If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed  Choose the correct choice from the following answers.
A) 1) A and E
B) 2) A and D
C) 3) A,C,D
D) 4) All of them
E) 5) None of them
Here answer will be (A).   There are 10 equidistant numbers on the number line.   Mean and median will be the average of middle two numbers.   If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Only options that remove a digit or digits from one side of the middle two numbers will result in change of mean and median.
<result>A</result>
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed