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What is the 25th digit to the right of the decimal in the decimal point of the form 6/11?

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by BTGmoderatorLU » Tue Jan 12, 2021 4:12 pm

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Source: Official Guide

What is the 25th digit to the right of the decimal point in the decimal form of 6/11?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is C
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Re: What is the 25th digit to the right of the decimal in the decimal point of the form 6/11?

by Brent@GMATPrepNow » Wed Jan 13, 2021 6:22 am
BTGmoderatorLU wrote: ↑
Tue Jan 12, 2021 4:12 pm
 Source: Official Guide

What is the 25th digit to the right of the decimal point in the decimal form of 6/11?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is C
If we use LONG DIVISION and divide 6 by 11, we see a pattern emerge.
We get: 6/11 = 0.5454....
So, the 1st digit to the right of the decimal point is 5
The 2nd digit to the right of the decimal point is 4
The 3rd digit to the right of the decimal point is 5
The 4th digit to the right of the decimal point is 4
and so on...

Every ODD digit (1st, 3rd, 5th, etc) is 5
Every EVEN digit (2nd, 4th, 6th etc) is 4

So, the 25th digit will be 5

Answer: C

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: What is the 25th digit to the right of the decimal in the decimal point of the form 6/11?

by Scott@TargetTestPrep » Sun Jan 17, 2021 12:32 pm
BTGmoderatorLU wrote: ↑
Tue Jan 12, 2021 4:12 pm
 Source: Official Guide

What is the 25th digit to the right of the decimal point in the decimal form of 6/11?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is C
Solution:

6/11 = 0.545454…

We see that all the odd-numbered digits (1st, 3rd, etc.) to the right of the decimal point are 5 and all the even-numbered digits (2nd, 4th, etc.) to the right of the decimal point are 4. Since 25 is odd, the 25th digit to the right of the decimal point is 5.

Answer: C

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