Question

how many numbers are there from 10 to 300 which when divided by 4 leave the remainder 3?
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Answer 1

Answer:

73 numbers

So, total 73 numbers lie between 10 to 300 which when divided by 4 leaves a remainder 3

Answer 2

Step-by-step explanation:

The number lies between 10 to 300, which when divided by 4 leaves the remainder 3 are 11,15,19,...299. Clearly, it is an AP with first term a=11, common difference d=4 and last term l=299.

Let the are n terms in the given AP.

Then, a

n

=299

a+(n−1)d=299

11+(n−1)4=299⇒n−1=72⇒n=73

Hence, there are 73 such terms.