Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

82% (00:46) correct 18% (01:11) wrong based on 84 sessions

HideShow timer Statistics

The average weight of 15 items is 8 kilograms. If at least one item weighs exactly 5 kilograms, what is the maximum number of items that can have the same weight of 5 kilograms?

The average weight of 15 items is 8 kilograms. If at least one item weighs exactly 5 kilograms, what is the maximum number of items that can have the same weight of 5 kilograms?

A. 3 B. 5 C. 6 D. 10 E. 14

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

We also know that at least 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 \((70+50=120)\).

Why all the complications in the question? Why not simply ask "The average weight of 15 items is 8 kilograms. What is the maximum number of items that can weigh exactly 5 kilograms?" I'm not sure how adding the phrase "If at least one item weighs exactly 5 kilograms" adds anything but confusion. Whether at least 1 item weighs 5 kilos is irrelevant.