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tania
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The average weight of 15 items is 8 kg. The least average 31 Dec 2009, 19:42
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63% (02:05) correct 37% (02:21) wrong based on 683 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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Bunuel
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The average weight of 15 items is 8 kg. The least average 31 Dec 2009, 20:07
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tania
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?
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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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The average weight of 15 items is 8 kg. The least average 02 Aug 2010, 20:57
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bibha
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 :-(
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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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The average weight of 15 items is 8 kg. The least average 17 Jun 2016, 04:04
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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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The average weight of 15 items is 8 kg. The least average 18 Dec 2016, 11:32
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Nice Question.
I used hit and trial on this one
5 each of 14 =>
and last will be -> Over 5

Hence E
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The average weight of 15 items is 8 kg. The least average 08 Apr 2018, 11:09
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tania
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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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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The average weight of 15 items is 8 kg. The least average 12 Nov 2025, 00:10
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