Question : Directions: If the sum of a number, its square and, its cube is 584, then what is the number?
Option 1: 8
Option 2: 6
Option 3: 7
Option 4: 9
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Correct Answer: 8
Solution :
Let the number be X
According to the question –
X + X
2
+ X
3
= 584
Let's check each option –
First option:
8; 8 + (8)
2
+ (8)
3
= 8 + 64 + 512 = 584
584 = 584
Second option:
6; 6 + (6)
2
+ (6)
3
= 6 + 36 + 216 = 258
258
≠ 584
Third option:
7; 7 + (7)
2
+ (7)
3
= 7 + 49 + 343 = 399
399
≠ 584
Fourth option:
9; 9 + (9)
2
+ (9)
3
= 9 + 81 + 729 = 819
819
≠ 584
So, the number is equal to 8. Hence, the first option is correct.
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