Exercise

In class 6 of a school, 105 students study in different sections. The number of students in each section are between 20 and 40. All sections have equal number of students.How equal number of students can be accommodated in each section?

The school authority plans to instal new water coolers. There are $1800$ students in the school. A water
cooler can serve $100$ students. The cost of one water cooler is $₹ 40,000.$How many water coolers are should be installed to serve all the students$?$ What is the cost of installing them$?$

$M$ and $N$ are two numbers. The non-zero digit in the crore's place of $M$ is $4$ less than the digit in the thousands place of $N$. The non-zero digit in $10\text{'}s$ place of $N$ is $3$ less than the number in hundred's place of $M$. If both the numbers have equal number of digits and all the remaining digits are equal but not zeros. Find the least possible difference between $M$ and $N$.

Find the sum between the greatest $5$-digit number and the greatest $4$-digit number formed using the digits $7, 6, 2, 5, 1$  when the repetition is not allowed.

How many $4$-digit odd numbers can you make using the digits $5, 3, 8 \text{and} 0$ without repeating any digit?

The sum of twelve lakh seven thousand five hundred and eighty-three lakh sixteen thousand eight is:

$X$ is the smallest four-digit number formed by all the digits $0, 7, 8$, and $9$. $Y$ is the greatest four-digit number formed by all the digits $0, 7, 8$ and $9$. Find $Y-X$.

The difference between the greatest and the smallest numbers formed by all the digits $2, 3,5,$ and $7$ is $XYZX$ where $X, Y, Z$ are digits, then $X$ is ______.