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M is the mean of 5,x, and 7
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01 Feb 2024, 06:14
01 Feb 2024, 06:14
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60% (01:02) correct
40% (01:47) wrong based on 10 sessions
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M is the mean of 5,x, and 7
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(M\) |
\(\frac{5+x+M+7}{4}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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M is the mean of 5,x, and 7
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01 Feb 2024, 15:05
01 Feb 2024, 15:05
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The mean of a set of terms = sum of terms / number of terms
Since M is the mean of 5, x, and 7, \(\frac{5+x+7}{3}= M\)
If you multiply both sides by 3 to get rid of the denominator, \(5+x+7 = 3M\)
We see that (5+x+7) is part of the numerator of Quantity B. Replace it with 3M.
\(\frac{5+x+M+7}{4} = \frac{3M + M}{4} = \frac{4M}{4} = M\)
Thus, Quantity B is also M.
Since M is the mean of 5, x, and 7, \(\frac{5+x+7}{3}= M\)
If you multiply both sides by 3 to get rid of the denominator, \(5+x+7 = 3M\)
We see that (5+x+7) is part of the numerator of Quantity B. Replace it with 3M.
\(\frac{5+x+M+7}{4} = \frac{3M + M}{4} = \frac{4M}{4} = M\)
Thus, Quantity B is also M.
gmatclubot
M is the mean of 5,x, and 7 [#permalink]
01 Feb 2024, 15:05
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