If k is an integer and 0.0010101 \times 10^k is greater than 1,000, what is the least possible value of k?

Problems based on Numbers Test 7

Question : 14 of 18

Marks: +1, -0

If k is an integer and

0.0010101 × 10^k

is greater than 1,000, what is the least possible value of k?

Solution:

The given equation

= 0.0010101 × 10^k > 1,000

{10,101}/{1,00,00,000}×10^k > 1,000

Since 1,010.1 is greater than 1,000
So, we take k = 6 is an integer.

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