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A school has (312) answer sheets and (468) question papers. They are to be kept in the maximum number of identical packets so that each packet has the same number of both separately. How many packets can be made?

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Answer and explanation

Correct answer: (156)

Step 1: The maximum number of identical packets is found by HCF. Step 2: (312=2^3\times3\times13) and (468=2^2\times3^2\times13), so HCF (=2^2\times3\times13=156). Step 3: Use HCF for maximum equal distribution.

Related tags

Real-NumbersHcfWord-Problem

Frequently asked questions

What is the correct answer to this question?

(156)

Why is this the correct answer?

Step 1: The maximum number of identical packets is found by HCF. Step 2: (312=2^3\times3\times13) and (468=2^2\times3^2\times13), so HCF (=2^2\times3\times13=156). Step 3: Use HCF for maximum equal distribution.

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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