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Set X consists of different positive numbers arranged in ascending ord

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enigma123
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Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   17 Nov 2011, 16:41
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Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. If K, L and M are consecutive integers, what is the arithmetic mean of set X?

(1) The product K × L × M is a multiple of 6
(2) There are at least 2 prime numbers among K, L and M
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   17 Nov 2011, 23:25
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Enigma, I am inclined to agree with you on choice E. Here is my logic:

Statement 1 says - KxLxM is a multiple of 6. This could be either 1,2,3 which equals 6 (6 is a multiple of itself) or 2,3,4 (which equals 12 also a multiple of 6) - so insuff.
Statement 2 says - There are at least 2 prime numbers among K,L, and M - this since K,L,M has to be 1-4 and consecutive this gives us no new information - so insuff.

Taken together doesn't help us either.

Hence I am inclined to say E.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   Updated on: 18 Nov 2011, 11:05
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Thanks alinomoto. I see my bad. edited.

statement 2 gives us 2 possibilities: 234 or 123 [different positive numbers arranged in ascending order] Not sufficient

together: since K*L*M is multiple of 6, 234 and 123 are the only possibilities.
E

Originally posted by BDSunDevil on 18 Nov 2011, 05:42.
Last edited by BDSunDevil on 18 Nov 2011, 11:05, edited 1 time in total.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   18 Nov 2011, 07:58
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BDSunDevil wrote:
statement 2 gives us 2 possibilities: 234 or 123 [different positive numbers arranged in ascending order] Not sufficient

together: since K*L*M is multiple of 6, 123 is the only possibilities.
C


I don't think this is correct.

The only 3 consecutive positive integer combination under 5 could be 1,2,3 or 2,3,4.

Statement 1 also gives you the same 2 possibilities. K*L*M could be 1*2*3 = 6 a multiple of 6.

2*3*4 = 24 (also a multiple of 6). NOT SUFFICIENT.

Statement 2 is saying that it has 2 different primes and 2,3 are in both, so again, statement 2 is NOT SUFFICIENT.

1) & 2) combined don't help as both still give you either 1,2,3 or 2,3,4 and the means will be different depending on which 3 numbers k,l,m are.

OA should be E.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   14 Apr 2015, 04:06
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I think that the correct answer is C as the number "1" is not a prime number.

The prime number series starts from 2 ie: 2,3,5,7,11....... !
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   14 Apr 2015, 05:28
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prashantshukla wrote:
I think that the correct answer is C as the number "1" is not a prime number.

The prime number series starts from 2 ie: 2,3,5,7,11....... !


No, the correct answer is E. Consider below examples:

K=1, L=2=prime, M=3=prime.
K=2=prime, L=3=prime, M=4.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   30 Mar 2018, 06:41
Bunuel wrote:
prashantshukla wrote:
I think that the correct answer is C as the number "1" is not a prime number.

The prime number series starts from 2 ie: 2,3,5,7,11....... !


No, the correct answer is E. Consider below examples:

K=1, L=2=prime, M=3=prime.
K=2=prime, L=3=prime, M=4.


K=3,L=4,M=5
IS THIS SET POSSIBLE.BECAUSE THE CONDITION GIVEN IS "ELEMENTS OF THE SET ARE IN ASCENDING ORDER"
MAKING 2 ELEMENTS EQUAL WILL NOT VIOLATE THE CONDITION
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   30 Mar 2018, 08:34
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JAIN09 wrote:
Bunuel wrote:
prashantshukla wrote:
I think that the correct answer is C as the number "1" is not a prime number.

The prime number series starts from 2 ie: 2,3,5,7,11....... !


No, the correct answer is E. Consider below examples:

K=1, L=2=prime, M=3=prime.
K=2=prime, L=3=prime, M=4.


K=3,L=4,M=5
IS THIS SET POSSIBLE.BECAUSE THE CONDITION GIVEN IS "ELEMENTS OF THE SET ARE IN ASCENDING ORDER"
MAKING 2 ELEMENTS EQUAL WILL NOT VIOLATE THE CONDITION


Given set is K, L, M, 5, 7. We are told that the set consists of different positive numbers arranged in ascending order.

Thus, set {K=3, L=4, M=5, 5, 7} is not possible because there are two 5's there.

P.S. Please turn of caps lock when posting.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   24 Dec 2019, 11:18
alinomoto wrote:
BDSunDevil wrote:
statement 2 gives us 2 possibilities: 234 or 123 [different positive numbers arranged in ascending order] Not sufficient

together: since K*L*M is multiple of 6, 123 is the only possibilities.
C


I don't think this is correct.

The only 3 consecutive positive integer combination under 5 could be 1,2,3 or 2,3,4.

Statement 1 also gives you the same 2 possibilities. K*L*M could be 1*2*3 = 6 a multiple of 6.

2*3*4 = 24 (also a multiple of 6). NOT SUFFICIENT.

Statement 2 is saying that it has 2 different primes and 2,3 are in both, so again, statement 2 is NOT SUFFICIENT.

1) & 2) combined don't help as both still give you either 1,2,3 or 2,3,4 and the means will be different depending on which 3 numbers k,l,m are.

OA should be E.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink] New post   11 Nov 2023, 07:48
enigma123 wrote:
Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. If K, L and M are consecutive integers, what is the arithmetic mean of set X?

(1) The product K × L × M is a multiple of 6
(2) There are at least 2 prime numbers among K, L and M



Good question:

Question stem: Numbers are different and arranged in ascending order so the range for K L M is 1 to 4.

Statement 1:
The product of 3 consecutive integers is always divisible by 6. Hence no new information.
the numbers can be 1,2,3 or 2,3,4
Not sufficient

Statement 2:
This is a trap as we might just think of 2,3,4 as 2 and 3 are the prime numbers. But even 1,2,3 has two primes. So this statement doesn't provide us anything new. Hence insufficient.

Combined:
Both the statements point to two cases so not sufficient.

Hence E.
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Re: Set X consists of different positive numbers arranged in ascending ord [#permalink]
11 Nov 2023, 07:48
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