DIRECTIONS: PROVIDE THE SOLUTION TO CHOOSE THE CORRECT ANSWER. 1. A 12 ton mixture contains one-sixth sand, two-sixth gravel and one-half cement. If xtons of cement is added, the mixture will contain 60% cement. How many tons of cement is added? a. 2.8 b. 3 c. 3.8 d. 4 2. The cost 0 (S) of printing a magazine is directly proportional to the product of the number of pages p in the magazine and the number of magazines printed m. How much would the printing cost be for 5000 copies of a 92-page magazine if the printing cost for 4000 copies of a 120-page magazine is $60,000? A.$57,500 8.397.200 0.385.300 D. $95,760 3. The power P of a jet of water fired from a fire truck hose is directly proportional to the product cross- sectional area A and the cube of the velocity v. If the velocity is doubled and the cross-sectional area is halved, by what factor will the power increase? A.4 times 8.3 times 0.2 times D. once 4. The population of the country increases 5% each year. Find the percentage it will increase in three years. A. 15.76% B. 16.78% 0. 17.48% D. NOTG 5. A father is three times as old as his son. Four years ago, he was four times as old as his son was at that time. How old is his son? AB 8.10 0.12 D14 6. On one job, two power shovels excavate 20000 m3 of earth, the larger the shovel working for 40 hours and the smaller shovel for 35 hours. Another job, they removed 40000 m3 with the larger shovel working for 70 hours and the smaller working 90 hours. How much earth can the larger shovel move in one hour? A. 347.83 m3 B. 288.34 m3 c. 269.47 m3 D. NOTG 7. Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone? A. 8 hrs B. 10 hrs 0.11 hrs D. 12 hrs 8. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? A. 2 B. 3 0. 4 D. 5 9. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What 7 L is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1: 2? A. 4 B. 6 C. 8 D. 10 10. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 kmfhr and the time of flight increased by 30 minutes. The duration of the flight is: A. 0.5 hr B. 1 hr 0.2.5 hrs D. 3 hrs