If x is a positive even integer, and n and m are cosecutive integers, then
$$\frac{\left(n-m\right)^x}{\left(m-n\right)^x}=?$$
A. -2
B. -1
C. 0
D. 1
E. 2
The OA is D.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
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If x is a positive even integer, and n and m...
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DavidG@VeritasPrep
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Pick easy numbers. Say x = 2, n = 4 and m = 3.swerve wrote:If x is a positive even integer, and n and m are cosecutive integers, then
$$\frac{\left(n-m\right)^x}{\left(m-n\right)^x}=?$$
A. -2
B. -1
C. 0
D. 1
E. 2
The OA is D.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
We want (4-3)^2 /(3-4)^2 = 1^2 / (-1)^2 = 1/1 = 1. The answer is D
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DavidG@VeritasPrep
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You can also use some simple number properties. Because we're raising both expressions to an even exponent, we know both numerator and denominator must be non-negative. We also know that the difference of two consecutive numbers will always be 1 or -1. If they can't be negative, we know both values must equal 1.swerve wrote:If x is a positive even integer, and n and m are cosecutive integers, then
$$\frac{\left(n-m\right)^x}{\left(m-n\right)^x}=?$$
A. -2
B. -1
C. 0
D. 1
E. 2
The OA is D.
Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
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Hi swerve,
We're told that X is a positive EVEN integer, and N and M are CONSECUTIVE integers. We're asked to find the value of [(N - M)^X] / ([M - N)^X]. This question can be solved by TESTing VALUES.
IF...
X = 2, N = 2 and M=3....
(2-3)^2 = (-1)^2 = +1
(3-2)^2 = (1)^2 = +1
+1/+1 = +1
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
We're told that X is a positive EVEN integer, and N and M are CONSECUTIVE integers. We're asked to find the value of [(N - M)^X] / ([M - N)^X]. This question can be solved by TESTing VALUES.
IF...
X = 2, N = 2 and M=3....
(2-3)^2 = (-1)^2 = +1
(3-2)^2 = (1)^2 = +1
+1/+1 = +1
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
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Scott@TargetTestPrep
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Notice that (n - m)^x / (m - n)^x = [(n - m)/(m - n)]^x = (-1)^xswerve wrote:If x is a positive even integer, and n and m are cosecutive integers, then
$$\frac{\left(n-m\right)^x}{\left(m-n\right)^x}=?$$
A. -2
B. -1
C. 0
D. 1
E. 2
Since x is a positive even integer, (-1)^x will always be equal to 1.
Alternate solution:
Let's use some strategic numbers for n, m, and x.
n = 4, m = 3, and x = 2, thus:
[(4 - 3)^2]/(3 - 4)^2 = 1^2/(-1)^2 = 1
Answer: D
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