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Pansi
Joined: 04 Jul 2011
Last visit: 01 Dec 2019
Posts: 42
Given Kudos: 87
Status:Fighting hard
Schools: Kellogg '15 ISB '14 (S)
GMAT Date: 10-01-2012
08 Nov 2012, 15:57
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:39) correct
41%
(01:59)
wrong
based on 1622
sessions
History
Date
Time
Result
Not Attempted Yet
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
(A) 0
(B) 2
(C) 4
(D) 7
(E) 9
08 Nov 2012, 17:13
Kudos
Bookmarks
\(\frac{1}{37}\) 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
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
09 Nov 2012, 03:08
Kudos
Bookmarks
Pansi
\(\frac{1}{37}=0.027027...\)
So, we have a repeating cycle of 027. Every third digit (3rd, 6th, 9th, ...) to the right of the decimal point is 7, thus 18th digit to the right of the decimal point is also 7.
Answer: D.
