Kaushik786 wrote:
The mode of a set of integers is 8. Find the difference between the median of the set and 8
1. The difference between any two consecutive integers of the set is 5
2. The mean of the set of integers is 8
sthahviNow mode is 8. This means 8 comes more frequently as compared to any other number.
1. The difference between any two consecutive integers of the set is 5.
So series can be x, x+5, x+10, x+15...... or x, x+5, x, x+5.
In both cases the difference in consecutive terms is 5, but I am yet to see any actual GMAT question using this trap.
The sequence cannot be x, x+5, x+10.....: we cannot have same term coming twice in this sequence.
So the sequence must be x, x+5, x,.....:
That is the sequence can be 8, 3, 8 : Median is 8, and difference is 0
But sequence can also be 8,3,8,3,8: Here, median is 8, and difference is 8-8=0
Or it can be 3,8,13,8,3,8,13. Again median will be 8
Sufficient
2. The mean of the set of integers is 8
The set can be 0,1,2,3,8,8,50.....mean=mode=8, but median is 3. Difference is 8-3=5
The set can be 6,7,8,8,9,10.....mean=mode=median=8. Difference =0
Had we known that the sequence is AP, median would have been 8Insufficient
A
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