CAT Practice : Number System - HCF, LCM

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Find HCF and divide total sweets by that!

No. of sweet boxes

    Q.9: 6 different sweet varieties of count 32, 216, 136, 88, 184, 120 were ordered for a particular occasion. They need to be packed in such a way that each box has the same variety of sweet and the number of sweets in each box is also the same. What is the minimum number of boxes required to pack?
    1. 129
    2. 64
    3. 48
    4. 97


  • Correct Answer
    Choice D. 97

Detailed Solution

All sweets need to packed and each box has the same variety.

This implies the number of sweets in each box should be HCF of different count of sweets

HCF of 32, 216, 136, 88, 184, 120 = 23 = 8

Minimum number of boxes = (32 + 216 + 136 + 88 + 184 + 120) / 8 = 97

Correct Answer: 97 boxes

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Number Theory is one of the most heavily tested topics. Within this, one should get the basics on factors, multiples, HCF, LCM very clear before moving on to the tougher sets.