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If the HCF of (2^a\times3^3\times5) and (2^6\times3^5\times5^2) is (2^4\times3^3\times5), which value of (a) is possible?
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Answer and explanation
Correct answer: (4)
Step 1: The smaller power of (2) in the HCF must be (4). Step 2: The second number has (2^6), so (a=4) makes the smaller power (4). Step 3: Apply the minimum-power condition in HCF.
Frequently asked questions
What is the correct answer to this question?
(4)
Why is this the correct answer?
Step 1: The smaller power of (2) in the HCF must be (4). Step 2: The second number has (2^6), so (a=4) makes the smaller power (4). Step 3: Apply the minimum-power condition in 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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