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What is the value of x? (1) X^3 is a 2-digit positive odd

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What is the value of x?
(1) X^3 is a 2-digit positive odd integer.
(2) X^4 is a 2-digit positive odd integer.

2 Answers

(1)X^3=+ve 2digit odd --> X =+ve odd { odd x odd x odd= odd}
---> 1, 3, 5, 7,9....
1^3=1, 3^3=27; 5^3=125.....hence X=3
(2) X^4=+ve 2 digit odd --> X =+odd or -ve odd
----> ..-5, -3,-1 or 1, 3, 5, 7,9....
1^4=1, 3^4=91; 5^4=625.....hence  X=  +3
(-1)^4=1; (-3)^4=91; (-5)^4=625..... hence X=-3
Ans is A
answered Jun 5, 2018 by Beginner (1 point)
If x^3 and x^4 both are integers, x cannot be irrational. The only possibility for x is 3. Hence C is the right choice.
answered Jun 14, 2016 by Beginner (21 points)
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