[ AFPSAT 20 ] Armed Forces of the Philippines Service Aptitude Test Reviewer XX

Armed Forces of the Philippines Service Aptitude Test Reviewer - Mathematics

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided. There are 20 questions in total.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to use 9 cups of flour, how many cups of sugar will you need?

A) 4 cups
B) 6 cups
C) 7 cups
D) 8 cups

2. The ratio of students to teachers in a school is 25:1. If there are 300 students, how many teachers are there?

A) 10
B) 12
C) 15
D) 18

3. A car travels 120 kilometers using 8 liters of fuel. How many kilometers can it travel with 20 liters of fuel?

A) 300 km
B) 320 km
C) 400 km
D) 480 km

4. The ratio of boys to girls in a class is 5:7. If there are 35 boys, how many girls are there?

A) 40
B) 45
C) 49
D) 55

5. The dimensions of a rectangular garden are in the ratio 4:3. If the perimeter of the garden is 56 meters, what is the length of the longer side?

A) 12 meters
B) 16 meters
C) 20 meters
D) 24 meters

6. A mixture contains milk and water in the ratio 7:3. If there are 40 liters of the mixture, how much milk is in it?

A) 24 liters
B) 26 liters
C) 28 liters
D) 30 liters

7. The ratio of the ages of two siblings is 5:3. If the sum of their ages is 64, what is the age of the older sibling?

A) 40
B) 36
C) 32
D) 28

8. A machine can produce 45 widgets in 3 hours. At the same rate, how many widgets can it produce in 8 hours?

A) 120
B) 125
C) 130
D) 135

9. The ratio of the weights of two parcels is 3:5. If the heavier parcel weighs 25 kg, what is the weight of the lighter parcel?

A) 10 kg
B) 15 kg
C) 18 kg
D) 20 kg

10. A company divides its profits among three departments in the ratio 5:3:2. If the total profit is ₱1,000,000, how much does the department with the largest share receive?

A) ₱500,000
B) ₱300,000
C) ₱200,000
D) ₱250,000

11. Two numbers are in the ratio 7:9. If their sum is 128, what is the larger number?

A) 54
B) 72
C) 64
D) 74

12. A school has a student-teacher ratio of 20:1. If there are 45 teachers, how many students are there?

A) 800
B) 900
C) 950
D) 1,000

13. A mixture of oil and vinegar is in the ratio 4:1. If the total mixture is 25 liters, how much oil is in the mixture?

A) 18 liters
B) 20 liters
C) 22 liters
D) 24 liters

14. A sum of money is divided among three people in the ratio 2:3:5. If the largest share is ₱50,000, what is the total sum of money?

A) ₱80,000
B) ₱100,000
C) ₱120,000
D) ₱140,000

15. The cost of gold is directly proportional to its weight. If 12 grams of gold cost ₱36,000, how much will 20 grams of gold cost?

A) ₱55,000
B) ₱60,000
C) ₱66,000
D) ₱72,000

16. A train travels 300 kilometers in 4 hours. How far will it travel in 6 hours at the same speed?

A) 400 km
B) 450 km
C) 500 km
D) 550 km

17. The ratio of the heights of two towers is 7:5. If the shorter tower is 50 meters tall, how tall is the taller tower?

A) 60 meters
B) 70 meters
C) 80 meters
D) 90 meters

18. A batch of concrete is made using cement, sand, and gravel in the ratio 1:2:4. If 56 kg of gravel is used, how much cement is required?

A) 10 kg
B) 14 kg
C) 16 kg
D) 18 kg

19. A map uses a scale of 1:500,000. If two cities are 8 cm apart on the map, what is the actual distance between the cities?

A) 30 km
B) 35 km
C) 40 km
D) 50 km

20. A business invests ₱240,000 in three projects in the ratio 5:3:2. How much is invested in the smallest project?

A) ₱48,000
B) ₱60,000
C) ₱72,000
D) ₱80,000

21. The lengths of two ropes are in the ratio 5:8. If the shorter rope is 25 meters long, how long is the longer rope?

A) 30 meters
B) 40 meters
C) 50 meters
D) 60 meters

22. A container holds a mixture of alcohol and water in the ratio 3:2. If there are 45 liters of alcohol, what is the total volume of the mixture?

A) 60 liters
B) 75 liters
C) 90 liters
D) 100 liters

23. A ladder leans against a wall, forming a right triangle with the ground. The ratio of the lengths of the wall, ladder, and ground is 3:5:4. If the ladder is 20 meters long, what is the height of the wall?

A) 12 meters
B) 15 meters
C) 16 meters
D) 18 meters

24. The ratio of the prices of two items is 7:4. If the cheaper item costs ₱1,200, what is the price of the more expensive item?

A) ₱1,800
B) ₱2,100
C) ₱2,400
D) ₱2,800

25. A field is divided into two parts in the ratio 3:2. If the total area of the field is 100 hectares, what is the area of the larger part?

A) 50 hectares
B) 60 hectares
C) 65 hectares
D) 70 hectares

26. A pair of dice is rolled, and the ratio of possible outcomes where the sum is 7 to the total number of outcomes is what?

A) 1:10
B) 1:6
C) 1:4
D) 1:3

27. A tank is filled with fuel in the ratio 5:3 for diesel and petrol. If there are 24 liters of petrol, how much diesel is there?

A) 30 liters
B) 36 liters
C) 40 liters
D) 48 liters

28. The ratio of the lengths of two rectangles is 3:4, and their areas are in the ratio 9:16. If the smaller rectangle's area is 81 cm², what is the area of the larger rectangle?

A) 120 cm²
B) 144 cm²
C) 160 cm²
D) 180 cm²

29. In a park, the ratio of oak trees to pine trees is 5:8. If there are 200 pine trees, how many oak trees are there?

A) 100
B) 125
C) 150
D) 175

30. The cost of printing a book is shared by the publisher and the author in the ratio 3:2. If the author’s share is ₱18,000, what is the total cost of printing the book?

A) ₱50,000
B) ₱60,000
C) ₱65,000
D) ₱70,000

Result

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