bibha wrote:

The average weight of 15 items is 8 kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5 kg, what is the maximum number of items that can have the same weight?

3

5

6

10

14

I always get confused with these kind of questions

I will go with E

The average weight of 15 items = 8kg. Sum of weights of 15 items =120

If the least average weight of 5 items is 5 kg and each item weighs at least 5 kg. Then all these 5 items have a weight of 5 kg.

Now maximum number of items with same weight can be =

maximum no of items that can have weight 5 (14 ; 14 items weigh 5 kgs and 15th item weigh 50 kgs)

or

maximum no of items that can have a weight of x among the 10 highest weighing items (<=10)

whichever is greater

14 is obviously greater than 10 . so we don't have to calculate the second one. Answer should be 14.

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