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The following numerical expressions are given
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22 Apr 2021, 06:35
22 Apr 2021, 06:35
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Question Stats:
43% (02:47) correct
56% (02:43) wrong based on 16 sessions
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The following numerical expressions are given:
\(K=(\frac{2}{3})of(\frac{3}{2}+a)\)
\(L=(\frac{3}{4})of(\frac{4}{3}+b)
\)
\(M=(\frac{a}{b})of(\frac{3}{5}+3)
\)
Which of the following statements are true ?'
Select all that apply
A. \(12(K+L)=8a+9b+24\)
B. \(20(K+L)=\frac{2a+3b+7}{2}\)
C. \(20(L+M)=(\frac{15b^2+20b+72a}{b})\)
D. \((L+M)=(\frac{15b^2+20b+48a}{5b})\)
E. \((K+M)=(\frac{10ab+15b+54a}{15b})\)
F. \((K+M)=(\frac{10ab+5b+48a}{5b})\)
G. \((L-K)=(\frac{2a+3b-1}{3})\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
\(K=(\frac{2}{3})of(\frac{3}{2}+a)\)
\(L=(\frac{3}{4})of(\frac{4}{3}+b)
\)
\(M=(\frac{a}{b})of(\frac{3}{5}+3)
\)
Which of the following statements are true ?'
Select all that apply
A. \(12(K+L)=8a+9b+24\)
B. \(20(K+L)=\frac{2a+3b+7}{2}\)
C. \(20(L+M)=(\frac{15b^2+20b+72a}{b})\)
D. \((L+M)=(\frac{15b^2+20b+48a}{5b})\)
E. \((K+M)=(\frac{10ab+15b+54a}{15b})\)
F. \((K+M)=(\frac{10ab+5b+48a}{5b})\)
G. \((L-K)=(\frac{2a+3b-1}{3})\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: The following numerical expressions are given
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24 Apr 2021, 19:35
24 Apr 2021, 19:35
1
To make the calculation easier, take \(a = b = 1\)
\(K=(\frac{2}{3})of(\frac{3}{2}+a)\) = \(\frac{2}{3} * \frac{5}{2}\) = \(\frac{5}{3}\)
\(L=(\frac{3}{4})of(\frac{4}{3}+b)\) = \(\frac{3}{4} * \frac{7}{3}\) = \(\frac{7}{4}\)
\(M=(\frac{a}{b})of(\frac{3}{5}+3)\) = \(\frac{1}{1} * \frac{18}{5}\) = \(\frac{18}{5}\)
By putting the values in the options one by one, we will get answers A C E
Answer A C E
\(K=(\frac{2}{3})of(\frac{3}{2}+a)\) = \(\frac{2}{3} * \frac{5}{2}\) = \(\frac{5}{3}\)
\(L=(\frac{3}{4})of(\frac{4}{3}+b)\) = \(\frac{3}{4} * \frac{7}{3}\) = \(\frac{7}{4}\)
\(M=(\frac{a}{b})of(\frac{3}{5}+3)\) = \(\frac{1}{1} * \frac{18}{5}\) = \(\frac{18}{5}\)
By putting the values in the options one by one, we will get answers A C E
Answer A C E
Re: The following numerical expressions are given
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20 Mar 2025, 09:39
20 Mar 2025, 09:39
Carcass as the given solution says we can put a=b=1 how do we know they can or cannot be same or different?
