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What is the 18th digit to the right of the decimal point

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What is the 18th digit to the right of the decimal point  [#permalink]

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New post 08 Nov 2012, 15:57
2
15
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A
B
C
D
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Difficulty:

  55% (hard)

Question Stats:

62% (01:36) correct 38% (01:56) wrong based on 558 sessions

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What is the 18th digit to the right of the decimal point in the decimal expansion of 1/37?

(A) 0
(B) 2
(C) 4
(D) 7
(E) 9

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Re: What is the 18th digit to the right of the decimal point  [#permalink]

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New post 08 Nov 2012, 17:13
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\(\frac{1}{37}\) could be a difficult or at least if not approched well could lead to the wron answer or prone of error

So, do \(\frac{100}{37}\) in this way is more comfortable and in the end you will add 2 zeros

we want the 18 th number and 18 is even

\(\frac{100}{37}\) \(=\) \(270270\) ------------> \(0.0270270\)

Now notice the first number is 0 second 2 third 7 and the fourth again 0

So \(4 * 4 = 16\) in our pattern.

So is \(ZERO\) \(+ 2 = 7\) ( be carefull we are talking of units place not sum)

D is the answer
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What is the 18th digit to the right of the decimal point  [#permalink]

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New post 09 Nov 2012, 03:08
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Re: What is the 18th digit to the right of the decimal point  [#permalink]

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New post 06 Jul 2015, 08:02
Always remember GMAT never asks for complex calculations .So whenever you see questions like this ,try to identify the pattern .In this case ,the fraction is a recurring decimal 0.027027027... 027 keeps on repeating .18th digit is 3*6 so 7 is the answer

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Re: What is the 18th digit to the right of the decimal point  [#permalink]

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New post 31 Aug 2017, 17:29
carcass wrote:
\(\frac{1}{37}\) could be a difficult or at least if not approched well could lead to the wron answer or prone of error

So, do \(\frac{100}{37}\) in this way is more comfortable and in the end you will add 2 zeros

we want the 18 th number and 18 is even

\(\frac{100}{37}\) \(=\) \(270270\) ------------> \(0.0270270\)

Now notice the first number is 0 second 2 third 7 and the fourth again 0

So \(4 * 4 = 16\) in our pattern.

So is \(ZERO\) \(+ 2 = 7\) ( be carefull we are talking of units place not sum)

D is the answer



hi
how can you say so ...?

.027 027 027

here we can see a set of "027" composed of 3 digits, NOT of 4 digits ...
to find the 18th digit, we can arrange 6 identical sets as shown above. Clearly the 18th digit is 7...

thanks ...
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Re: What is the 18th digit to the right of the decimal point  [#permalink]

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New post 19 Oct 2018, 13:24
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Time taken 27 secs

Multiply the numerator and the denominator by 27.

so, 1/37= 27/27*37 = 27/999 = 0.027027... (Property of terminating decimal)

Hence, 7

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Hit kudos if you appreciate the method or suggest a different approach :)
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Re: What is the 18th digit to the right of the decimal point   [#permalink] 19 Oct 2018, 13:24
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