Question

the number of natural numbers lies between 10/3 and 100/3 is
a) 29
b) 30
c) 31
d) 32​

Answer 1

73

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, an=299

a+(n−1)d=299

11+(n−1)4=299⇒n−1=72⇒n=73

Hence, there are 73 such terms.

Answer 2

Answer:

29 30 31 32689iyiwirutw