If x is negative integer , which of the following has the least value?.
a)x^2-0.50
b)x^2-0.51
c)x^3-.502
d)x^3-.511
e)x^4-.512
Ans: D
a)x^2-0.50
b)x^2-0.51
c)x^3-.502
d)x^3-.511
e)x^4-.512
Ans: D
Solution:
Note that x^2 and x^4 will be positive even for negative values of x.
So, terms having x^3 will have lesser value, since x is negative.
Now, -.511 < -.502
So, x^3 - .511 < x^3 - .502
This means that d) has the least value.
The correct answer is d.
