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Ready4	A machine makes widgets and gizmos. If it takes 6 minutes to make each widget and 10 minutes to make each gizmo, what is the total number of minutes it takes to make a batch of widgets and gizmos? (1) A batch has 50 more widgets than gizmos. (2) The ratio of the number of widgets to the number of gizmos in a batch is 3 to 1.
Ready4	How many different prime numbers are factors of the positive integer $k$ ? (1) Three different prime numbers are factors of $5k$ . (2) Three different prime numbers are factors of $k^2$ .
Ready4	If $xy \neq 0$ , is $\frac{1}{x}+\frac{1}{y}=10$ ? (1) $x+y=10xy$ (2) $x=y$
Ready4	If $ab \neq 0$ , is $\frac{1}{a}- \frac{1}{b}=10$ ? (1) $b=2a$ (2) $b-a=10ab$
Ready4	On a certain date, Sashi invested $1,000 at $x$ percent simple annual interest and a different amount at $y$ percent simple annual interest. What amount did Sashi invest at $y$ percent simple annual interest? (1) Sashi invested $1,000 at 2 percent simple annual interest and the other amount at 3 percent simple interest. (2) The total amount of interest earned by Sashi's two investments in one year was $100.
Ready4	A tortoise moves at a constant speed of 15 feet per minute. If the tortoise moves across a field, is the distance that the tortoise moves less than 0.1 mile? (1 mile = 5,280 feet) (1) It takes the tortoise less than 0.6 hour to move across the field. (2) It takes the tortoise more than 0.5 hour to move across the field.
Ready4	A pulley is used to move boxes at a constant speed of 150 centimeters per second. If the pulley moves a box from the floor to the top shelf in a warehouse, is that distance more than 25 meters? (1 meter = 100 centimeters) (1) It takes the pulley less than 0.4 minutes to move the box from the floor to the top shelf. (2) It takes the pulley more than 0.3 minutes to move the box from the floor to the top shelf.
Ready4	In the triangle above, does $a^2+b^2=c^2$ ? (1) $a=b$ (2) $x+y=88$
Ready4	In the triangle above, does $a^{2}+b^{2}=c^{2}$ ? (1) $a=b$ (2) $x=47$
Ready4	If the set $M$ consists of five consecutive positive integers, what is the sum of these five integers? (1) The integer 10 is in $M$ , but 9 is not in $M$ . (2) The sum of the odd integers in $M$ is 24.
Ready4	What is the volume of the cube above? (1) The length of diagonal $MN$ is $4\sqrt{3}$ . (2) The surface area of the cube is 96 square inches.
Ready4	What is the volume of the cube above? (1) The surface area of the cube is 1014 square centimeters. (2) The length of diagonal $\overline{VW}$ is $13\sqrt{3}$ centimeters.
Ready4	If 50 percent of people surveyed have at least one brother, what percent have at least one sister? (1) 40 percent of people surveyed who have at least one brother also have at least one sister. (2) 15 percent of people surveyed have no brother or sister.
Ready4	If the set $T$ consists of six consecutive positive integers, then what is the sum of these six integers? (1) The sum of the even integers is 42. (2) The integer 17 is in $T$ , but 18 is not in $T$ .
Ready4	A building has $48$ one- and two-bedroom apartments to rent, some with balconies and others without. If one of these apartments is to be selected at random, is the probability greater than $\frac{1}{2}$ that the apartment has two bedrooms and a balcony? (1) Of the apartments, $40$ have two bedrooms. (2) Of the apartments, $30$ have a balcony.
Ready4	A couple decides to have four children. If they succeed in having four children and each child is equally likely to be a boy or a girl, what is the probability that they will have at least two girls?
Ready4	On a certain day, a movie theater is playing all 3 parts of a trilogy. Part 1 plays every hour, beginning at 10:00 a.m., and lasts $2\frac{1}{4}$ hours. Part 2 plays every $1\frac{1}{2}$ hours, beginning at 10:00 a.m., and lasts 2 hours. Part 3 plays every $1\frac{1}{2}$ hours beginning at 12:15 p.m. What is the least total amount of time a person planning to watch all 3 parts of the trilogy in order must spend waiting between movies if all movies keep to their schedules?
Ready4	A passenger is planning a trip that involves three connecting trains that leave from Stations A, B, and C, respectively. The first train leaves Station A every hour, beginning at 6:30 a.m., and arrives at Station B $1\frac{1}{2}$ hours later. The second train leaves Station B every hour, beginning at 7:30 a.m., and arrives at Station C $2\frac{3}{4}$ hours later. The third train leaves Station C every 30 minutes, beginning at 9:00 a.m. What is the least total amount of time the passenger must spend waiting between trains if all trains keep to their schedules?
Ready4	At a seminar, Workshops A, B, and C take place throughout the day. Workshop A takes place every hour, beginning at 8:00 a.m., and lasts $\frac{3}{4}$ hour. Workshop B takes place every $\frac{1}{2}$ hour, beginning at 8:30 a.m., and lasts 1 hour. Workshop C takes place every hour, beginning at 8:45 a.m., and lasts $1\frac{1}{2}$ hours. What is the least total amount of time a person planning to attend all 3 workshops, in order, must spend waiting between workshops if all workshops keep to their schedules?
Ready4	If $a$ , $b$ , and $c$ are positive integers such that $a$ is a factor of $b$ , and $a$ is a multiple of $c$ , which of the following is NOT necessarily an integer?