Ratio and Proportion — Civil Service Exam Practice Questions

200 free civil service exam reviewer questions on Ratio and Proportion (Numerical Ability), each with the correct answer and a worked solution.

15 carpenters can finish a job in 30 days. How many MORE carpenters are needed to finish it in 9 days?
A box has red and blue balls in the ratio 7 : 4. After 2 red balls are removed, the ratio becomes 17 : 10. How many blue balls are in the…
A gear with 28 teeth rotating at 160 rpm drives a gear with 35 teeth. How fast does the second gear rotate?
Mila and Rina share some money in the ratio 8 : 1. Mila receives ₱5,250 more than Rina. How much money was shared?
Alloy X contains gold and copper in the ratio 1 : 2; alloy Y contains them in the ratio 1 : 3. If equal weights of X and Y are melted…
The ratio of the number of pupils to teachers in a school is 80 : 1. If there are 24 teachers, how many pupils must be added so that the…
8 workers can complete a job in 17 days. After working for 2 days, 3 workers leave. How many more days will the remaining workers need to…
₱15,750 is shared among A, B and C such that A : B = 1 : 4 and B : C = 1 : 5. How much does C receive?
Two similar boxes have corresponding sides in the ratio 5 : 7. What is the ratio of their volumes?
Alloy X contains gold and copper in the ratio 5 : 2; alloy Y contains them in the ratio 3 : 2. If equal weights of X and Y are melted…
The present ages of a father and his son are in the ratio 5 : 4. 8 years ago, the ratio was 27 : 20. What is the son's present age?
Two numbers are in the ratio 3 : 4. If 6 is added to each, the ratio becomes 18 : 23. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 90 : 1. If there are 64 teachers, how many pupils must be added so that the…
A box has red and blue balls in the ratio 3 : 7. After 10 red balls are removed, the ratio becomes 1 : 4. How many blue balls are in the…
Two similar rectangles have corresponding sides in the ratio 4 : 7. What is the ratio of their areas?
A gear with 58 teeth rotating at 200 rpm drives a gear with 50 teeth. How fast does the second gear rotate?
Liza and Mila share some money in the ratio 4 : 1. Liza receives ₱9,600 more than Mila. How much money was shared?
The ratio of the number of pupils to teachers in a school is 50 : 1. If there are 48 teachers, how many pupils must be added so that the…
7 workers can complete a job in 28 days. After working for 18 days, 5 workers leave. How many more days will the remaining workers need to…
6 carpenters can finish a job in 28 days. How many MORE carpenters are needed to finish it in 12 days?
₱44,770 is shared among A, B and C such that A : B = 5 : 2 and B : C = 5 : 1. How much does C receive?
A box has red and blue balls in the ratio 5 : 7. After 11 red balls are removed, the ratio becomes 29 : 56. How many blue balls are in the…
Ana and Tess share some money in the ratio 7 : 4. Ana receives ₱7,020 more than Tess. How much money was shared?
9 workers working 8 hours a day can finish a project in 10 days. How many days will 4 workers working 6 hours a day need to finish the…
The ratio of the number of pupils to teachers in a school is 70 : 1. If there are 32 teachers, how many pupils must be added so that the…
₱10,670 is shared among A, B and C such that A : B = 1 : 2 and B : C = 4 : 5. How much does C receive?
A gear with 70 teeth rotating at 300 rpm drives a gear with 35 teeth. How fast does the second gear rotate?
Alloy X contains gold and copper in the ratio 1 : 4; alloy Y contains them in the ratio 1 : 5. If equal weights of X and Y are melted…
The ratio of the number of pupils to teachers in a school is 90 : 1. If there are 16 teachers, how many pupils must be added so that the…
12 workers can complete a job in 24 days. After working for 18 days, 3 workers leave. How many more days will the remaining workers need…
15 carpenters can finish a job in 17 days. How many MORE carpenters are needed to finish it in 5 days?
