If (p=2^2\times3\times11) and (q=2\times3^3\times11^2), what is the ratio of HCF to LCM of (p) and (q)?
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Answer and explanation
Correct answer: (1:(2\times3^2\times11))
Step 1: HCF is (2^1\times3^1\times11^1), and LCM is (2^2\times3^3\times11^2). Step 2: Dividing both sides by the HCF gives (1:2^1\times3^2\times11^1). Step 3: Simplifying the ratio is important in such questions.
Frequently asked questions
What is the correct answer to this question?
(1:(2\times3^2\times11))
Why is this the correct answer?
Step 1: HCF is (2^1\times3^1\times11^1), and LCM is (2^2\times3^3\times11^2). Step 2: Dividing both sides by the HCF gives (1:2^1\times3^2\times11^1). Step 3: Simplifying the ratio is important in such questions.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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