Latest A web Aptitude Question SOLUTION: Sum of a positive single digit number, its square & its cube is 3 more than a perfect square number. Sum of all such single digit numbers will be Note: 0 is considered as a perfec

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(#M40040755) A WEB Numerical Ability question Keep an EYE

Sum of a positive single digit number, its square & its cube is 3 more than a perfect square number. Sum of all such single digit numbers will be

Note: 0 is considered as a perfect square number

Asked In A web Venkatesha Perumal (9 years ago)

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Read Solution (3) :

Ram  (9 years ago)

sqrt(a+a^2+a^3-3)=a natural number
1,3,4 are the numbers
so Sum of the numbers=1+3+4=8

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BHASKAR MANDAL  (9 years ago)

answer is 8 as given by ram, here is my explanation
according to question we can write
1+1^2 + 1^3 -3 = 3-3 = 0, which is a perfect square
2+4+8 -3 = 11,
3+9+27 - 3 = 36
4+16+64- 3 =81
5+25+125 - 3 =152
6+36+216 -3 = 255
7+49+343 - 3 = 396
8+64+512 -3 = 584
9+81+729 -3 = 816

it is clear from above that only 1,3,4 gives perfect square
so the sum will be 1+3+4 = 8

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Chirag Ranjan Lahiri  (9 years ago)

From the question, we can write
1+1^2 + 1^3 -3 = 3-3 = 0, which is a perfect square
Similarly the other possibilities are
3 + 9 + 27 - 3 = 36
and 4 + 16 + 64 - 3 = 81

Hence the answer will be : (1+3+4) = 8(answer)

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