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Difficulty:
45%
(medium)
Question Stats:
67% (01:46) correct
33%
(01:43)
wrong
based on 1659
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The numbers x and y are not integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x + y.
(2) 1 is the integer that is closest to x - y
(1) 4 is the integer that is closest to x + y.
(2) 1 is the integer that is closest to x - y
04 Jan 2011, 14:05
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The numbers x and y are NOT integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x+y --> \(3.5<x+y<4.5\). Not sufficient.
(2) 1 is the integer that is closest to x-y --> \(0.5<x-y<1.5\). Not sufficient.
(1)+(2) Sum above inequalities: \(4<2x<6\) --> \(2<x<3\) --> so \(x\) can be closer to 2 (for example if \(x=2.1\)) as well as to 3 (for example if \(x=2.9\)). Not sufficient.
Answer: E.
Check similar question: if-500-is-the-multiple-of-99421.html
Hope it helps.
(1) 4 is the integer that is closest to x+y --> \(3.5<x+y<4.5\). Not sufficient.
(2) 1 is the integer that is closest to x-y --> \(0.5<x-y<1.5\). Not sufficient.
(1)+(2) Sum above inequalities: \(4<2x<6\) --> \(2<x<3\) --> so \(x\) can be closer to 2 (for example if \(x=2.1\)) as well as to 3 (for example if \(x=2.9\)). Not sufficient.
Answer: E.
Check similar question: if-500-is-the-multiple-of-99421.html
Hope it helps.
General Discussion
04 May 2011, 10:52
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Numbers X and Y are not integers. the value of x is closest to which integer?
A. 4 is the integer that is closest to X+Y
B. 1 is the integer that is closest to X-Y
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Answer: I dont see any helpful rephrasing. Concepts tested are decimals.
1) so x + y equals 3.51 to 4.49 and x can be 0.52 and close to one or could be equal 3.48 and close to 3. Insuff. AD out
2) so x - y can be equal to 0.51 or 1.49 for example and x can be 1.01 and close to 1 or x could be 0.48 and x close to 0 Insuff B out
1+2) we know 3.51 < x + y < 4.49
0.51 < x - y < 1.49
If we add both y cancels out and we get 4.02 < 2x < 5.98 and so 2.01 < x < 2.99 so x could be close to 2 or 3 Insuff
Answer is E.
A. 4 is the integer that is closest to X+Y
B. 1 is the integer that is closest to X-Y
---
Answer: I dont see any helpful rephrasing. Concepts tested are decimals.
1) so x + y equals 3.51 to 4.49 and x can be 0.52 and close to one or could be equal 3.48 and close to 3. Insuff. AD out
2) so x - y can be equal to 0.51 or 1.49 for example and x can be 1.01 and close to 1 or x could be 0.48 and x close to 0 Insuff B out
1+2) we know 3.51 < x + y < 4.49
0.51 < x - y < 1.49
If we add both y cancels out and we get 4.02 < 2x < 5.98 and so 2.01 < x < 2.99 so x could be close to 2 or 3 Insuff
Answer is E.
