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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 10
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A shopkeeper has (126) red pens and (210) blue pens. He wants to make the maximum number of identical packets so that each packet has the same number of red pens and the same number of blue pens. How many packets can he make?

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Answer and explanation

Correct answer: (42)

Step 1: The maximum number of identical packets is found by HCF. Step 2: (126=2\times3^2\times7) and (210=2\times3\times5\times7), so HCF (=2\times3\times7=42). Step 3: For maximum equal distribution, find the HCF.

Related tags

Real-NumbersHcfDistribution

Frequently asked questions

What is the correct answer to this question?

(42)

Why is this the correct answer?

Step 1: The maximum number of identical packets is found by HCF. Step 2: (126=2\times3^2\times7) and (210=2\times3\times5\times7), so HCF (=2\times3\times7=42). Step 3: For maximum equal distribution, find the HCF.

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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