Math Problem Statement

एका परीक्षा केंद्रात 60 विद्यार्थ्यांची गणिताची परीक्षा घेतात, 36 विद्यार्थ्यांची जीवशास्त्राची परीक्षा घेतात आणि 24 विद्यार्थ्यांची इतिहासाची परीक्षा घेतात. जर एका खोलित एकच विषयाची परीक्षा घेत येते आणि प्रत्येक खोलित विद्यार्थ्यांची संख्या समान ठेवायची असेल तर कमी किती खोल्या लागतील?

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:

  1. How do you calculate the GCD of multiple numbers?
  2. What is the importance of the GCD in problems like this?
  3. How can you verify if the GCD is correct?
  4. Can the same approach be used for more than three numbers?
  5. 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.

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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