If 1/3 < A < 2, which of the following expressions can have the largest value?
Answer(s): E
Try the answers for the largest and smallest values A can get.Take A = 1.9, answer E will be the largest and so this is the expression that can be the largest among the other expressions.
In an isosceles triangle the sum of the sides is 2 inches longer than the base. What is the ratio between the length of the side and the length of the base?
Try taking the base of the triangle as 1 inch. Both of the sides are 3 inches. And the portion required is (1.5 / 1) = 1.5.Try taking different numbers, take 10 inches as the length of the base. The length of both sides is (10 + 2 = 12 inches).The portion required is (6 / 10). We can see that a randomly pick of two numbers will give two different answers and therefore there is no distinct answer.
The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Answer(s): D
The ratio between their speeds is 4:1 and so will be the ratio between the distances that they’ll pass. The first bird will pass a distance of 12 Km and the second bird will pass only 3Km.The meeting point will be 12 Km from West-Town.
A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Answer(s): B
Average speed can be found by dividing the total distance by the total time. If the journey back took twice as long then the car traveled at half the speed, thus 24-mph. Take the time the car traveled from San Diego to San Francisco as T, and the time it took to get back as 2T. The total distance is 48T+24*2T= 96T, now divide it by the total time, 3T to get 32 mph.
If “Alfa” is defined as 2 percent of 5 degrees, how many “Alfa’s” are there in two circles?
“Alfa” is defined as (0.02 x 5 degrees = 0.1 degrees).In a circle there are 360 degrees, in two circles there are 720. (720 degrees / 0.1 = 7200 “Alfa’s”) in two complete circles.
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