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The average weight of 15 items is 8 kg. The least average

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The average weight of 15 items is 8 kg. The least average  [#permalink]

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New post 31 Dec 2009, 19:42
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A
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E

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Question Stats:

60% (02:07) correct 40% (02:19) wrong based on 376 sessions

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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?

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

m14#15
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Re: m14#15  [#permalink]

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New post 31 Dec 2009, 20:07
5
4
tania 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

Ans is 14

Can someone explain me how to solve the above problem?


As average weight of 5 items of these 15 is 5 kg. and if no item weighs less than 5 kg, then each of these 5 lightest items weight exactly 5kg.

But there might be more than 5 items with weight 5kg. Why not 14? 14*5=70 and the las item will be 50kg to make the average wight of 8kg.

Answer: E (14)
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Manager
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Posts: 80
Re: avg. weight  [#permalink]

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New post 02 Aug 2010, 20:57
1
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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Re: The average weight of 15 items is 8 kg. The least average  [#permalink]

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New post 17 Jun 2016, 04:04
total weight = 15*8 =120 kg
least average weight of 5 items = 5*5 = 25 kg
wt remaining = 95 kgs
items remaining = 10
let 9 tems have weight 5 kg and the remaining = 95-45=50 kg
no of items having same weight = 9 + 5 =14
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Re: The average weight of 15 items is 8 kg. The least average  [#permalink]

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New post 18 Dec 2016, 11:32
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Re: The average weight of 15 items is 8 kg. The least average  [#permalink]

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New post 08 Apr 2018, 11:09
tania 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?

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

m14#15


1 item of all 15 is 5 kg --> 120 kg (total weight) - 5 kg = 115 kg. Let's 115/14 (remain itms) = 8 3/14 >5 , so all 14 items. (E)
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Re: The average weight of 15 items is 8 kg. The least average &nbs [#permalink] 08 Apr 2018, 11:09
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