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a, b, and c are consecutive integers such that a < b < c < 4
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02 Sep 2018, 07:12
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a, b, and c are consecutive integers such that a < b < c < 4.
Quantity A
Quantity B
The range of a, b, and c
The average of a, b, and c
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Re: a, b, and c are consecutive integers such that a < b < c < 4
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16 Nov 2018, 12:59
1
sandy wrote:
a, b, and c are consecutive integers such that a < b < c < 4.
Quantity A
Quantity B
The range of a, b, and c
The average of a, b, and c
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Since the values (a, b and c) are 3 consecutive integers, then the range must be 2. We know this, because b is 1 greater than a, which means c is 2 greater than a Range = c - a = 2
As far as the average is concerned, we know very little. So, let's TEST some possible cases:
CASE A: a, b and c COULD equal 1, 2 and 3 (respectively), in which case the average = (1 + 2 + 3)/3 = 2 So, we get: Quantity A: 2 Quantity B: 2 In this case, the two quantities are EQUAL
CASE B: a, b and c COULD equal 0, 1 and 2 (respectively), in which case the average = (0 + 1 + 2)/3 = 1 So, we get: Quantity A: 2 Quantity B: 1 In this case, Quantity A IS GREATER
Re: a, b, and c are consecutive integers such that a < b < c < 4
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21 Nov 2018, 10:00
2
GreenlightTestPrep wrote:
sandy wrote:
a, b, and c are consecutive integers such that a < b < c < 4.
Quantity A
Quantity B
The range of a, b, and c
The average of a, b, and c
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Since the values (a, b and c) are 3 consecutive integers, then the range must be 2. We know this, because b is 1 greater than a, which means c is 2 greater than a Range = c - a = 2
As far as the average is concerned, we know very little. So, let's TEST some possible cases:
CASE A: a, b and c COULD equal 1, 2 and 3 (respectively), in which case the average = (1 + 2 + 3)/3 = 2 So, we get: Quantity A: 2 Quantity B: 2 In this case, the two quantities are EQUAL
CASE B: a, b and c COULD equal 8, 9 and 10 (respectively), in which case the average = (8 + 9 + 10)/3 = 9 So, we get: Quantity A: 2 Quantity B: 9 In this case, Quantity B IS GREATER
Re: a, b, and c are consecutive integers such that a < b < c < 4
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20 Jun 2023, 02:02
QA: Given that a b and c are consecutive integers, with a being the smallest we can express: a=x b=x+1 c=x+2 range is (max-min)=x+2-x=2 so QA is always 2.
QB: Knowing that they are consecutive integers the average can be expressed as: \(\frac{(x+x+1+x+2)}{3}\) \(\frac{(3x+3)}{3}\) \(avg=x+1\) Seeing that this value depends on x, we need to find the highest possible value of a This occurs when: c=3, b=2, a=1 so x<=1 Notice that for the case of x=1, QB and QA are the same For x<1, QA is larger than QB.
Two outcomes, D
gmatclubot
Re: a, b, and c are consecutive integers such that a < b < c < 4 [#permalink]