655-705 (Hard)
Is 1/(a - b) > b - a ?
(1) a < b
(2) 1 < |a - b|
Sub 505 (Easy)
In triangle XYZ, whatis the length of YZ?
(1) The length of XY is 3.
(2) The length of XZ is 5.
Sub 505 (Easy)
Is p^2 an odd integer?
(1) p is an odd integer.
(2) p √ p is an odd integer.
505-555 (Easy)
An empty rectangular swimming pool has uniform depth. How long will it take to fill the pool with water?
(1) Water will be pumped in at the rate of 240 gallons per hour (1 cubic foot = 7.5 gallons)
(2) The pool is 60 feet long and 25 feet wide
505-555 (Easy)
Is the value of n closer to 50 than to 75 ?
(1) 75- n>n-50
(2) n> 60
505-555 (Easy)
Chan and Mieko drove separate cars along the entire length of a certain route. If Chan made the trip in 15 minutes, how many minutes did it take Mieko to make the same trip?
(1) Mieko’s average speed for the trip was 3/4 of Chan’s average speed.
(2) The route is 14 miles long.
Sub 505 (Easy)
If n is an integer, is n/7 an integer?
(1) 3n/7 is an integer.
(2) 5n/7 is an integer
505-555 (Easy)
If x is a positive integer, is x √ x an integer?
(1) 4 x − − √ 4 x is an integer.
(2) 3 x − − √ 3 x is not an integer.
605-655 (Medium)
If x and y are nonzero integers, is x^y < y^x ?
(1) x = y^2
(2) y > 2
Sub 505 (Easy)
What is the Average (mean) of x, y, and z?
(1) X + Y = 5
(2) Y + Z =7
655-705 (Hard)
If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10?
(1) On the number line, z is closer to 10 than it is to x.
(2) z = 5x
555-605 (Medium)
Is x m * ( m 2 + n 2 + k 2 ) = x m + y n + z k x m * ( m 2 + n 2 + k 2 ) = x m + y n + z k ?
(1) z k = x m z k = x m
(2) x m = y n x m = y n
505-555 (Easy)
What is the average (arithmetic mean) of a, b, and c ?
(1) a + 2b + 3c = 10
(2) 3a + 2b + c = 14
505-555 (Easy)
If x is a positive integer and w is a negative integer, what is the value of xw?
(1) x^w = 1/2
(2) w = -1
Sub 505 (Easy)
If 2 x ( 5 n ) = t 2 x ( 5 n ) = t , what is the value of t?
(1) x = n + 3 x = n + 3
(2) 2 x = 32 2 x = 32
Sub 505 (Easy)
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.
Sub 505 (Easy)
If n is an integer, is ( 100 − n ) n ( 100 − n ) n an integer?
(1) n > 4 n > 4
(2) n 2 = 25 n 2 = 25
Sub 505 (Easy)
If Jill's average score for three games of bowling was 168, what was her lowest score?
(1) Jill's highest score was 204
(2) The sum of Jill's two highest scores was 364
Sub 505 (Easy)
How many books does Ricardo have?
(1) If Ricardo had 15 fewer books, he would have only half as many as he actually has.
(2) Ricardo has twice as many fiction books as nonfiction books.