Math Problem Statement

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

Solution

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 256=16\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., 50625\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.

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Math Problem Analysis

Mathematical Concepts

Geometry
Division
Prime Factorization
HCF and LCM

Formulas

Number of rows and columns = sqrt(total number of seats)
HCF of two numbers = Largest divisor common to both
LCM of two numbers = Smallest common multiple of both
Area of a square = side^2

Theorems

Euclidean Algorithm for HCF
Properties of a square

Suitable Grade Level

Grades 6-8