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In a series of four cricket matches, the average number of runs.......
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Updated on: 18 Mar 2019, 22:34
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In a series of four cricket matches, the average number of runs scored by Jack and Jill is same. The number of runs scored by Jill in the four matches are 45, 72, 18 and 25 respectively. If Jack’s median score is 30 and his highest score, in the series, is thrice his least score of the series, then what is the highest score of Jack in the series? A. 25 B. 30 C. 60 D. 75 E. Cannot be determined To read all our articles:Must read articles to reach Q51
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Re: In a series of four cricket matches, the average number of runs.......
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25 Oct 2018, 04:44
In a series of four cricket matches, the average number of runs scored by Jack and Jill is same. The number of runs scored by Jill in the four matches are 45, 72, 18 and 25 respectively. If Jack’s median score is 30 and his score in the first match is thrice his score in the fourth match, then what is the highest score of Jack in the series? [list] A. 25 B. 30 C. 60 D. 75 E. Cannot be determined Average score of Jill is 40 so average score of Jack wll also be 40 1.jack's median score R2+ R3/2 = 30 R2+ R3= 60 2. Jack's runs in R1 = 3 R4 R1+ R2 + R3 + R4/ 4 = 40 after plugging the values (4R4 + 60)/4 = 40 R 4 = 25 R 1 = 75 So 75 is the highest score of Jack in the series. Choice D is correct Thanks Sent from my Lenovo K33a42 using GMAT Club Forum mobile app
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Re: In a series of four cricket matches, the average number of runs.......
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25 Oct 2018, 05:25
In a series of four cricket matches, the average number of runs scored by Jack and Jill is same. The number of runs scored by Jill in the four matches are 45, 72, 18 and 25 respectively. If Jack’s median score is 30 and his least score, in the series, is thrice his highest score of the series, then what is the highest score of Jack in the series? A. 25 B. 30 C. 60 D. 75 E. Cannot be determined Sol Ji 18,25,45,72 = 160 JA x,y,z,3x Now, JA= 4x+y+z =160 (avg score same so total score is same)(1) Jack’s median score is 30 (y+z)/2= 30 => y+z= 60(2) putting value of 2 in 1 4x+y+z=160 4x=100 x=25 => 3x= 75 (D)
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Re: In a series of four cricket matches, the average number of runs.......
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25 Oct 2018, 07:38
EgmatQuantExpert wrote: In a series of four cricket matches, the average number of runs scored by Jack and Jill is same. The number of runs scored by Jill in the four matches are 45, 72, 18 and 25 respectively. If Jack’s median score is 30 and his least score, in the series, is thrice his highest score of the series, then what is the highest score of Jack in the series? A. 25 B. 30 C. 60 D. 75 E. Cannot be determined Avg of Jill is \(\frac{45 + 72 + 18 + 25}{4} = 40\) Runs scored by Jack in Ascending Order be \(a + b + c + d\) \(\frac{b + c}{2} = 30\) Or, \(b + c = 60\) Further \(a = 3d\) So We have \(a + d + ( b + c ) = 160\) Or, \(3d + d + 60 = 160\) Or, \(4d = 100\) Or, \(d = 25\) Thus, Highest score must be 25*3 = 75 , Answer must be (D)
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In a series of four cricket matches, the average number of runs.......
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Updated on: 18 Mar 2019, 22:34
Solution Given:• Average runs scored by both Jack and Jill, in the series, is same • Runs scored by Jill in four matches = {45, 72, 18, 25} • Jack’s median score = 30 • Jack’s highest score in the series = 3 * his least score in the series To find:• The highest score of Jack in the series Approach and Working: • Average runs scores by Jill = Sum of his scores in all matches/number of matches = \(\frac{(45 + 72 + 18 + 25)}{4}= \frac{160}{4} = 40\) • Average runs scored by Jack = \(\frac{Sum of his scores in all matches}{4}\) • Given, both averages are same
o Which implies, \(\frac{sum of all Jack’s scores}{4} = 40\) o Thus, sum of Jack’s scores = 40 * 4 = 160
• Let a, b, c, d be the scores of Jack in increasing order • Given, median score = 30
o Implies, \(\frac{(b + c)}{2} =30\) o Thus, b + c = 60
• And, we are also given that d = 3a • Sum of all scores of Jack =a + b + c + d = a + 60 + 3a = 160
o Thus, \(a = \frac{100}{4} = 25\) • Therefore, the highest score of Jack in the series = 3 * 25 = 75 Hence, the correct answer is option D. Answer: D
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Re: In a series of four cricket matches, the average number of runs.......
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29 Oct 2018, 03:57
Q should be changed to "his highest score, in the series, is thrice his lowest score of the series" ?



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Re: In a series of four cricket matches, the average number of runs.......
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16 Mar 2019, 19:33
EgmatQuantExpert wrote: Solution Given:• Average runs scored by both Jack and Jill, in the series, is same • Runs scored by Jill in four matches = {45, 72, 18, 25} • Jack’s median score = 30 • Jack’s least score in the series = 3 * his highest score in the series To find:• The highest score of Jack in the series Approach and Working: • Average runs scores by Jill = Sum of his scores in all matches/number of matches = \(\frac{(45 + 72 + 18 + 25)}{4}= \frac{160}{4} = 40\) • Average runs scored by Jack = \(\frac{Sum of his scores in all matches}{4}\) • Given, both averages are same
o Which implies, \(\frac{sum of all Jack’s scores}{4} = 40\) o Thus, sum of Jack’s scores = 40 * 4 = 160
• Let a, b, c, d be the scores of Jack in increasing order • Given, median score = 30
o Implies, \(\frac{(b + c)}{2} =30\) o Thus, b + c = 60
• And, we are also given that d = 3a • Sum of all scores of Jack =a + b + c + d = a + 60 + 3a = 160
o Thus, \(a = \frac{100}{4} = 25\) • Therefore, the highest score of Jack in the series = 3 * 25 = 75 Hence, the correct answer is option D. Answer: DShouldn't the Question be "Highest Score is thrice the least Score"?? Moreover you have repeated this statement in your solution also. Am i not getting it right?



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Re: In a series of four cricket matches, the average number of runs.......
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18 Mar 2019, 07:02
pankajpatwari wrote: Shouldn't the Question be "Highest Score is thrice the least Score"?? Moreover you have repeated this statement in your solution also. Am i not getting it right? Yes, you are write. At first, I was confused as well. EgmatQuantExpert can you correct it, please, thanks.



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Re: In a series of four cricket matches, the average number of runs.......
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18 Mar 2019, 22:37
Hey mtambiev, pankajpatwari and pandeyashwin, Thanks for pointing it out. We've made the necessary changes.
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Re: In a series of four cricket matches, the average number of runs.......
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