In the subtraction below, what is the sum of the digits in the result?
$$111\ldots111$$ ($$100$$ digits) - $$222\ldots222$$ ($$50$$ digits)

Solution

The subtraction gives a number consisting of $$50$$ leading digits equal to $$1$$ followed by $$50$$ digits forming the corresponding complement pattern. Direct subtraction gives the digit sum $$450$$. Therefore the correct option is $$450$$.

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now

Ask our AI anything

AI can make mistakes. Please verify important information.

In the subtraction below, what is the sum of the digits in the result?$$111\ldots111$$ ($$100$$ digits) - $$222\ldots222$$ ($$50$$ digits)