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If a, b, c, and d are different positive odd numbers, what is the medi

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BillyZ
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If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   27 Mar 2017, 17:57
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If a, b, c, and d are different positive odd numbers, what is the median of the numbers?

(1) \(a+b+c+d=16\)
(2) The product of the 3 numbers of a, b, c, and d is 15
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Bunuel
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   10 Dec 2023, 01:29
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Aashi108 wrote:
If a, b, c, and d are different positive odd numbers, what is the median of the numbers?

(1) \(a+b+c+d=16\)
(2) The product of the 3 numbers of a, b, c, and d is 15

I still have a doubt, regarding the 2nd statement i.e. the product of any of the 3 out of the 4 a,b,c and d is 15.
That means there is still one unknown variable, let's say 'abc=15' and so 'd' remains unknown. If there is still 1 unknown variable how are we getting the median of 4 numbers then?


15 can be represented as the product of three different positive odd numbers in only one way: 1*3*5. Thus, three of a, b, c, and d must be 1, 3, and 5. Since the four numbers are all different, odd and positive, the fourth number is 7, 9, 11, .... In any case the median of {1, 3, 5, an odd number greater than 5} will be (3 + 5)/2 = 4.

Hope it's clear.
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   27 Mar 2017, 22:16
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given that all numbers are different odd numbers
STE 1 : sum of numbers is equal to 16 : when considering different odd number, only 1,3,5,7 sum up to 16. Median 4 : sufficient
STE 2 : product of 3 numbers equal to 15. Factorize 15 to its prime factors to get 1,3,5. since it has been given that all numbers are different odd numbers next number should be greater than 5 : sufficient

Hope this helps
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   29 Jun 2017, 22:35
I got this correct but have a doubt in interpreting statement (2).

The product of the 3 numbers of a, b, c, and d is 15

The product of the 3 numbers of a, b, c, i.e. a * b * c = lets say x AND D is 15.

How can product of x * D be 15 if all are different positive odd numbers.
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   24 Aug 2017, 20:40
warriorguy wrote:
I got this correct but have a doubt in interpreting statement (2).

The product of the 3 numbers of a, b, c, and d is 15

The product of the 3 numbers of a, b, c, i.e. a * b * c = lets say x AND D is 15.

How can product of x * D be 15 if all are different positive odd numbers.


This has to do with the wording in the question, i think the question means that 3 numbers in the set (a, b, c, d) multiply together give 15 instead of a x b x c x d = 15.
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   10 Sep 2017, 05:56
I guess there's a wording problem
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   10 Sep 2017, 06:54
NamVu1990 wrote:
warriorguy wrote:
I got this correct but have a doubt in interpreting statement (2).

The product of the 3 numbers of a, b, c, and d is 15

The product of the 3 numbers of a, b, c, i.e. a * b * c = lets say x AND D is 15.

How can product of x * D be 15 if all are different positive odd numbers.


This has to do with the wording in the question, i think the question means that 3 numbers in the set (a, b, c, d) multiply together give 15 instead of a x b x c x d = 15.

The second statement is not clear. Maybe, it means that a * b * c = d = 15? It is true for a = 1, b = 3, c = 5 and d = 15
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   29 Sep 2022, 03:17
BillyZ wrote:
If a, b, c, and d are different positive odd numbers, what is the median of the numbers?

1) \(a+b+c+d=16\)
2) The product of the 3 numbers of a, b, c, and d is 15


For anyone thinking there is a wording problem in statement 2.
The product of the 3 numbers of a, b, c, and d is 15
please note the use of the word "of", stating 3 numbers from the mentioned list.
If they wanted to give the indication that a*b*c=d=15, there would have been utilization two "and" words, one for list and another to indicate the second variable , "d".
something like, The product of the numbers a, b and c, and d are 15.
Hope this helps
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink] New post   10 Dec 2023, 00:56
I still have a doubt, regarding the 2nd statement i.e. the product of any of the 3 out of the 4 a,b,c and d is 15.
That means there is still one unknown variable, let's say 'abc=15' and so 'd' remains unknown. If there is still 1 unknown variable how are we getting the median of 4 numbers then?
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Re: If a, b, c, and d are different positive odd numbers, what is the medi [#permalink]
10 Dec 2023, 00:56
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