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

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Bunuel
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Which of the following is the 21st digit to the right of the decimal [#permalink] New post   11 Jan 2018, 21:27
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A
B
C
D
E

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45% (medium)

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64% (01:43) correct 36% (01:49) wrong based on 116 sessions
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Which of the following is the 21st digit to the right of the decimal place in the decimal expression of 5/22?


A. 1
B. 2
C. 5
D. 7
E. 11
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D
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tu2325
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Re: Which of the following is the 21st digit to the right of the decimal [#permalink] 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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MvArrow
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Re: Which of the following is the 21st digit to the right of the decimal [#permalink] 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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niks18
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Re: Which of the following is the 21st digit to the right of the decimal [#permalink] 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.
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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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