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The image shows a set of mathematical questions labeled 1 to 6, mainly focusing on topics like equal distribution, divisibility, HCF (Highest Common Factor), LCM (Least Common Multiple), rational numbers, and basic geometric calculations.

### Let’s go through a few of the questions:

1. **Question 1 (a)**:  
   - **"There are 256 chairs and an equal number of people in a program, arranged in an equal number of rows and columns."**  
   - We are asked to find the seat number that is 4 units to the left of seat number 15.
   - For a better understanding, assume the arrangement is square-shaped. The number of rows and columns would be \(\sqrt{256} = 16\). Knowing this, we can then calculate positions based on rows and columns.

2. **Question 2 (b)**:  
   - **"What is the greatest number of people to whom 180 bananas and 250 apples can be divided equally?"**
   - This asks for the greatest common divisor (GCD) of 180 and 250, which can be calculated as the largest number that divides both without leaving a remainder.

3. **Question 4 (d)**:  
   - **"If the greatest number of students obtained in (a) is divided by 15, then what type of decimal will be obtained?"**
   - We need to check if the number is divisible by 15 and determine the nature of the quotient, whether it's a terminating or repeating decimal.

4. **Question 5 (a)**:  
   - **"If the water is filled in some tankers in such a way that the liter of water in each tank is the same as the number of tanks. Find the amount of water in each tank."**
   - This involves solving an equation where the total water is 1600 liters and volume per tank is equal to the number of tanks.

5. **Question 6 (a)**:  
   - **"The area of a square field is 50625 m². Find the side of the square field."**
   - We can find the side by taking the square root of the area, i.e., \(\sqrt{50625}\).

Would you like a detailed solution for any specific problem, or do you have a question about the approach to any of them?

### Here are 5 relative questions based on the problems above:
1. What is the formula for finding the number of rows and columns when given a square grid arrangement?
2. How do you find the GCD of two numbers using prime factorization?
3. What criteria determine whether a decimal is terminating or repeating?
4. How can we verify if a number is a rational number?
5. What is the geometric interpretation of a square's area and side length?

**Tip:** For divisibility and greatest common divisor problems, the Euclidean algorithm is a fast method to find the GCD of two numbers.

Find the seat number that is 4 units to the left of seat number 15.

Explore a variety of math problems focusing on HCF, LCM, and geometry suitable for Grade 6-8 students. This includes real-life scenarios like seating arrangements, dividing bananas and apples, and calculating the side of a square field.

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