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Sum to 75

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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
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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!!
The mind is everything. What you think you become. -Lord Buddha



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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?
The mind is everything. What you think you become. -Lord Buddha



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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.
Always borrow money from a pessimist, he doesn't expect to be paid back.
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