Question: 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?

1. 3
2. 5
3. 6
4. 10
5. 14

“The average weight of 15 items is 8 kg. The least average”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation

Approach Solution 1:

Total weight of these 15 items is 15 * 8 = 120 kilograms.

We also know that atleast one item weighs exactly 5 kilograms. Now, all 15 items cannot have the same weight of 5 kilograms since in this case average weight would be 5 kilograms and not 8.

Can 14 items have the same weight of 5 kilograms? Why not? In this case the total weight of these 14 items would be 14 * 5 = 70 kilograms and the last item would be 50 kilograms (70 + 50 = 120).

Correct Answer: E

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