Embibe Experts Solutions for Chapter: Number System, Exercise 1: Properties Of Numbers

When all the students in a school are made to stand in rows of $54$, $30$ such rows are formed. If the students are made to stand in the rows of $45$, how many such rows can be formed?

If a certain sum of money is distributed among $43$ people, each one gets $\mathrm{Rs}. 221$ and $Rs. 83$ is left. What is the total amount?

What is the least number to be subtracted from $945$ to make it perfect square?

If the numerator of a fraction is increased by $200\%$ and the denominator of the fraction is increased by $250\%$, the resultant fraction is $\frac{3}{14}$. What is the original fraction?

The product of two consecutive odd numbers is $6399$. What is the smaller number?

The average of$5$ consecutive even numbers A, B, C, D and E is $106$. What is the product of B and D ?

If ${\left(89\right)}^2$ is added to the square of a number, the answer so obtained is $16202$. What is the number?

What is the least number to be added to $1500$ to make it a perfect square?