A shopkeeper wants to pack (42) apples and (56) oranges in equal bags. What is the maximum number of bags possible?
Answer and explanation
Correct answer: (14)
Step 1: For the maximum number of equal bags, find the HCF of (42) and (56). Step 2: (42=2\times3\times7) and (56=2^3\times7), so HCF (=2\times7=14). Step 3: In packing questions with equal and maximum, use HCF.
Frequently asked questions
What is the correct answer to this question?
(14)
Why is this the correct answer?
Step 1: For the maximum number of equal bags, find the HCF of (42) and (56). Step 2: (42=2\times3\times7) and (56=2^3\times7), so HCF (=2\times7=14). Step 3: In packing questions with equal and maximum, use 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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