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sharing MCQ Questions for Class 10

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Practice Questions

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कुछ विद्यार्थियों ने (540) रुपये बराबर बाँटे। यदि (3) विद्यार्थी कम होते तो प्रत्येक को (30) रुपये अधिक देना पड़ता। वास्तविक विद्यार्थियों की संख्या क्या थी?

Some students shared (540) rupees equally. If there were (3) fewer students, each would pay (30) rupees more. What was the actual number of students?

Explanation opens after your attempt
Correct Answer

B. (9)

Step 1

Concept

Let the number of students be (n). Then \(\frac{540}{n-3}-\frac{540}{n}=30\). This gives \(30n^2-90n-1620=0\), so (n=9).

Step 2

Why this answer is correct

The correct answer is B. (9). Let the number of students be (n). Then \(\frac{540}{n-3}-\frac{540}{n}=30\). This gives \(30n^2-90n-1620=0\), so (n=9).

Step 3

Exam Tip

विद्यार्थी (n) हों तो \(\frac{540}{n-3}-\frac{540}{n}=30\)। इससे \(30n^2-90n-1620=0\) और (n=9) मिलता है।

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