If (128), (192), and (320) are to be divided into the maximum number of equal parts, what will be the number of parts?
Answer and explanation
Correct answer: (64)
Step 1: The maximum number of equal parts is found by HCF. Step 2: (128=2^7), (192=2^6\times3), and (320=2^6\times5), so HCF (=2^6=64). Step 3: For maximum equal division, take the smallest common power.
Frequently asked questions
What is the correct answer to this question?
(64)
Why is this the correct answer?
Step 1: The maximum number of equal parts is found by HCF. Step 2: (128=2^7), (192=2^6\times3), and (320=2^6\times5), so HCF (=2^6=64). Step 3: For maximum equal division, take the smallest common power.
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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