Question

How many two digit numbers yield a remainder 1 when divided by 4 and 14

Answer 1

Answer:22

Step-by-step explanation:

A number which when divided by 4 leaves remainder 1 is of the form (4n+1).

Now, it is given that the number is to be of 2 digits.

Therefore, minimum value of n is 3, as 4(3)+1 = 13 is the least 2 digit number of such pattern.

And maximum value of n is 24, as 4(24)+1 = 97 is the largest 2 digit number of such pattern.

Thus, total number of such numbers are (24–3)+1 = 22.

We conclude that there are 22 numbers of 2 digits which when divides by 4 leave remainder 1.