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A shopkeeper wants to pack (96), (144), and (240) sweets equally into boxes. What is the greatest number of sweets that can be put in each box?
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Answer and explanation
Correct answer: (48)
Step 1: Since all sweets must be divided equally, find the HCF. Step 2: (96=2^5\times 3), (144=2^4\times 3^2), and (240=2^4\times 3\times 5). The common smallest part is (2^4\times 3=48). Step 3: For greatest equal grouping, use HCF.
Frequently asked questions
What is the correct answer to this question?
(48)
Why is this the correct answer?
Step 1: Since all sweets must be divided equally, find the HCF. Step 2: (96=2^5\times 3), (144=2^4\times 3^2), and (240=2^4\times 3\times 5). The common smallest part is (2^4\times 3=48). Step 3: For greatest equal grouping, 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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