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Which of the following is the smallest?
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A car painting shop had a cubic painting chamber of 1000 cubic meters in volume. When a new and bigger car model was introduced, a parallelepiped section was added to a side of the painting chamber, which added fifty percent more volume to the original volume of the chamber. What are the dimensions in meters of the section added?
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Mary, Jane, and Lucy are typing a manuscript and are capable of completing the whole manuscript in $${2}\frac{1}{2}$$ hours if they work together. If Mary alone can type the same manuscript in 10 hours, and Jane is capable of typing the complete manuscript in 6 hours, in how many hours can Lucy type the whole manuscript?
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If a + b = 24 and a = 3b, then $$\sqrt{a}+\frac{a}{b}=$$
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Three types of aircraft fly three different routes which lengths are related as 1:3:5. The ratio of the amount of fuel burnt over these routes in the same respective order is 5:3:1. What are the ratios of their respective fuel consumption in units of distance per one unit of fuel burnt?
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A repair shop can repair 3 fewer bicycles of Model 1 than three times the number of bicycles of Model 2. If one bicycle of Model 1 is replaced by two bicycles of Model 2, then the number of bicycles of each model repaired during the day is the same. What is the total number of bicycles that the shop can repair?
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The sum, s, of consecutive integers from 1 to n is given by the formula $${s}={n}\frac{(n+1)}{2}$$. What is the value of the sum if it is three times as large as the number of integers summed?
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What is the charge per hour of the $${1}_{st}$$ year associate at a law firm?1. The $${3}_{rd}$$ year associate charges $300 per hour.2. The $${2}_{nd}$$ year associate charges $${1}\cdot\frac{1}{2}$$ times more than the $${1}_{st}$$ year associate, and the $${3}_{rd}$$ year associate charges two times more than the $${2}_{nd}$$ year.
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Is u > v?1.$${0}<{u}<\frac{5}{6}$$2.$$\frac{2}{3}<{v}<{1.0}$$
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The capacity of the river tanker R is 50 percent greater than the capacity of the sea-going tanker S. How many more gallons of oil are currently in tanker R than intanker S?1. Tanker R is 90 percent full; tanker S is 40 percent full.2. When full, tanker R contains 40,000 gallons of oil.
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Is q a negative number?1.-4q is a negative number.2.-q is a negative number.
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Is 20 the average (arithmetic mean) of u,v,w, and 20?1. u + v + w = 602. u - v + w = 20,u + v - w=16
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Car P and car Q competed in the same 300-kilometer race. What was the average speed of car P?1. Car P completed the race in 3 hours and 40 minutes.2. Car Q, at an average speed of 100 kilometers per hour, completed the race 40 minutes before car P crossed the finish line.
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At the time of admission, 35 percent of all doctorate students at a particular business school have a Ph.D. in a non-business related field. Meantime, 45 newly admitted students have a master's degree as their highest degree. Exactly how many Ph.D. students are there at this business school based on the following statistics at the time of admission for the entire program?1. 35 have a doctorate degree completed in a non-business related field.2. 45 percent have a master's degree as their highest degree.
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For each day at sea a sailor is paid a fixed sum. For each day ahead of the scheduled arrival time, he gets twice the regular daily earnings. If the total time at sea was scheduled for 20 days and a sailor earned a total of 3,850 dollars for the entire trip, how many days ahead of schedule did the ship arrive?1. If the ship had arrived one day ahead of the schedule, the sailor would have earned 4,200 dollars.2. The sailor's regular daily earnings were $175.
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What is the area of △ABC?1. The measures of three angles are related as 1:2:3.2. The triangle's longest side is 10.
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Are there exactly 4 distinct keys that are working on the old typewriter?1. An old typewriter is defective in such a way that its blank key is not functioning, and the typewriter allows only 4 letters per word by forcing a space character to be inserted after each four-letter word. A monkey sitting at the typewriter is aware of this peculiarity and presses only distinct keys for each four-letter sequence. Some keys of this typewriter are not functioning.2. A monkey is able to create only 24 distinct four-letter words.
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If z is an integer, is $$\frac{z}{3}$$ an odd integer?1. z is a multiple of 3.2. z is a multiple of 9.a
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Q is a set of integers and 11 is in Q. Let Q denote any element in the Q set. Is every positive multiple of 11 in Q?1. Q+ 11 is in Q.2. Q- 11 is in Q.
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Does q have a distinct value?1. $$({2}{q}-{3})^{2}={q}^{2}$$2. $$\sqrt{l2-q}={3}$$
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