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Which of the positive numbers x or y is greater?
[#permalink]
03 Jul 2016, 09:53
03 Jul 2016, 09:53
6
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50
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Expert Reply
00:00
A
B
C
D
E
Difficulty:
45%
(medium)
Question Stats:
66%
(01:20)
correct
34%
(01:25)
wrong
based on 2245
sessions
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Which of the positive numbers x or y is greater?
(1) y = 2x
(2) 2x + 5y = 12
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(1) y = 2x
(2) 2x + 5y = 12
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RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2547
Concentration: Operations, Strategy
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Re: Which of the positive numbers x or y is greater?
[#permalink]
04 Jul 2016, 04:21
04 Jul 2016, 04:21
2
Kudos
Fact 1) Y is always double X...........Answer to question is always Yes..... Sufff
Fact 2) 2x + 5y = 12 many value for X and Y
X= 1/2, Y=11 ...Answer to question is Yes
X= 11/2, Y= 1/5 .....Answer to question is No
Insuff.
Answer: A
Fact 2) 2x + 5y = 12 many value for X and Y
X= 1/2, Y=11 ...Answer to question is Yes
X= 11/2, Y= 1/5 .....Answer to question is No
Insuff.
Answer: A
Manager
Joined: 05 Nov 2014
Posts: 84
Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
GPA: 3.75
Re: Which of the positive numbers x or y is greater?
[#permalink]
11 Jul 2017, 06:29
11 Jul 2017, 06:29
2
Kudos
Which of the positive numbers x or y is greater?
(1) y = 2x
(2) 2x + 5y = 12
Solution:
Statement 1: x=2,y=4. or x=20.5,y=41. So irrespective of the values this statement holds true. Sufficient.
Statement 2:x=5,y=0.4 or x=1,y=2. Therefore this statement is insufficient.
Therefore the answer is Option A.
(1) y = 2x
(2) 2x + 5y = 12
Solution:
Statement 1: x=2,y=4. or x=20.5,y=41. So irrespective of the values this statement holds true. Sufficient.
Statement 2:x=5,y=0.4 or x=1,y=2. Therefore this statement is insufficient.
Therefore the answer is Option A.
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Posts: 1285
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Which of the positive numbers x or y is greater?
[#permalink]
07 Oct 2019, 09:38
07 Oct 2019, 09:38
Expert Reply
Bunuel wrote:
Which of the positive numbers x or y is greater?
(1) y = 2x
(2) 2x + 5y = 12
(1) y = 2x
(2) 2x + 5y = 12
Statement 1:
y = x + x and x is confirmed to be positive, so y > x is true. Sufficient.
Statement 2:
We can have y=0.000001 or y = 2. Insufficient.
Ans: A
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Re: Which of the positive numbers x or y is greater?
[#permalink]
30 Jun 2021, 10:36
30 Jun 2021, 10:36
1
Bookmarks
Expert Reply
Bunuel wrote:
Which of the positive numbers x or y is greater?
(1) y = 2x
(2) 2x + 5y = 12
(1) y = 2x
(2) 2x + 5y = 12
Solution:
Question Stem Analysis:
We need to determine whether x or y is greater, given that both are positive.
Statement One Alone:
Since both x and y are positive and y is twice x, then y is the greater of the two. Statement one alone is sufficient.
Statement Two Alone:
Statement two alone is not sufficient. For example, if x = 1 and y = 2 (notice that 2(1) + 5(2) = 12), then y is greater. However, if x = 3.5 and y = 1 (notice that 2(3.5) + 5(1) = 12), then x is greater.
Answer: A
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Re: Which of the positive numbers x or y is greater?
[#permalink]
07 Oct 2022, 07:46
07 Oct 2022, 07:46
so, number is not the same as integer? i picked D because it i thought x and y have to whole numbers, in which case only one combination is possible: x = 1 and y = 2
Bunuel
Bunuel
Re: Which of the positive numbers x or y is greater?
[#permalink]
07 Oct 2022, 10:16
07 Oct 2022, 10:16
Expert Reply
amishag wrote:
so, number is not the same as integer? i picked D because it i thought x and y have to whole numbers, in which case only one combination is possible: x = 1 and y = 2
Bunuel
Bunuel
No, "number" and "integer" are not synonymous. All integers are numbers but not all numbers are integers.
A number (a real number) can be:
1. An integer: ..., -3, -2, -1, 0, 1, 2, 3, ...;
2. A rational, non-integer, for example, -8878/99, ..., -3/2, ..., 1/2, ..., 67/11, ...
3. An irrational number: \(-2\sqrt{6}\), ..., \(-\sqrt{2}\), ..., \(\sqrt{3}\), ..., \(\pi\)
2. Properties of Integers
- Theory
Math: Number Theory
Number Properties: Tips and hints
Advanced Number Properties on GMAT (All 5 parts)
Do you make these 3 mistakes in GMAT Even-Odd Questions?
Everything about Factorials on the GMAT
Solving Complex Problems Using Number Line
For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
Hope it helps.
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Which of the positive numbers x or y is greater?
[#permalink]
11 Oct 2022, 05:15
11 Oct 2022, 05:15
I agree that A is sufficient but if you combine A and B sentences and substitute y= 2x in 2x+5y=12, you get X=1 and Y=2 which is a more precise answer to A. Bcz they didn't mention if the number is rational or integer they just mentioned it is a positive number.
ScottTargetTestPrep Bunuel GMATNinja
ScottTargetTestPrep Bunuel GMATNinja
gmatclubot
Which of the positive numbers x or y is greater? [#permalink]
11 Oct 2022, 05:15
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