If q and b are positive numbers, and q^3 + b^3 = 75, then the greatest possible value of q is between:
Choose the correct answer
A) 0 and 3
B) 3 and 5
C) 4 and 5
D) 5 and 7
E) 6 and 9
Yes the question is ambiguous, and the answer is certainly not C between 4 and 5 .   The question stated: q and b are positive numbers but not positive integers.   so fractions are allowed to be a part of calculation.   So if the answer is C then the value 4.5 = 9/2 must comply the equation.   (9/2)^3 + b^3 = 75   so, b^3 = -129/8 , which is not possible according to the question.   Moreover the question didn't mentioninclusive or not, so we can't assume that b is 4 .   hi asif,   question is correct IMO.   Sincemaximumvalues areuniqueso you cant take any value and make it satisfy with equation   question is asking that maximum value ofa(means that unique value ofa) is between...   its not saying all value of that range will satisfy.
<result>C</result>
If q and b are positive numbers, and q^3 + b^3 = 75, then the greatest possible value of q is between: