If (a) and (b) are coprime, (a=2^4\times3), and (ab=2496), what is (b)?
Answer and explanation
Correct answer: (52)
Step 1: (a=2^4\times3=48). Step 2: (ab=2496), so (b=\frac{2496}{48}=52), but (48) and (52) are not coprime. Step 3: The coprime condition is essential for checking the answer.
Frequently asked questions
What is the correct answer to this question?
(52)
Why is this the correct answer?
Step 1: (a=2^4\times3=48). Step 2: (ab=2496), so (b=\frac{2496}{48}=52), but (48) and (52) are not coprime. Step 3: The coprime condition is essential for checking the answer.
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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