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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If x and y are integers, and x/y = 1.64,
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06 Jun 2018, 04:58
06 Jun 2018, 04:58
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Question Stats:
50% (01:32) correct
50% (01:00) wrong based on 138 sessions
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If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x?
A) -656
B) -82
C) 123
D) 205
E) 288
A) -656
B) -82
C) 123
D) 205
E) 288
Target Test Prep Representative
Joined: 09 May 2016
Status:Head GRE Instructor
Affiliations: Target Test Prep
Posts: 183
Given Kudos: 114
Location: United States
Re: If x and y are integers, and x/y = 1.64,
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07 Jun 2018, 15:47
07 Jun 2018, 15:47
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GreenlightTestPrep wrote:
If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x?
A) -656
B) -82
C) 123
D) 205
E) 288
A) -656
B) -82
C) 123
D) 205
E) 288
We can simplify the equation:
x = 1.64y
100x = 164y
100x/164 = y
100x/164 = y
25x/41 = y
In order for y to be an integer, we see that x must be a multiple of 41, and only 288 is not a multiple of 41.
Answer: E
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x and y are integers, and x/y = 1.64,
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08 Jun 2018, 06:17
08 Jun 2018, 06:17
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GreenlightTestPrep wrote:
If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x?
A) -656
B) -82
C) 123
D) 205
E) 288
A) -656
B) -82
C) 123
D) 205
E) 288
Given: x/y = 1.64
Rewrite as: x/y = 164/100
Simplify: x/y = 41/25
So, it's possible that x = 41 and y = 25
We can also create infinitely many fractions that are EQUIVALENT to 41/25
For example, we can take 41/25 and multiply top and bottom by 2 to get: 82/50
So, it's possible that x = 82 and y = 50
Likewise, we can take 41/25 and multiply top and bottom by 3 to get: 123/75
So, it's possible that x = 123 and y = 75
In general, we can see that x can be ANY multiple of 41
Check the answer choices....
A) -656 IS a multiple of 41. So, x COULD equal -656. ELIMINATE A
B) -82 IS a multiple of 41. So, x COULD equal -82. ELIMINATE B
C) 123 IS a multiple of 41. ELIMINATE C
D) 205 IS a multiple of 41. ELIMINATE D
E) 288 is NOT a multiple of 41.
Answer: E
Cheers,
Brent
