When the integer X is divided by 5, the remainder is 2. Which of the following can be a multiple of (X+3)?
Answer(s): B
Plug in a number that will give a remainder of 2 when divided by 5, for example 7. We are looking for a number that is a factor of 10.The only possible answer is B □ 9 x 7 – 3 = 60, and that is a factor of 10.
Harris invested $45,000 in two different ventures, a car-cleaning machine and a video mat. The yearly return on the video mat was 12% and the yearly return on the car-cleaning machine was 8%. If the total return was $4,000, how much did Harris invest in the video mat?
The easiest way is to back solve the question.Take answer B, if that is the amount Harris invested in the video mat; the annual return was $1,200. Therefore there are $35,000 left to invest in the car-cleaning machine, 8% of 35,000 is $2,800.Sum them up; the total return is like the question asked- $4,000.
Jennifer bought two apartments in order to rent them to other people with $300,000. The monthly return on the first apartment is 1.5% of its value and on the second apartment the return is 2% of its value. If the total returns of the entire year were $61,200, how much did Jennifer spent on the second apartment?
The easiest way is to back solve the question.Take answer B, if that is the amount Jennifer invested in the second apartment; the annual return from that apartment was (120,000 x 0.24 = 28,800). Therefore, there are $180,000 left to invest in the first apartment, 18% of $180,000 is $32,400.Sum them up; the total return is like the question asked- $61,200.
Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?
Answer(s): C
Car B is traveling at a speed of 0.85 x 120 = 102 Km/h.Car A travels alone a distance of 120 x 1.5 = 180 Km. The remaining distance should be divided among the sum of the cars speeds: (668.4 – 180 = 488.4 Km) / (102 + 120) = 2.2 = Two hours and 12 minutes.
Water has been poured into an empty rectangular tank at the rate of 8 cubic feet per minute for 2.5 minutes. The length of the tank is 3 feet and the width is one half of the length. Approximately how deep is the water in the tank?
Answer(s): E
First calculate the volume of water that has been poured into the tank. If it has been poured at a rate of 8 cubic feet per minute for 2.5 minutes, 8 × 2.5 = 20 cubic feet. The tank is rectangular, so its volume is length × width × height (or depth), with the answer in cubic units. We are given the length, and can calculate the width, since we are told that the width is 1/2 the length, or 1/2 of 3 feet, or 1.5 feet. The volume we have already calculated to be 20 cubic feet. Therefore, 20 = length × width × height, or 20 = 3 feet × 1.5 feet × the height. Solving for the height, we get 40/9 , or approximately 4.44 feet.
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