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

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

by Brent@GMATPrepNow » Wed Jun 06, 2018 4:51 am

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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

Answer: E
Difficulty level: 550 - 600
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by Scott@TargetTestPrep » Thu Jun 07, 2018 4:11 pm
Brent@GMATPrepNow 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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by Brent@GMATPrepNow » Fri Jun 08, 2018 6:16 am
Brent@GMATPrepNow 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

Answer: E
Difficulty level: 550 - 600
Source: www.gmatprepnow.com
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
Brent Hanneson - Creator of GMATPrepNow.com
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