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If x and y are integers, and x/y = 1.64,

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If x and y are integers, and x/y = 1.64, [#permalink] New post 06 Jun 2018, 04:58
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Question Stats:

61% (01:25) correct 38% (01:17) wrong based on 13 sessions
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
[Reveal] Spoiler: OA

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Re: If x and y are integers, and x/y = 1.64, [#permalink] New post 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


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
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1 KUDOS received
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Re: If x and y are integers, and x/y = 1.64, [#permalink] New post 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


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
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Re: If x and y are integers, and x/y = 1.64,   [#permalink] 08 Jun 2018, 06:17
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If x and y are integers, and x/y = 1.64,

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