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13 Aug 2019, 02:12
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
81% (00:48) correct
19%
(00:54)
wrong
based on 166
sessions
History
Date
Time
Result
Not Attempted Yet
What is the 30th digit to the right of the decimal point in the decimal form of 3/11 ?
A. 2
B. 3
C. 5
D. 6
E. 7
A. 2
B. 3
C. 5
D. 6
E. 7
13 Aug 2019, 04:15
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This is a question where you need to convert a rational number to a recurring decimal.
Any rational number where the denominator consists of a power of 2 or a power of 5 or a combination of these two powers, will always give a terminating decimal. Otherwise, a rational number will give a recurring decimal.
Based on this, we can say that \(\frac{3}{11}\) will definitely give a recurring decimal.
\(\frac{3}{11}\) = 0.272727……
The period of this recurring decimal is 2 i.e. there are 2 distinct digits which keep recurring. The first digit to the right of the decimal point is 2, the second is 7, the third is 2, the fourth is 7 and so on.
Following this pattern, we can say that the 30th digit will be 7. The correct answer option is E.
Hope this helps!
Any rational number where the denominator consists of a power of 2 or a power of 5 or a combination of these two powers, will always give a terminating decimal. Otherwise, a rational number will give a recurring decimal.
Based on this, we can say that \(\frac{3}{11}\) will definitely give a recurring decimal.
\(\frac{3}{11}\) = 0.272727……
The period of this recurring decimal is 2 i.e. there are 2 distinct digits which keep recurring. The first digit to the right of the decimal point is 2, the second is 7, the third is 2, the fourth is 7 and so on.
Following this pattern, we can say that the 30th digit will be 7. The correct answer option is E.
Hope this helps!
13 Aug 2019, 22:07
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It is easy to solve this question if we know the value of \(\frac{1}{11}\).
\(\frac{1}{11} = 0.0909090909...\) i.e. a recurring decimal.
So, \(\frac{3}{11} = 0.272727272727...\)
Every second digit right of the decimal point is "7".
30th is an even spot. So, it will also be "7".
Answer E
\(\frac{1}{11} = 0.0909090909...\) i.e. a recurring decimal.
So, \(\frac{3}{11} = 0.272727272727...\)
Every second digit right of the decimal point is "7".
30th is an even spot. So, it will also be "7".
Answer E
