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28 May 2017, 02:05
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E
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Difficulty:
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Question Stats:
73% (00:45) correct
27%
(00:56)
wrong
based on 100
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Is 500 the average (arithmetic mean) score on the GMAT?
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
(2) The highest GMAT score is 800 and the lowest score is 200
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
(2) The highest GMAT score is 800 and the lowest score is 200
28 May 2017, 02:32
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Is 500 the average (arithmetic mean) score on the GMAT?
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
If half of the people get more than 500 and half less than 500, we cannot clearly tell exactly what the mean will be.
For GMAT scores, 450 470 530 550 we will have arithmetic mean of 500
But 450 470 520 540 will have mean lower than 500. Hence insufficient.
(2) The highest GMAT score is 800 and the lowest score is 200.
If the highest and lowest scores is 200 and 800, there may be a score like 600 in between.
The average of these 3 scores is not 500, whereas
if that score in between was 500, then we would get an average score of 500.
Hence, insufficient.
On combining we can't clearly tell that the average is definitely equal to 500
Consider 200 300 700 800, which has average of 500.
But 200 200 700 800, has average lesser than 500. This however satisfies both the conditions. Hence, insufficient.(Option E)
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
If half of the people get more than 500 and half less than 500, we cannot clearly tell exactly what the mean will be.
For GMAT scores, 450 470 530 550 we will have arithmetic mean of 500
But 450 470 520 540 will have mean lower than 500. Hence insufficient.
(2) The highest GMAT score is 800 and the lowest score is 200.
If the highest and lowest scores is 200 and 800, there may be a score like 600 in between.
The average of these 3 scores is not 500, whereas
if that score in between was 500, then we would get an average score of 500.
Hence, insufficient.
On combining we can't clearly tell that the average is definitely equal to 500
Consider 200 300 700 800, which has average of 500.
But 200 200 700 800, has average lesser than 500. This however satisfies both the conditions. Hence, insufficient.(Option E)
28 May 2017, 03:21
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Statement 1: Half of the people who take the GMAT score above 500 and half of the people score below 500.
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 540 : Average = 390 : Answer to question is No
200 , 300, 750 , 750 : Average = 500 : Answer to question is Yes
Statement 1 by itself is not sufficient
Statement 2: The highest GMAT score is 800 and the lowest score is 200
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 800 : Average = 475 : Answer to question is No
200 , 500, 500 , 800 : Average = 500 : Answer to question is Yes
Statement 2 by itself is not sufficient
combining 1 + 2
200 , 480 , 520 , 800 : Average = 500 : Answer to question is Yes
200 , 480 , 620 , 800 : Average = 525 : Answer to question is No
Hence E
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 540 : Average = 390 : Answer to question is No
200 , 300, 750 , 750 : Average = 500 : Answer to question is Yes
Statement 1 by itself is not sufficient
Statement 2: The highest GMAT score is 800 and the lowest score is 200
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 800 : Average = 475 : Answer to question is No
200 , 500, 500 , 800 : Average = 500 : Answer to question is Yes
Statement 2 by itself is not sufficient
combining 1 + 2
200 , 480 , 520 , 800 : Average = 500 : Answer to question is Yes
200 , 480 , 620 , 800 : Average = 525 : Answer to question is No
Hence E
