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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 ?

(1)

(2)

Ready4

In the triangle above, does ?

(1)

(2)

Ready4

If the set consists of five consecutive positive integers, what is the sum of these five integers?

(1) The integer 10 is in , but 9 is not in .

(2) The sum of the odd integers in 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 is 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 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 , but 18 is not in .

Ready4

A building has 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 that the apartment has two bedrooms and a balcony?

(1) Of the apartments, have two bedrooms.

(2) Of the apartments, 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  hours. Part 2 plays every hours, beginning at 10:00 a.m., and lasts 2 hours. Part 3 plays every 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 hours later. The second train leaves Station B every hour, beginning at 7:30 a.m., and arrives at Station C 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 hour. Workshop B takes place every 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 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 , , and are positive integers such that is a factor of , and is a multiple of , which of the following is NOT necessarily an integer?

Ready4

If  and  are positive integers such that  is a multiple of , and is a factor of , which of the following is NOT necessarily an integer?

Ready4

If are positive integers such that is a divisor of , and is a multiple of , which of the following is NOT necessarily an integer?

Ready4

If n is a positive integer and n^2 is divisible by 98, then the largest positive integer that must divide n is

Ready4

Kassi works hours a day for days and earns dollars per hour. If she puts percent of her earnings into savings, which of the following represents Kassi's earnings after savings?

Ready4

The function is defined for each positive three-digit integer by where and are the hundreds, tens, and units digits of respectively. If and are three-digit positive integers such that , then what is the value of ?

Ready4

If , which of the following must be true?

  I.

 II. is negative.

III.

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