Question

How many numbers are between 50 and 300 which when divided by 4 leave a remainder 3?​

Answer 1

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.

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