If (a) and (b) are coprime, (a=2^2\times5), and (ab=420), what is (b)?
Answer and explanation
Correct answer: (21)
Step 1: (a=2^2\times5=20). Step 2: Since (ab=420), (b=\frac{420}{20}=21), and (20) and (21) are coprime. Step 3: The coprime condition helps verify the final answer.
Frequently asked questions
What is the correct answer to this question?
(21)
Why is this the correct answer?
Step 1: (a=2^2\times5=20). Step 2: Since (ab=420), (b=\frac{420}{20}=21), and (20) and (21) are coprime. Step 3: The coprime condition helps verify the final 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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