A box has red and blue balls in the ratio 5 : 6. After 12 red balls are removed, the ratio becomes 1 : 2. How many blue balls are in the…
The present ages of a father and his son are in the ratio 7 : 5. 3 years ago, the ratio was 27 : 19. What is the son's present age?
Two numbers are in the ratio 5 : 8. If 20 is added to each, the ratio becomes 19 : 28. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 50 : 1. If there are 21 teachers, how many pupils must be added so that the…
A box has red and blue balls in the ratio 4 : 5. After 3 red balls are removed, the ratio becomes 13 : 20. How many blue balls are in the…
Oscar invested ₱40,000 for 6 months and Vic invested ₱160,000 for 4 months in a small business. If the profit is ₱22,000, how much is…
The present ages of a father and his son are in the ratio 3 : 2. 2 years ago, the ratio was 19 : 12. What is the son's present age?
The ratio of the number of pupils to teachers in a school is 70 : 1. If there are 40 teachers, how many pupils must be added so that the…
₱14,300 is shared among A, B and C such that A : B = 3 : 5 and B : C = 5 : 3. How much does C receive?
A box has red and blue balls in the ratio 3 : 7. After 5 red balls are removed, the ratio becomes 19 : 56. How many blue balls are in the…
Two similar rectangles have corresponding sides in the ratio 2 : 7. What is the ratio of their areas?
Alloy X contains gold and copper in the ratio 3 : 4; alloy Y contains them in the ratio 5 : 1. If equal weights of X and Y are melted…
The present ages of a father and his son are in the ratio 7 : 4. 5 years ago, the ratio was 44 : 23. What is the son's present age?
The ratio of the number of pupils to teachers in a school is 30 : 1. If there are 40 teachers, how many pupils must be added so that the…
₱20,670 is shared among A, B and C such that A : B = 1 : 6 and B : C = 5 : 3. How much does C receive?
A box has red and blue balls in the ratio 3 : 7. After 11 red balls are removed, the ratio becomes 1 : 28. How many blue balls are in the…
Two numbers are in the ratio 2 : 3. If 19 is added to each, the ratio becomes 37 : 46. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 70 : 1. If there are 35 teachers, how many pupils must be added so that the…
Alloy X contains gold and copper in the ratio 4 : 3; alloy Y contains them in the ratio 3 : 1. If equal weights of X and Y are melted…
Two numbers are in the ratio 1 : 7. If 10 is added to each, the ratio becomes 1 : 3. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 60 : 1. If there are 32 teachers, how many pupils must be added so that the…
12 workers can complete a job in 20 days. After working for 5 days, 9 workers leave. How many more days will the remaining workers need to…
A box has red and blue balls in the ratio 7 : 3. After 2 red balls are removed, the ratio becomes 47 : 21. How many blue balls are in the…
Alloy X contains gold and copper in the ratio 3 : 2; alloy Y contains them in the ratio 3 : 4. If equal weights of X and Y are melted…
The ratio of the number of pupils to teachers in a school is 30 : 1. If there are 35 teachers, how many pupils must be added so that the…
8 workers can complete a job in 27 days. After working for 22 days, 6 workers leave. How many more days will the remaining workers need to…
₱51,660 is shared among A, B and C such that A : B = 1 : 6 and B : C = 5 : 1. How much does C receive?
Two similar rectangles have corresponding sides in the ratio 3 : 5. What is the ratio of their areas?
Ella and Mila share some money in the ratio 9 : 4. Ella receives ₱21,200 more than Mila. How much money was shared?
The present ages of a father and his son are in the ratio 7 : 4. 9 years ago, the ratio was 40 : 19. What is the son's present age?
Two numbers are in the ratio 1 : 2. If 14 is added to each, the ratio becomes 23 : 32. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 70 : 1. If there are 24 teachers, how many pupils must be added so that the…
₱20,000 is shared among A, B and C such that A : B = 1 : 6 and B : C = 1 : 3. How much does C receive?
