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What is the 2000th decimal digit in the decimal expansion of 15/74?

What is the 2000th decimal digit in the decimal expansion of 15/74? Correct Answer 0

Calculations :

15/74 = 0.20270270270270......

We can see that after 0.2 decimal 027 is repeating itself

For the 2000th decimal expansion, we need 1998th (2000 - 1) term after 0.2

Here we can see that 1998 is divisible by 3 and every 3rd term is 7.

Now total decimal places is 1 + 1998 = 1999 and the decimal digit is 7 

So. the 2000th decimal digit will be 0. (As next digit after 7 is 0)

∴ Option 3 is the correct choice.

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