Gradutate Record Exam

1. A line was drawn through a point on x-axis (a, 0) and a point on y-axis (0, b). A line parallel to x-axis was given. If the distance between (0, b) to this line was k and if the point where this parallel line intersects the earlier line was (x, y), then find the value of x and y?


2. If the median of 7 consecutive even integers is 2n+2, then what is the mean?


3. Given 60% of the sophomores took up liberal arts, 24% took sciences and rest took both or neither. If 55% of all sophomores took psychology, then what percentage of arts students took psychology?


5. If t = {2, 3, 4, 5, 6, 7, 8}, then the number of 4 digited numbers that can be formed without repetition is?


6. If 0.6 < x < 0.8, then
Col A: x
Col B: (0.73)^2


7. If lxl < lyl, then
A. x + y = 0
B. x + y =! 1
C. x < y
D. x - y = 0
& so on...


8. Given a semicircular path. If Joe travelled through curved area in 2 min and Jack travelled through straight line in 1 min, then
Col A: Average Speed of Joe
Col B: Average Speed of Jack


9. Col A: x
Col B: x^3


10. Given 3 + 33 + 333 + 3333 +...........up to 10 terms. After the summation, what is the value in hundredth digit?


11. If the retail price is 35% more than wholesale price and if the retailer sells it with a profit of 21% with that of wholesale price, then what percentage of discount did he offer to the customer?
(Something like this)