If y is an integer and y = |x| + x, is y = 0?
(1) x < 0
(2) y < 1
I rephrased the original question as Is x<0?
Statement 1 : SF
Statement II : if y<1; x+|x|<1..on solving we get 2 ranges for x
- X<0 or,
- 0<X<0.5
Basis this II is insufficient.. Where am I going wrong ?
Can some experts help me with this? How to come up with the correct answer?
Need thorough explanation regarding this one. Thanks
If y is an integer and y = |x| + x, is y = 0?
This topic has expert replies
- ahmedshafea
- Junior | Next Rank: 30 Posts
- Posts: 19
- Joined: Wed Aug 30, 2017 10:04 am
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi ahmedshafea,
We're told that Y is INTEGER and that Y = |X| + X. We're asked if Y = 0. This is a YES/NO question. Before we deal with the two Facts, we can certainly 'rewrite' the given question. Y would equal 0 under two circumstances:
-If X is ANY NEGATIVE value.
-If X is 0.
Y would NOT equal 0 if X was a positive (in this situation, Y would equal 2X). Thus, the question is ultimately asking... "Is X less than OR equal to 0?"
1) X < 0
Fact 1 clearly defines X as negative, so the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
2) Y < 1
The prompt tells us that Y is an INTEGER - and since Y cannot be negative, the only integer that's possible here is 0. Thus, the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
We're told that Y is INTEGER and that Y = |X| + X. We're asked if Y = 0. This is a YES/NO question. Before we deal with the two Facts, we can certainly 'rewrite' the given question. Y would equal 0 under two circumstances:
-If X is ANY NEGATIVE value.
-If X is 0.
Y would NOT equal 0 if X was a positive (in this situation, Y would equal 2X). Thus, the question is ultimately asking... "Is X less than OR equal to 0?"
1) X < 0
Fact 1 clearly defines X as negative, so the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
2) Y < 1
The prompt tells us that Y is an INTEGER - and since Y cannot be negative, the only integer that's possible here is 0. Thus, the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: D
GMAT assassins aren't born, they're made,
Rich