.
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