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If the HCF of (2^a\times3^5\times7) and (2^7\times3^2\times7^2) is (2^5\times3^2\times7), which value of (a) is possible?
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Answer and explanation
Correct answer: (5)
Step 1: The smaller power of (2) in the HCF must be (5). Step 2: The second number has (2^7), so (a=5) makes the smaller power (5). Step 3: Apply the minimum-power condition in HCF.
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What is the correct answer to this question?
(5)
Why is this the correct answer?
Step 1: The smaller power of (2) in the HCF must be (5). Step 2: The second number has (2^7), so (a=5) makes the smaller power (5). 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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