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When 100 is divided by positive integer x, the remainder is

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by swerve » Tue Oct 23, 2018 12:01 pm

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E

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Difficulty—

When 100 is divided by positive integer x, the remainder is 2. What is the remainder when 198 is divided by x?

A. 2
B. 3
C. 4
D. 6
E. 8

The OA is A

Source: Magoosh
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by Brent@GMATPrepNow » Tue Oct 23, 2018 12:24 pm
swerve wrote:When 100 is divided by positive integer x, the remainder is 2. What is the remainder when 198 is divided by x?

A. 2
B. 3
C. 4
D. 6
E. 8

The OA is A

Source: Magoosh
A fast approach is to find a value of x that meets the given condition: When 100 is divided by positive integer x, the remainder is 2

Well, x = 98 satisfies that condition, since 100 divided by 98 = 1 with remainder 2

What is the remainder when 198 is divided by x?
Well, 198 divided by 98 equals 2 with remainder 2

Answer: A

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by Scott@TargetTestPrep » Thu Oct 25, 2018 8:23 am
swerve wrote:When 100 is divided by positive integer x, the remainder is 2. What is the remainder when 198 is divided by x?

A. 2
B. 3
C. 4
D. 6
E. 8
One possible value of x is 98. , Using that value for x, the remainder of 198/98 is 2.

Alternate Solution:

Since the remainder when 100 is divided by x is 2, 98 is divisible by x. Since 98 is divisible by x, 98*2 = 196 is also divisible by x. Since 196 is divisible by x, 198 will produce a remainder of 2 when divided by x.

Answer: A

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