Amitava, it is fantastic that you are contributing problems, but you really need to spend more time specifying what the solution should do. The person solving is left needing to guess too much.
Definitely Agree with the cyclist. W/o example it is impossible to understand the task to achieve.
The DC component of a signal is usually its mean. Now filter can have many meanings, but in this case, it means to remove the signal variation.
Omit columns averages from a matrix
sum of non-primes
sum of first 'n' terms
Perfect Square or not
Acidity of vinegar and salts
given 3 sides, find area of this triangle
Least common multiple of many numbers
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