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Your email address will not be published.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