A school has (72) boys and (96) girls. They must be arranged in separate rows with the same number of students in each row, and this number must be maximum. How many students will be in each row?
Answer and explanation
Correct answer: (24)
Step 1: For the maximum equal number, find the HCF. Step 2: (72=2^3\times3^2) and (96=2^5\times3), so HCF (=2^3\times3=24). Step 3: For maximum equal grouping, use HCF.
Frequently asked questions
What is the correct answer to this question?
(24)
Why is this the correct answer?
Step 1: For the maximum equal number, find the HCF. Step 2: (72=2^3\times3^2) and (96=2^5\times3), so HCF (=2^3\times3=24). Step 3: For maximum equal grouping, use HCF.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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