Five cards are to be selected at random from 1 to 10 cards numbered 1 to 10. How many ways are possible that the average of five numbers selected will be greater than the median ?

What is the median number of employees assigned per project for the projects at Company Z?

(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

If ((t^2)-1)/(t-1)=2, then what value(s) may t have?

A) 1 only
B) -1 only
C) 1 or -1
D) no values
E) an infimite number of values

For every positive integer ‘n’ the h(n) is defined to be product of all even integer from 2 to n inclusive. If ‘P’ is the smallest prime factor of h(100)+1, then P is between ?

a) 3 and 10

b) 10 and 20

c) 20 and 30

d) 30 and 40

e) 40 and above.

A certain junior class has 1000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?

a) 3/40,000
b) 3/20,000
c) 1/32
d) 1/20,000
e) None of these
Please post the explanations if you know.

The curved surface area of a cylinder is 24/7 times the total flat surface area(top +bottom).If the biggest possible cone is cut out from the cylinder, what is the ratio of the curved surface area of the cone to its flat surface area?

A) 24/7
B) 25/7
C) 27/7
D) 29/7
E) 30/7

A valid argument is often defined as one in which it is not possible for all the premises to be true and the conclusion false. A circular argument is sometimes defined as one in which one of the premises is identical to the conclusion. From these definitions we can infer that…

A. Every circular argument is valid as long as its premises are true.
B. Every valid argument is circular.
C. No circular argument is valid.
D. Some circular arguments are valid, and some are not.
E. Some circular arguments are not valid, and some valid arguments are not circular.

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A certain river has current of 3 miles per hour. A boat takes twice as long to travel upstream between two points as it does to travel downstream between the same two points. What is the speed of the boat in still water ?

A) 3 miles per hours
B) 6 miles per hours
C) 9 miles per hours
D) 12 miles per hours
E) The speed cannot be determined from the given ingformation

A group of 8 friends want to play doubles tennis. How many different ways can the group be divided into 4 teams of 2 people?

A. 420
B. 2520
C. 168
D. 90
E. 105