If R is between (-2) and (2), which of the following can be the greatest?
Answer(s): A
If we can choose any number between (-2) and (2), choose a really small number, for example (1/100) plug it in answer (a), (1/1/100) = 100 □ none of the other answers can be larger.
If all values of X such as (0 < X < 1), which can be the least?
Answer(s): E
Since X is a fraction between 0 and 1, the smallest answer will be that of the highest power, since all the answers are positive. Therefore E. is the smallest possible.Pay attention to answer (d), it’s the same as (c); it’s a fraction between 0 and 1 squared.
A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?
Answer(s): B
In the first hour it traveled 86 miles.In the second hour it traveled x miles, x + 0.25x = 86 x= 68.8 miles. In the third hour it traveled (120 x 1/3 = 40) miles.The total distance is (86 + 68.6 + 40 = 194.8) miles.
A cruise ship traveled for 3 hours. In the first hour, the ship sailed at a speed of 25 Km/h, which was 25% faster than the speed in the third hour. In the middle hour the ship sailed at the average speed of the first and third hours. What was the total instance of the ship during the 3 hours of sailing?
Answer(s): C
The distance in the first hour is 25 Km.The speed in the third hour is (25/1.25 = 20 Km/h) and therefore the distance is 20 Km. The average speed is 22.2 Km/h and that is also the distance.The total distance is 25 + 20 + 22.5 = 67.5 Km.
Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?
Answer(s): D
The speed of the second car is X, (X + 0.28X = 120) X = 93.75 Km/h.In order to find the time it will take the cars to meet, you should divide the total distance by the sum of the car's speeds: (855 / (120+93.75) = 4). Therefore the answer is D, four hours.
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