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The integers k, l, and m are consecutive even integers between 23 and

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The integers k, l, and m are consecutive even integers between 23 and  [#permalink]

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New post 14 Aug 2018, 02:12
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (01:06) correct 13% (01:02) wrong based on 72 sessions

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Concentration: Accounting, Finance
GPA: 3.68
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Re: The integers k, l, and m are consecutive even integers between 23 and  [#permalink]

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New post 14 Aug 2018, 02:30
Bunuel wrote:
The integers k, l, and m are consecutive even integers between 23 and 33. Which of the following could be the average (arithmetic mean) of k, l, and m?

(A) 24
(B) 25
(C) 25.5
(D) 28
(E) 32



Probable values of k l m : 24 -26 -28 - 30 - 32. As they are consecutive even integers:

1) 24-26-28

2) 26-28-30

3) 28-30-32


So 28 could be the average.

The best answer is D.
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Re: The integers k, l, and m are consecutive even integers between 23 and  [#permalink]

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New post 14 Aug 2018, 02:44
Bunuel wrote:
The integers k, l, and m are consecutive even integers between 23 and 33. Which of the following could be the average (arithmetic mean) of k, l, and m?

(A) 24
(B) 25
(C) 25.5
(D) 28
(E) 32


These 3 can be written as
k,K+2,k+4 = 3k+6
am = (3k+6)/3 = k+2

following are possible

1.24,26,28
2.26,28,30
3.28,30,32

From answer choices we can confirm that am = 28
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Re: The integers k, l, and m are consecutive even integers between 23 and  [#permalink]

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New post 14 Aug 2018, 04:02
Bunuel wrote:
The integers k, l, and m are consecutive even integers between 23 and 33. Which of the following could be the average (arithmetic mean) of k, l, and m?

(A) 24
(B) 25
(C) 25.5
(D) 28
(E) 32


Between 23 and 33, consecutive even integers are 24,26,28,30,32
So, 3 consecutive integers may be paired as
1. 24,26,28
2. 26,28,30
3. 28,30,32

The middle number will be the average of 3 consecutive integers. So, the average could be 26 or 28 or 30

Hence, Answer D
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Re: The integers k, l, and m are consecutive even integers between 23 and  [#permalink]

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New post 21 Aug 2018, 23:07
The question says there are 3 consecutive even integers and we need find average of them. Even numbers between 23 and 33 will be {24, 26, 28, 30, 32}.
We know that the average of three consecutive terms has to be the middle term. That means for the question it has to be the even term. So we can eliminate option (B) and (C). Now, it can also be seen that 24 and 32 cannot be mean, as they are not the middle values of the set above. So, the correct answer option is (D).
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Re: The integers k, l, and m are consecutive even integers between 23 and   [#permalink] 21 Aug 2018, 23:07
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