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If (a) and (b) are coprime, (a=2^3\times7), and (ab=1736), what is (b)?
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Answer and explanation
Correct answer: (31)
Step 1: (a=2^3\times7=56). Step 2: Since (ab=1736), (b=\frac{1736}{56}=31), and (56) and (31) are coprime. Step 3: Use the coprime condition to verify the final answer.
Frequently asked questions
What is the correct answer to this question?
(31)
Why is this the correct answer?
Step 1: (a=2^3\times7=56). Step 2: Since (ab=1736), (b=\frac{1736}{56}=31), and (56) and (31) are coprime. Step 3: Use the coprime condition to 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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