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7^3/42^2 or 5/36
[#permalink]
18 Jul 2022, 16:01
18 Jul 2022, 16:01
Expert Reply
00:00
Question Stats:
100% (00:38) correct
0% (00:00) wrong based on 11 sessions
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Quantity A |
Quantity B |
\( \frac{7^3}{42^2} \) |
\(\frac{ 5}{36 }\) |
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
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: 7^3/42^2 or 5/36
[#permalink]
21 Jul 2022, 01:11
21 Jul 2022, 01:11
Expert Reply
Re: 7^3/42^2 or 5/36
[#permalink]
21 Jul 2022, 02:50
21 Jul 2022, 02:50
1
First we consider Quantity A -
(7*7*7)/(42*42)
By reducing the fraction we get - 7/36
In case of Quantity B -
We have, 5/36
Now to compare fractions, we cross multiply fractions by multiplying the denominator of one fraction with the numerator of the other fraction and then comparing the two values. The fraction with the larger value is the larger fraction.
*Note: Be careful to always go from denominator to numerator!
Hence, we cross multiply the two fractions, 7/36 (Quantity A) and 5/36 (Quantity B)
=> 7*36 > 5*36
=> 252 > 180
Therefore, Quantity A is greater.
(7*7*7)/(42*42)
By reducing the fraction we get - 7/36
In case of Quantity B -
We have, 5/36
Now to compare fractions, we cross multiply fractions by multiplying the denominator of one fraction with the numerator of the other fraction and then comparing the two values. The fraction with the larger value is the larger fraction.
*Note: Be careful to always go from denominator to numerator!
Hence, we cross multiply the two fractions, 7/36 (Quantity A) and 5/36 (Quantity B)
=> 7*36 > 5*36
=> 252 > 180
Therefore, Quantity A is greater.
