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If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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Updated on: 13 Jun 2016, 10:57
Question Stats:
75% (02:06) correct 25% (02:37) wrong based on 227 sessions
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If \(p=\frac{(a + c)}{(b+d)} = \frac{(c+e)}{(d + f)} = \frac{(a + e)}{( b + f)}\) and all variables are positive,then which is true ? I. p= a/b II. p= e/f III. p= c/d A. I only B. II only C. I & I D. II & III E. I, II & III
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Originally posted by pran21 on 17 Aug 2014, 00:15.
Last edited by Bunuel on 13 Jun 2016, 10:57, edited 1 time in total.
Edited the question.




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Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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17 Aug 2014, 01:45
p =(a+c)/(b+d) => a+c = (b+d)*p ...(1) p = (c+e) / (d+f) => c+ e = (d+f)*p ....(2) p = (a+e) / (b+f) => a + e = (b+f)*p ...(3) (1)  (2) we get ae = (bf)*p ...(4) (3) + (4) we get 2a = 2bp => p =a/b (3)  (4) we get 2e = 2fp => p=e/f (2)  (3) we get ca = (db)*p ...(5) (1) + (5) we get 2c = 2dp => p=c/d So, Answer will be E hope it helps!
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Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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17 Aug 2014, 19:19
We are told that variables a through f are all positive. However, the question does not say anything about them being same/distinct. So, I assumed a through f to be 1 each. That makes p = 1 and all the three options work.
Answer (E).



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Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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17 Aug 2014, 22:11
\(p = \frac{a + c}{b+d} = \frac{c+e}{d + f} = \frac{a + e}{b + f}\) Let a = b = c = d = e = f = 1 \(p =\frac{1+1}{1+1} = \frac{1+1}{1+1} = \frac{1+1}{1+1} = 1\) Satisfies all 3 conditions given Answer = E
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Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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03 Nov 2017, 02:05
From the question stem, we can infer that a=b=c=d=e=f. So P will always be equal to 1. So, I. p= a/b =1 II. p= e/f =1 III. p= c/d= 1 So all are correct. Hence option E
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Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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16 Dec 2017, 15:38
Chose a = 1, C=3, B=2, D=6, e=1 and f = 2 to make sure the ratios are equal as mentioned p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f) = 1/2.
I. p= a/b =1/2 II. p= e/f =4/8 = 1/2 III. p= c/d=4/8 = 1/2
And hence answer choice E




Re: If p = (a + c)/(b+d) = (c+e)/(d + f) = (a + e)/(b + f)
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16 Dec 2017, 15:38






