CAT Practice : Averages, Ratios, Mixtures

Averages

Averages

    Q.50: Arun has 13 boxes of chocolates with him, with an average of 17 chocolates per box. If each box has at least 11 chocolates and no two boxes have equal number of chocolates, then what can be the maximum possible number of chocolates in any box?
    1. 23
    2. 25
    3. 29
    4. Can't be determined

 

  • Correct Answer
    Choice A. 23

Detailed Solution

Total number of chocolates = 13 x 17 = 221
For one box to have maximum number of chocolates, the other boxes need to have minimum number of chocolates i.e. 11, 12, ………………….., 22
Total = 11 x 12 + (0+1+2+……………+11)
= 132 + 66 = 198
Therefore, maximum possible chocolates = 221 – 198 = 23







Correct Answer: 23



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