Paolo and Pia share some money in the ratio 9 : 5. Paolo receives ₱11,760 more than Pia. How much money was shared?
Two numbers are in the ratio 3 : 4. If 18 is added to each, the ratio becomes 24 : 29. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 90 : 1. If there are 30 teachers, how many pupils must be added so that the…
Alloy X contains gold and copper in the ratio 5 : 3; alloy Y contains them in the ratio 5 : 4. If equal weights of X and Y are melted…
The present ages of a father and his son are in the ratio 2 : 1. 2 years ago, the ratio was 16 : 7. What is the son's present age?
Two numbers are in the ratio 2 : 9. If 16 is added to each, the ratio becomes 34 : 97. What is the larger of the original numbers?
8 workers can complete a job in 27 days. After working for 12 days, 5 workers leave. How many more days will the remaining workers need to…
₱39,360 is shared among A, B and C such that A : B = 2 : 5 and B : C = 1 : 5. How much does C receive?
A box has red and blue balls in the ratio 7 : 4. After 5 red balls are removed, the ratio becomes 37 : 24. How many blue balls are in the…
Two similar rectangles have corresponding sides in the ratio 1 : 7. What is the ratio of their areas?
A gear with 56 teeth rotating at 240 rpm drives a gear with 84 teeth. How fast does the second gear rotate?
The ratio of the number of pupils to teachers in a school is 50 : 1. If there are 14 teachers, how many pupils must be added so that the…
Two similar rectangles have corresponding sides in the ratio 1 : 2. What is the ratio of their areas?
Two numbers are in the ratio 5 : 7. If 9 is added to each, the ratio becomes 4 : 5. What is the larger of the original numbers?
The ratio of the number of pupils to teachers in a school is 30 : 1. If there are 16 teachers, how many pupils must be added so that the…
14 workers can complete a job in 30 days. After working for 25 days, 4 workers leave. How many more days will the remaining workers need…
₱26,750 is shared among A, B and C such that A : B = 4 : 3 and B : C = 1 : 6. How much does C receive?
A box has red and blue balls in the ratio 2 : 7. After 10 red balls are removed, the ratio becomes 3 : 28. How many blue balls are in the…
Two similar rectangles have corresponding sides in the ratio 5 : 6. What is the ratio of their areas?
A gear with 56 teeth rotating at 140 rpm drives a gear with 32 teeth. How fast does the second gear rotate?
Alloy X contains gold and copper in the ratio 4 : 5; alloy Y contains them in the ratio 5 : 1. If equal weights of X and Y are melted…
The ratio of the number of pupils to teachers in a school is 30 : 1. If there are 24 teachers, how many pupils must be added so that the…
₱26,640 is shared among A, B and C such that A : B = 1 : 4 and B : C = 5 : 3. How much does C receive?
Two similar boxes have corresponding sides in the ratio 1 : 5. What is the ratio of their volumes?
Hazel and Nina share some money in the ratio 7 : 4. Hazel receives ₱9,570 more than Nina. How much money was shared?
Alloy X contains gold and copper in the ratio 3 : 1; alloy Y contains them in the ratio 1 : 2. If equal weights of X and Y are melted…
If 6 kilograms of pork cost ₱1,860, how much will 47 kilograms cost?
A recipe for 8 servings uses 6 cup(s) of flour. How many cups are needed for 17 servings?
If A : B = 2 : 4 and B : C = 5 : 2, what is A : B : C?
On a map, 1 cm represents 20 km. Two towns are 13 cm apart on the map. What is the actual distance?
If 13 kilograms of pork cost ₱4,420, how much will 50 kilograms cost?
₱6,800 is shared among Ana, Ben and Carlo in the ratio 4 : 5 : 1. How much does Carlo receive?
Two numbers are in the ratio 4 : 7, and their difference is 39. What is the larger number?
If A : B = 6 : 7 and B : C = 6 : 1, what is A : B : C?
