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Author:  nalinnair [ 22 May 2016, 23:00 ] 
Post subject:  For all x, the expression x* is defined to be ax + a, where a is...... 
For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) 
Author:  OptimusPrepJanielle [ 23 May 2016, 00:02 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) x* = ax + a = a (x + 1) 2* = ? Statement 1: 3* = 2 or 3a + a = 2 a = 1/2 Hence 2* = (1/2)*(2 + 1) = 3/2 SUFFICIENT Statement 2: 5* = 3 Or 5a + a = 3 a = 1/2 Hence 2* = (1/2)*(2 + 1) = 3/2 SUFFICIENT Correct Option: D 
Author:  arirux92 [ 24 May 2016, 04:54 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
Trying to solve these equations is unnecessary and in 90% of DS questions a waste of time A) 3a + a = 2 Linear eqn with 1 variable, 1 solution. sufficient 2) 5 a + a = 6 Same reasoning as above Answer : D 
Author:  dineshril [ 19 Dec 2017, 07:47 ] 
Post subject:  For all x, the expression x* is defined to be ax + a, where a is...... 
nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) Given =>x*=ax+a =>x*=a(x+1) Therefore =>2*=a(2+1) =>2*=3a (1) so if we can find the value of 'a' we can hav the value of 2* Now Statement 1 says 3*=2 3*=4a from (1) => 4a=2 => a=2/4=1/2 sufficient Statement 2 says 5*=3 5*=6a from (1) => 6a=3 => a=3/6=1/2 sufficient Therefore option 'D' Thanks 
Author:  amanvermagmat [ 19 Dec 2017, 08:50 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
dineshril wrote: nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) Given =>x*=ax+a =>x*=a(x+1) Therefore =>2*=a(2+1) =>2*=3a (1) so if we can find the value of 'a' we can hav the value of 2* Now Statement 1 says 3*=2 3*=4a from (1) => 4a=2 => a=2/4=1/2 sufficient Statement 2 says 5*=3 5*=6a from (1) => 6a=3 => a=3/6=1/2 sufficient Therefore option 'E' Thanks Hi Correct solution. But when each statement alone is sufficient to answer a question, the answer is D I guess that was a typo 
Author:  dineshril [ 19 Dec 2017, 11:30 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
amanvermagmat wrote: dineshril wrote: nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) Given =>x*=ax+a =>x*=a(x+1) Therefore =>2*=a(2+1) =>2*=3a (1) so if we can find the value of 'a' we can hav the value of 2* Now Statement 1 says 3*=2 3*=4a from (1) => 4a=2 => a=2/4=1/2 sufficient Statement 2 says 5*=3 5*=6a from (1) => 6a=3 => a=3/6=1/2 sufficient Therefore option 'E' Thanks Hi Correct solution. But when each statement alone is sufficient to answer a question, the answer is D I guess that was a typo Hi Aman Thanks for the correction. Its 'D' 
Author:  KanishkM [ 29 Jan 2019, 23:17 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) So basically 2^* will be 2a + a => 3a Now if i can get value of a, i will be good (1) \(3^* = 2\) 3a + a = 2 a = 1/2 We are good (2) \(5^* = 3\) 6a = 3 a = 1/2 We are good Both statements are Sufficient D Posted from my mobile device 
Author:  MHIKER [ 16 Dec 2020, 07:22 ] 
Post subject:  For all x, the expression x* is defined to be ax + a, where a is...... 
nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) \(2^*=a2+a=2a+a;\) We need know the value of \(a\) (1)\(3^*=a3=+a=3a+a; \ given \ that \ 3a+a=2; 4a=2; a=\frac{1}{2} \ Sufficient\) (2) \(5^*=53=+a=5a+a; \ given \ that \ 5a+a=3; 6a=3; a=\frac{1}{2} \ Sufficient\) The answer is \(D\) 
Author:  ScottTargetTestPrep [ 16 Jun 2021, 04:25 ] 
Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
nalinnair wrote: For all \(x\), the expression \(x^*\) is defined to be \(ax + a\), where \(a\) is a constant. What is the value of \(2^*\)? (1) \(3^* = 2\) (2) \(5^* = 3\) Solution: Question Stem Analysis: We need to determine the value of 2* given that x* = ax + a. Therefore, we need to determine the value of a(2) + a = 3a. We see that if we can determine the value of a, then we can determine the value of 2*. Statement One Alone: We see that a(3) + a = 2. So we have 4a = 2 or a = ½. Since 2* = 3a, then 2* = 3(½) = 3/2. Statement one alone is sufficient. Statement Two Alone: We see that a(5) + a = 3. So we have 6a = 3 or a = ½. Since 2* = 3a, 2* = 3(½) = 3/2. Statement two alone is sufficient. Answer: D 
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Post subject:  Re: For all x, the expression x* is defined to be ax + a, where a is...... 
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