Sail E0 Webinar
Question


Given that a,b and c are positive real numbers, such that a+b+c= x, then which of the following is true?


Options:
A .   (x-a)(x-b)(x-c)≥8abc
B .   1/a + 1/b + 1/c ≥ 9/x
C .   (x-a)(x-b)(x-c)≥8/27a3
D .   a,b and c
E .   None of a, b and c
Answer: Option D
:
D

option (d)

Assumption of values is the easiest way to solve. a=b=c=1 and x=3.

Take a=1, b=2 and c=3. x=6. all 3 still hold good. Answer option d.

Note: with answer options like “all of these” and “none of these” you need to be a bit careful. Do not mark the answer based on only one set of values. Take two cases and see which options fit in BOTH the cases.



Was this answer helpful ?
Next Question

Submit Solution

Your email address will not be published. Required fields are marked *

More Questions on This Topic :


Latest Videos

Latest Test Papers