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kiran1213
Joined: 01 Dec 2017
Last visit: 24 Dec 2018
Posts: 12
Given Kudos: 24
Location: India
Schools: EDHEC (II) IE Sept18 Intake AGSM '19 (S)
GMAT 1: 520 Q42 V22
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GPA: 2.4
D
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A=0.abc, where a, b and c are distinct digits, is \(A>\frac{3}{4}\)?
(1) a/b=2 and b/c=3/4
(2) 2(a+b)>10a+b
(1) a/b=2 and b/c=3/4
(2) 2(a+b)>10a+b
Updated on: 13 May 2019, 01:15
Originally posted by MahmoudFawzy on 24 Dec 2018, 14:07.
Last edited by MahmoudFawzy on 13 May 2019, 01:15, edited 2 times in total.
Last edited by MahmoudFawzy on 13 May 2019, 01:15, edited 2 times in total.
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Statement 1:
if \(a:b = 2:1\) & \(b:c = 3:4\), then \(a:b:c = 6:3:4\)
since a,b&c are single-digit numbers, the only valid value for \(A = 0.634\) , which is \(<\frac{3}{4}\) --> sufficient
Statement 2:
if \(2(a+b)>10a+b\), then it can be simplified to \(b>8a\).
so if \(a=1\), then \(b>8\) (9,10,...) and if \(a=2\), then \(b>9\) (10,11,...)
since a&b are single-digit numbers, the only valid value for \(b = 9\) and \(a = 1\)
so \(A = 0.19c\), which is \(<\frac{3}{4}\) regardless of the value of \(c\) --> sufficient
D
if \(a:b = 2:1\) & \(b:c = 3:4\), then \(a:b:c = 6:3:4\)
since a,b&c are single-digit numbers, the only valid value for \(A = 0.634\) , which is \(<\frac{3}{4}\) --> sufficient
Statement 2:
if \(2(a+b)>10a+b\), then it can be simplified to \(b>8a\).
so if \(a=1\), then \(b>8\) (9,10,...) and if \(a=2\), then \(b>9\) (10,11,...)
since a&b are single-digit numbers, the only valid value for \(b = 9\) and \(a = 1\)
so \(A = 0.19c\), which is \(<\frac{3}{4}\) regardless of the value of \(c\) --> sufficient
D
