Two positive integers x and y are possible for which sum of x,x^2,x^3 and similarly y,y^2,y^3 are ne

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19 Dec 2011 integer

Two positive integers x and y are possible for which sum of x,x^2,x^3 and similarly y,y^2,y^3 are nearer to 100 than the sum of number, its square and cube for other integers. What will be the positive difference between the sum of x,x^2,x^3 and y,y^2,y^3

OPtion

1) 45
2) 54
3) 58
4) 63
5) 68
6) 70
7) 71
8) 75
9) 87
10) none of these

Solution

The value of sum (x+x^2+x^3) for 3, 4, 5 and 6 are 39, 84, 155 and 258 respectively. Nearer to 100 are 84 and 155, so difference = 155-84 = 71

Correct Option: 7 Best Solution (2)