Question

A master muralist has painted 1657 paintings in total. If he had painted an equal number of murals each year for the last 19 years, calculate the number of murals he would paint in his ${20}^{th}$ year.

• A. 1 murals
• B. 2 murals
• C. 3 murals
• D. 4 murals

Answer 1

The correct option is D 4 murals

Total number of paintings done by the muralist $=1657$
The muralist has worked for 19 years and is on his ${20}^{th}$ year

So, the number of years completed by the muralist $=19$

Now, to find the paintings to be completed in the ${20}^{th}$ year, we have to calculate the remainder of $1657÷19$

Calculating $1657÷19$ by standard algorithm, we get:

So, for $1657÷19$, the final quotient is $87$ and the remainder is $4$.

Hence, in his ${20}^{th}$ year, the artist would paint 4 murals.