Sub 505 (Easy)
What is the number of female employees in Company X ?
(1) If Company X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would then be 16 to 9.
(2) Company X has 105 more male employees than female employees.
555-605 (Medium)
Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?
(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.
(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.
Sub 505 (Easy)
A jar contains 30 marbles, of which 20 are red and 10 are blue. If 9 of the marbles are removed, how many of the marbles left in the jar are red?
(1) Of the marbles removed, the ratio of the number of red ones to the number of blue ones is 2:1.
(2) Of the first 6 marbles removed, 4 are red.
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 â 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) Miekoâs average speed for the trip was 3/4 of Chanâs 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 â x an integer?
(1) 4 x â â â 4 x is an integer.
(2) 3 x â â â 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 â n ) n ( 100 â n ) n an integer?
(1) n > 4 n > 4
(2) n 2 = 25 n 2 = 25