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If the HCF of (2^a\times3^2\times7) and (2^5\times3^4\times7^2) is (2^3\times3^2\times7), which value of (a) is possible?
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Answer and explanation
Correct answer: (3)
Step 1: The smaller power of (2) in the HCF must be (3). Step 2: The second number has (2^5), so (a=3) makes the smaller power (3). Step 3: Apply the minimum-power condition directly in HCF questions.
Frequently asked questions
What is the correct answer to this question?
(3)
Why is this the correct answer?
Step 1: The smaller power of (2) in the HCF must be (3). Step 2: The second number has (2^5), so (a=3) makes the smaller power (3). Step 3: Apply the minimum-power condition directly in HCF questions.
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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