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18 Mar 2012, 06:25
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:57) correct
36%
(01:56)
wrong
based on 452
sessions
History
Date
Time
Result
Not Attempted Yet
If xy < 4, is x < 2 ?
Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>2).
(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.
(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>4\), so \(x\) must be less than 2. Sufficient.
Answer: B.
Hope it's clear.
Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>2).
(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.
(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>4\), so \(x\) must be less than 2. Sufficient.
Answer: B.
Hope it's clear.
18 Mar 2012, 21:38
Kudos
Bookmarks
Bunuel
If xy < 4, is x < 2 ?
Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>=2).
(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.
(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>2\), so \(x\) must be less than 2. Sufficient.
Answer: B.
Hope it's clear.
Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>=2).
(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.
(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>2\), so \(x\) must be less than 2. Sufficient.
Answer: B.
Hope it's clear.
Yes Bunuel. It's clear. Thanks!
17 Jun 2013, 05:03
Kudos
Bookmarks
Bumping for review and further discussion*. Get a kudos point for an alternative solution!
*New project from GMAT Club!!! Check HERE
*New project from GMAT Club!!! Check HERE
Theory on Inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html
All DS Inequalities Problems to practice: search.php?search_id=tag&tag_id=184
All PS Inequalities Problems to practice: search.php?search_id=tag&tag_id=189
700+ Inequalities problems: inequality-and-absolute-value-questions-from-my-collection-86939.html
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html
All DS Inequalities Problems to practice: search.php?search_id=tag&tag_id=184
All PS Inequalities Problems to practice: search.php?search_id=tag&tag_id=189
700+ Inequalities problems: inequality-and-absolute-value-questions-from-my-collection-86939.html
