mysterymanrog
gmatophobia
DS Question - 2 - Nov 20
Is x^3 + y^3 > x^2 + y^2?
(1) x + y > x^2 + y^2
(2) x^4 + y^4 > x^2 + y^2
Source: Manhattan | Difficulty: Hard
Tricky Tricky. I am not sure if I got this one right, but A.
1) From plugging in values I can only think of cases where x and y are both proper fractions. e.g x=1/2 y=1/2, and all those cases lead to a "no" answer.
x and y cannot be negative integers here, else x+y will never be greater than, and if x or y is an integer and the other a fraction, statement 1 does not hold. However, X can be negative fraction Y can be positive, which leads to no answer as well.
2) very easy to disprove: x=y=-10 (no) but also x=y=10 (yes), two answers therefore insuff.
Well Tried buddy !! This is one of the hardest question on GC. The answer is E.
PS Question 3 - Nov 20 - This question was recently posted by Bunuel. A good one IMO

How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?
A. 6
B. 7
C. 8
D. 9
E. 10
Source: Others | Difficulty Level : Medium