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Which of the following is the 21st digit to the right of the decimal

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Which of the following is the 21st digit to the right of the decimal [#permalink]

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New post 11 Jan 2018, 21:27
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (01:08) correct 38% (01:33) wrong based on 72 sessions

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Intern
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Joined: 14 Mar 2017
Posts: 5
GMAT 1: 650 Q47 V33
Re: Which of the following is the 21st digit to the right of the decimal [#permalink]

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New post 12 Jan 2018, 18:57
For such type of question we should start dividing and try to see if a pattern emerges (which usually does).

Now, when we reach the third decimal place we notice that after that it starts repeating.

That is 5/22 = 0.2272727... So except the first decimal place there is repeating pattern. Hence, the 21st digit to the right will be 7.

Thus, the correct option is D.

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Re: Which of the following is the 21st digit to the right of the decimal [#permalink]

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New post 16 Feb 2018, 08:22
How I am supposed to convert 5/22 into a decimal form without a calculator? :(
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Re: Which of the following is the 21st digit to the right of the decimal [#permalink]

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New post 17 Feb 2018, 09:19
MvArrow wrote:
How I am supposed to convert 5/22 into a decimal form without a calculator? :(


HI MvArrow,

\(\frac{5}{22} = \frac{5}{2*11}=\frac{2.5}{11}\), division by 11 should not be a challenge even without calculator.
Re: Which of the following is the 21st digit to the right of the decimal   [#permalink] 17 Feb 2018, 09:19
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Which of the following is the 21st digit to the right of the decimal

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