On a map, 1 cm represents 20 km. Two towns are 2 cm apart on the map. What is the actual distance?
If 8 kilograms of pork cost ₱1,840, how much will 31 kilograms cost?
₱6,600 is shared among Ana, Ben and Carlo in the ratio 2 : 3 : 6. How much does Carlo receive?
A recipe for 7 servings uses 6 cup(s) of flour. How many cups are needed for 3 servings?
On a map, 1 cm represents 5 km. Two towns are 14 cm apart on the map. What is the actual distance?
If 8 kilograms of pork cost ₱3,520, how much will 41 kilograms cost?
Two numbers are in the ratio 7 : 5, and their difference is 50. What is the larger number?
A recipe for 8 servings uses 4 cup(s) of flour. How many cups are needed for 3 servings?
If A : B = 2 : 4 and B : C = 3 : 7, what is A : B : C?
On a map, 1 cm represents 50 km. Two towns are 10.5 cm apart on the map. What is the actual distance?
If 15 kilograms of pork cost ₱3,825, how much will 60 kilograms cost?
₱5,440 is shared among Ana, Ben and Carlo in the ratio 4 : 1 : 3. How much does Carlo receive?
A bus traveling at 80 km/h takes 3 hours to complete a trip. How long will the trip take at 40 km/h?
The sum of two numbers is 266, and they are in the ratio 9 : 5. What is the smaller number?
Two numbers are in the ratio 5 : 3, and their difference is 24. What is the larger number?
A recipe for 2 servings uses 3 cup(s) of flour. How many cups are needed for 13 servings?
If A : B = 2 : 6 and B : C = 5 : 7, what is A : B : C?
On a map, 1 cm represents 25 km. Two towns are 9 cm apart on the map. What is the actual distance?
10 workers can finish a job in 15 days. Working at the same rate, how many days will 5 workers take?
If 8 kilograms of pork cost ₱3,600, how much will 16 kilograms cost?
The sum of two numbers is 112, and they are in the ratio 5 : 9. What is the smaller number?
A recipe for 8 servings uses 5 cup(s) of flour. How many cups are needed for 30 servings?
If A : B = 5 : 3 and B : C = 7 : 5, what is A : B : C?
On a map, 1 cm represents 10 km. Two towns are 2 cm apart on the map. What is the actual distance?
12 workers can finish a job in 12 days. Working at the same rate, how many days will 9 workers take?
If 13 kilograms of pork cost ₱4,355, how much will 49 kilograms cost?
The sum of two numbers is 299, and they are in the ratio 4 : 9. What is the smaller number?
If A : B = 1 : 5 and B : C = 4 : 3, what is A : B : C?
On a map, 1 cm represents 5 km. Two towns are 1.5 cm apart on the map. What is the actual distance?
3 workers can finish a job in 10 days. Working at the same rate, how many days will 5 workers take?
If 13 kilograms of pork cost ₱780, how much will 33 kilograms cost?
₱5,580 is shared among Ana, Ben and Carlo in the ratio 6 : 1 : 2. How much does Carlo receive?
A bus traveling at 100 km/h takes 6 hours to complete a trip. How long will the trip take at 150 km/h?
The sum of two numbers is 44, and they are in the ratio 3 : 8. What is the smaller number?
Two numbers are in the ratio 9 : 2, and their difference is 28. What is the larger number?
A recipe for 2 servings uses 5 cup(s) of flour. How many cups are needed for 5 servings?
On a map, 1 cm represents 10 km. Two towns are 10 cm apart on the map. What is the actual distance?
If 5 kilograms of pork cost ₱1,250, how much will 25 kilograms cost?
A recipe for 4 servings uses 2 cup(s) of flour. How many cups are needed for 14 servings?
On a map, 1 cm represents 25 km. Two towns are 10 cm apart on the map. What is the actual distance?
If 15 kilograms of pork cost ₱5,775, how much will 53 kilograms cost?
A recipe for 2 servings uses 4 cup(s) of flour. How many cups are needed for 19 servings?
