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What is the 25th digit to the right of the decimal point in

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What is the 25th digit to the right of the decimal point in [#permalink] New post 13 Aug 2012, 06:06
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A
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C
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 13 Aug 2012, 06:06
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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

\frac{6}{11}=0.5454....

Every odd-numbered digit, to the right of the decimal point, is 5, thus 25th (odd) digit will also be 5.

Answer: C.
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 13 Aug 2012, 06:52
6/11=0.54545454 repeating, with 5 occuring at 1,3,5,7 etc. So the 25th digit will be 5.
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 16 Aug 2012, 10:48
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C) 5
Same solution as above, but in case the repeating digits are more numerous then see:
1) Number of repeating digits (in this case 2 -> .5454..)
2) Divide the # of the digit you're supposed to view (25th digit) by # of repeats = (25/2)th digit
3) If no remainder, then its 4, if there's a Remainder = 1 then it has to be the next digit or 5, as in this case
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 16 Aug 2012, 11:35
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6/11 results in a Non-terminating decimal equal to .545454......54
Every even place (2nd,4th,6th,,,,,,,,,24th) digit is 4.
Every Odd place (1,3,5.....25) digit is 5.
Thus thus the odd place digit is 5
Hence Answer C.
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 17 Aug 2012, 00:12
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SOLUTION

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

\frac{6}{11}=0.5454....

Every odd-numbered digit, to the right of the decimal point, is 5, thus 25th (odd) digit will also be 5.

Answer: C.
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 02 Aug 2013, 12:07
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an easy way to find 6/11 in decimal terms

expand it by 9

(6*9)/(11*9) = 54/99

note that 54/99 is the fractional representation of circulating (recurring) decimal 0,545454...


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I dunno how anyone else would of got 0.5454 etc without using a calculator
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 03 Nov 2013, 12:13
But is there anyway to remember how to calculate 6/11 or 7/11 for that matter?I can't possibly remember all fractions...
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Re: What is the 25th digit to the right of the decimal point in [#permalink] New post 03 Nov 2013, 12:18
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Markster wrote:
But is there anyway to remember how to calculate 6/11 or 7/11 for that matter?I can't possibly remember all fractions...


Try to simply divide 6 by 11 to get 0.5454...

Else notice that 6/11=54/99=0.5454... Check Converting Decimals to Fractions here: math-number-theory-88376.html
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: What is the 25th digit to the right of the decimal point in   [#permalink] 03 Nov 2013, 12:18
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