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In a gathering, there are (198) students and (330) guests. The maximum number of identical groups is to be formed so that each group has the same number of students and guests separately. How many groups can be formed?
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Answer and explanation
Correct answer: (66)
Step 1: The maximum number of identical groups is found by HCF. Step 2: (198=2\times3^2\times11) and (330=2\times3\times5\times11), so HCF (=2\times3\times11=66). Step 3: Use HCF for maximum equal distribution.
Frequently asked questions
What is the correct answer to this question?
(66)
Why is this the correct answer?
Step 1: The maximum number of identical groups is found by HCF. Step 2: (198=2\times3^2\times11) and (330=2\times3\times5\times11), so HCF (=2\times3\times11=66). Step 3: Use HCF for maximum equal distribution.
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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