Dear All,

I will post interesting complex data sufficiency problems. The level of the questions is 670-700+.

1. What is the median of a group of numbers?
(1) At least half of the numbers less than or equal to 15.
(2) At least half of the numbers greater than or equal to 15.

2. 19. The median of Set S and T are 12 and 18, respectively, then S and T are combined, is the median of new set greater than the greatest number in Set S?
(1) The range of Set S is 6.
(2) The range of Set T is 6.

3. Is m > n?
(1) 0 < 2m + n < 10.
(2) -10 < m - 2n < 0.

4. If axby = 200, where a, b, x, y are positive integers, what is the value of x + y?
(1) x > y.
(2) xy = 6.

5. In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangle region RCS?
(1) The area of triangular region AÐ’Ð¥ is 32.
(2) The length of one of the altitudes of triangle ABC is 8.

6. Is the median of the numbers in set S less than the average of the numbers in the set?
(1) The median is of the sum of all of the numbers in set S.
(2) There are 9 numbers in set S.

7. Is the sum of seven different positive integers greater than 99?
(1) The largest number is 18.
(2) The range of the seven numbers is 10.

Wish you good luck with the above The answers and explanations will be given later