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

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!!

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

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