Question

How many numbers are between 10 to 30, that leave a remainder of '2' when divided by 3?

• A. 5
• B. 6
• C. 7
• D. 8

Answer 1

The correct option is C

7

First number = 11 which leaves a remainder 2 when divides by 3

Last number be 29

we know that in an A.P., the ,$n^{th}$ term $a_n=a_1+(n-1)\times d$

$\Rightarrow 29=11+(n–1)\times 3$

$\Rightarrow 18=(n–1)\times 3$

$\Rightarrow n=7$