If A : B = 4 : 5 and B : C = 2 : 3, what is A : B : C?
On a map, 1 cm represents 5 km. Two towns are 6 cm apart on the map. What is the actual distance?
If 11 kilograms of pork cost ₱1,320, how much will 40 kilograms cost?
A recipe for 2 servings uses 6 cup(s) of flour. How many cups are needed for 20 servings?
On a map, 1 cm represents 50 km. Two towns are 6 cm apart on the map. What is the actual distance?
12 workers can finish a job in 25 days. Working at the same rate, how many days will 3 workers take?
If 11 kilograms of pork cost ₱4,895, how much will 53 kilograms cost?
If A : B = 3 : 7 and B : C = 6 : 2, what is A : B : C?
On a map, 1 cm represents 50 km. Two towns are 13 cm apart on the map. What is the actual distance?
If 15 kilograms of pork cost ₱3,000, how much will 47 kilograms cost?
A motorcycle travels 378 km on 27 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 1 : 3. What fraction of the club are boys?
If 9 notebooks cost ₱333, how much do 8 notebooks cost?
A class has 27 pupils, 18 of whom are boys. What is the ratio of boys to girls?
Find x: 2 : 11 = 18 : x
Simplify the ratio 77 : 22.
A motorcycle travels 135 km on 27 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 1 : 5. What fraction of the club are boys?
A class has 44 pupils, 30 of whom are boys. What is the ratio of boys to girls?
Find x: 5 : 10 = 45 : x
A motorcycle travels 264 km on 24 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 7 : 5. What fraction of the club are boys?
If 9 notebooks cost ₱486, how much do 19 notebooks cost?
Find x: 2 : 12 = 4 : x
₱3,740 is divided between two siblings in the ratio 6 : 5. How much is the larger share?
Simplify the ratio 21 : 28.
A motorcycle travels 136 km on 17 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 4 : 3. What fraction of the club are boys?
If 10 notebooks cost ₱380, how much do 8 notebooks cost?
Find x: 3 : 2 = 15 : x
₱2,150 is divided between two siblings in the ratio 4 : 1. How much is the larger share?
Simplify the ratio 108 : 60.
A motorcycle travels 52 km on 13 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 9 : 5. What fraction of the club are boys?
If 5 notebooks cost ₱235, how much do 18 notebooks cost?
A class has 32 pupils, 20 of whom are boys. What is the ratio of boys to girls?
Find x: 8 : 12 = 48 : x
₱350 is divided between two siblings in the ratio 2 : 5. How much is the larger share?
Simplify the ratio 25 : 5.
A motorcycle travels 156 km on 39 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 7 : 8. What fraction of the club are boys?
If 10 notebooks cost ₱240, how much do 16 notebooks cost?
Find x: 3 : 9 = 33 : x
₱7,200 is divided between two siblings in the ratio 5 : 7. How much is the larger share?
A motorcycle travels 330 km on 30 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 5 : 4. What fraction of the club are boys?
If 11 notebooks cost ₱638, how much do 3 notebooks cost?
Find x: 3 : 11 = 33 : x
₱640 is divided between two siblings in the ratio 7 : 1. How much is the larger share?
Simplify the ratio 36 : 60.
A motorcycle travels 209 km on 19 liters of gasoline. How many kilometers does it travel per liter?
The ratio of boys to girls in a club is 7 : 9. What fraction of the club are boys?
If 3 notebooks cost ₱102, how much do 15 notebooks cost?
Find x: 4 : 5 = 40 : x
Simplify the ratio 36 : 30.
A motorcycle travels 96 km on 24 liters of gasoline. How many kilometers does it travel per liter?
If 7 notebooks cost ₱294, how much do 11 notebooks cost?
Find x: 4 : 5 = 12 : x
₱2,870 is divided between two siblings in the ratio 4 : 3. How much is the larger share?
Simplify the ratio 45 : 40.