Math Problem Statement
Solution
This appears to be a word problem in Marathi. Let's break it down:
- A test center conducts exams for 60 students in mathematics, 36 students in biology, and 24 students in history.
- One subject is given in a separate room, and the number of students in each room is the same.
- The question asks how many rooms are needed to accommodate the students while maintaining equal numbers in each room.
To solve this, we need to calculate the greatest common divisor (GCD) of 60, 36, and 24, as the number of rooms must be the same for each subject.
Let's find the GCD of these numbers to determine how many rooms are required.
Let me calculate that for you. math
Given numbers
numbers = [60, 36, 24]
Calculate the GCD of all three numbers
gcd_value = math.gcd(numbers[0], math.gcd(numbers[1], numbers[2])) gcd_valueThe greatest common divisor (GCD) of 60, 36, and 24 is 12. Therefore, 12 rooms will be required to accommodate the students, ensuring each room has the same number of students.
So, the correct answer is option 2) 12.
Would you like any further explanations or details on this?
Here are some related questions:
- How do you calculate the GCD of multiple numbers?
- What is the importance of the GCD in problems like this?
- How can you verify if the GCD is correct?
- Can the same approach be used for more than three numbers?
- How do you calculate the LCM (Least Common Multiple) of two or more numbers?
Tip: For large numbers, you can use the Euclidean algorithm to calculate the GCD more efficiently.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Greatest Common Divisor (GCD)
Basic Division
Problem Solving
Formulas
GCD formula using Euclidean Algorithm
Theorems
Euclidean Algorithm for GCD
Suitable Grade Level
Grades 6-8
Related Recommendation
Find the Greatest Common Divisor of 42 Students and 54 Desks
Finding the Largest Tile Size for a Cafeteria and Entryway using GCD
Find the Greatest Common Divisor to Distribute 24 Pencils and 36 Erasers Equally
Find the Greatest Number of Groups with 26 Girls and 39 Boys Using GCD
Find Minimum Tables for 42 Math, 56 Physics, and 70 Chemistry Teachers Using GCD