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Question

Which of the following is a non-terminating as well as non-repeating decimal?

A
6.12789
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B
5.121212...
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C
8.123975...
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D
1.102102102...
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Solution

The correct option is C 8.123975...
6.12789 is a terminating decimal, as it has a finite number of digits after the decimal point i.e. 5.

5.121212... is a non-terminating and repeating decimal, as the number 12 repeats periodically after a decimal point.

8.123975... is a non-terminating and non-repeating decimal as it has an infinite number of digits after the decimal point without any pattern of repetition of digits.

1.102102102... is a non-terminating and repeating decimal, as the number 102 repeats periodically after a decimal point.

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