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12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p https://gmatclub.com/forum/12daysofchristmasgmatcompetitionday8ifx4p10andp40432120.html 
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Author:  Bhartii [ 21 Dec 2022, 10:02 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
option E. solving x=4p+10 we get p in terms of x: p=x10/4 then putting above equation of p in 2nd equation i.e modp<7 solving we get: 18<x<38 
Author:  LeopardLiu [ 21 Dec 2022, 10:07 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
Answer is E If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? 7 < p < 7 > 28 < 4p < 28 > 18< 4p + 10 < 38 
Author:  divyadna [ 21 Dec 2022, 10:47 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
p=7 Therefore 7<p<7 x=4p+10 (7)*4+10<x<(7)*4+10 28+10<x<38 18< x <38 Ans should be E Posted from my mobile device 
Author:  kavitaverma [ 21 Dec 2022, 10:48 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38  IMO E 7<p<7 at 7, x= 18 at 7, x=38 so, 18 < x < 38 
Author:  kratos0906 [ 21 Dec 2022, 11:16 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
p<7 means 7<p<7. x=4p+10 so, 7*4+10<x<7*4+10 18<x<38. Hence, IMO E. 
Author:  GautamKhanduja [ 21 Dec 2022, 11:26 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
p < 7 7<p<7 28<4p<28 18<4p+10<38 Option E 
Author:  Aks111 [ 21 Dec 2022, 11:48 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
p<7 => 7 < p < 7 x = 4p + 10 If p = 7 then x = 4*7+10 = 28 + 10 = 38 If p = 7 then x = 4*7+10 = 28 + 10 = 18 Hence, possible range of values of x => 18<x<38 Answer: E 
Author:  arya251294 [ 21 Dec 2022, 11:59 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38 p tells that 7 < p < 7 substituting the min and max of p in the equation x = 4p + 10 gives us the answer  option E. 
Author:  snowbee15 [ 21 Dec 2022, 12:20 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
First of all based on the prompt p < 7 : p can either be p or p , so Situation 1: p < 7 > good as it is Situation 2: p<7 > here based on the rules of inequalities we move the negative sign to the 7 and flip the inequality sign > p> 7 so from the prompt we get 7< p < 7 then we have been told that x = 4p + 10 > lets rearrange this to get p alone > (x  10) / 4 = p putting this all together we get  7 < (x10)/4 < 7 Situation 1:  7 < (x10)/4 > multiply both sides by 4 28 < x  10 > add 10 to both sides 18 < x Situation 2: (x10)/4 < 7 > multiply both sides by 4 x  10 < 28 > add 10 to both sides x < 38 therefore, E is the answer which is all the above steps put together giving 18<x<38 
Author:  mysterymanrog [ 21 Dec 2022, 12:33 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
x=4p+10 x10/4=p Therefore abs(x10/4)<7 Case 1: x10/4<7 x10<28 x<38 Case 2: (x10/4)<7 x10/4>7 x10>28 x>18 combine the two 18<x<38 E. 
Author:  limuengaoey [ 21 Dec 2022, 14:25 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7 given 7<p<7 then we put the p in the range in the equation above we will get; 4(7)+10<x<4(7)+10 18<x<38 hence, answer is E 
Author:  rajtare [ 21 Dec 2022, 15:56 ]  
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p  
Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38
P<7 can be rewritten as 7<p<7 if p =7, x = 28+10 =18, i.e. since p is greater than 7, thus x will be greater than 18 if p = 7, x =28+10 =38, ie. since p is greater than 7, thus x will be greater than 38 18<x<38 thus correct option is answer choice E 
Author:  HarshaBujji [ 21 Dec 2022, 18:11 ]  
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p  
Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38
If p < 7 => p can be from (7,7). x can be 18 in case of p = 7; x can be 38 in case of p=7 Hence the range of x = (18,38). IMO E 
Author:  sampathgelam [ 21 Dec 2022, 19:49 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7, Find correct range of values of x ? the value of p is 7<p<7 hence the equation value of 4p+10 will be in between 18 and 38 18<x<38 Hence option E i.e 18 < x < 38 is correct 
Author:  Lizaza [ 21 Dec 2022, 23:27 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
To solve this, we just need to open the modulus for P: \(p < 7\), which means \(7 < p < 7\) Now, the limiting values of the original expression will be:
And as P is strictly less, not equal to 7, then X will never actually equal to those values, it will always remain in between: \(18 < x < 38\) Therefore, the answer is E. 
Author:  Stanindaw [ 22 Dec 2022, 00:24 ]  
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p  
Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38
p lies from 7 to 7 therefore x is 18 to 38 Posted from my mobile device 
Author:  rahulp11 [ 22 Dec 2022, 01:15 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? \(p < 7 ⟹ 7 < p < 7\) substituting the minimum and maximum values of p in x = 4p + 10 \(x > 4(7) + 10 ⟹ x > 18\\ x < 4(7) + 10 ⟹ x < 38\) A. 7 < x < 7 B. x > 18 C. x < 38 D. 38 < x < 18 E. 18 < x < 38 Correct 
Author:  Bekobod [ 22 Dec 2022, 02:44 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x? To find the domain of x, first, it is essential to find the range of values of p<7. Finally, to substitute p in the equation with the beginning and the end values of the range of p. 7<p<7 Min:x=4*(7)+10 => x=18 Max: x=4*7+10 => x=38 18<x<38 Answer E 
Author:  szcz [ 22 Dec 2022, 02:57 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
Based on given details 7<p<7 Hence x=4p+10 xmin=18 and xmax=38 Hence answer E 
Author:  Catman [ 22 Dec 2022, 03:24 ] 
Post subject:  Re: 12 Days of Christmas GMAT Competition  Day 8: If x = 4p + 10 and p 
If x = 4p + 10 and p < 7, which of the following represents the correct range of values of x ? 7 <p <7 4p will be 28 <p <28 4p+10 will be 18 <p < 38 Hence IMO E. 
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