Ratio and Proportion questions are asked every year in RRB NTPC exam from topics like partnership, mixture, income expenditure, and direct inverse proportion. Practice these 40 exam oriented MCQs for CBT 1 and CBT 2 preparation.
- The ratio of two numbers is 4:7 and their difference is 45. Find greater number.
A. 80
B. 105
C. 140
D. 120
Ans B - A mixture contains milk and water in ratio 3:2. How much water should be added to 25 litres mixture to make ratio 3:4.
A. 10
B. 12
C. 15
D. 18
Ans A - A and B invest in ratio 5:7. Profit is Rs 4800. Find share of B.
A. 2000
B. 2400
C. 2800
D. 3000
Ans C - The ratio of incomes of A and B is 3:5 and their expenditures are in ratio 2:3. If each saves Rs 4000 find income of A.
A. 18000
B. 20000
C. 24000
D. 30000
Ans C - The ratio of ages of A and B is 4:5. After 6 years ratio becomes 5:6. Find present age of B.
A. 30
B. 25
C. 20
D. 35
Ans A - The ratio of speed of two trains is 3:4. They cover same distance. Find ratio of time taken.
A. 4:3
B. 3:4
C. 5:6
D. 6:5
Ans A - Two numbers are in ratio 7:9. If 12 is subtracted from each ratio becomes 5:7. Find numbers.
A. 56, 72
B. 63, 81
C. 70, 90
D. 77, 99
Ans B - A bag contains red and blue balls in ratio 5:3. 8 blue balls are added. Ratio becomes 5:4. Find original number of blue balls.
A. 12
B. 16
C. 20
D. 24
Ans B - The ratio of two numbers is 5:6 and their sum is 77. Find smaller number.
A. 30
B. 35
C. 40
D. 42
Ans B - A and B start business in ratio 3:4. After 4 months A withdraws half investment. Find new ratio.
A. 3:2
B. 3:4
C. 2:3
D. 4:3
Ans A - A mixture of spirit and water is 5:3. 8 litres mixture removed and replaced with water. Ratio becomes 1:1. Find original quantity.
A. 32
B. 40
C. 48
D. 64
Ans C - The ratio of speeds of A and B is 5:6. If A takes 30 minutes more find time taken by B.
A. 150
B. 180
C. 210
D. 240
Ans B - The ratio of present ages of two persons is 6:7. After 5 years ratio becomes 7:8. Find younger age.
A. 30
B. 36
C. 42
D. 48
Ans C - The ratio of incomes of A and B is 7:9 and their savings are 3:5. Find ratio of expenditures.
A. 4:5
B. 5:6
C. 6:7
D. 7:8
Ans B - A and B invest in ratio 4:5. After 6 months B withdraws half investment. Find profit ratio at year end.
A. 4:3
B. 3:2
C. 2:3
D. 5:4
Ans A - The ratio of two numbers is 8:9. If 8 added to each ratio becomes 9:10. Find smaller number.
A. 64
B. 72
C. 80
D. 56
Ans A - The ratio of boys to girls is 5:6. If 20 girls join ratio becomes 3:4. Find number of boys.
A. 40
B. 60
C. 80
D. 100
Ans B - A mixture contains milk and water in ratio 4:1. How much water should be added to 50 litres mixture to make ratio 4:3.
A. 20
B. 25
C. 30
D. 35
Ans B - The ratio of incomes of A and B is 2:3 and their expenditures are 3:5. If both save Rs 3000 find income of B.
A. 12000
B. 15000
C. 18000
D. 21000
Ans C - The ratio of speeds of two cars is 4:5. Find ratio of time taken to cover same distance.
A. 4:5
B. 5:4
C. 6:5
D. 5:6
Ans B - The ratio of ages of A and B is 3:4. After 8 years ratio becomes 5:6. Find age of A.
A. 24
B. 30
C. 36
D. 40
Ans C - Two numbers are in ratio 9:11. If 18 added to each ratio becomes 5:6. Find numbers.
A. 54, 66
B. 72, 88
C. 81, 99
D. 90, 110
Ans B - A and B invest in ratio 7:8. Profit is Rs 4500. Find share of A.
A. 1800
B. 2000
C. 2100
D. 2400
Ans C - The ratio of two numbers is 5:8 and their difference is 39. Find smaller number.
A. 60
B. 65
C. 70
D. 75
Ans B - A mixture contains acid and water in ratio 7:3. 10 litres mixture replaced with water. Ratio becomes 7:5. Find original quantity.
A. 40
B. 50
C. 60
D. 70
Ans C - The ratio of incomes of A and B is 5:6 and their savings are 3:4. Find ratio of expenditures.
A. 4:5
B. 5:6
C. 6:7
D. 7:8
Ans B - The ratio of ages of A and B is 8:9. After 4 years ratio becomes 9:10. Find age of B.
A. 36
B. 40
C. 45
D. 48
Ans C - A and B start business in ratio 5:7. After 3 months A doubles investment. Find profit ratio after 1 year.
A. 6:7
B. 7:6
C. 8:7
D. 9:7
Ans B - The ratio of speeds of A and B is 2:3. If A takes 20 minutes more find time taken by B.
A. 40
B. 50
C. 60
D. 80
Ans A - Two numbers are in ratio 11:13. If 22 subtracted ratio becomes 9:11. Find numbers.
A. 55, 65
B. 66, 78
C. 77, 91
D. 88, 104
Ans B - The ratio of incomes of A and B is 4:5. Their expenditures are 3:4. If each saves Rs 2000 find income of B.
A. 12000
B. 15000
C. 18000
D. 20000
Ans C - The ratio of two numbers is 6:7 and their sum is 104. Find greater number.
A. 48
B. 56
C. 60
D. 64
Ans B - The ratio of boys to girls is 3:5. 10 boys join ratio becomes 4:5. Find original boys.
A. 24
B. 30
C. 36
D. 40
Ans B - A mixture contains milk and water in ratio 2:1. How much water added to 36 litres to make ratio 2:3.
A. 18
B. 24
C. 30
D. 36
Ans B - The ratio of ages of A and B is 5:6. After 6 years ratio becomes 6:7. Find age of A.
A. 30
B. 36
C. 42
D. 48
Ans C - A and B invest in ratio 2:3. Profit is Rs 6000. Find share of B.
A. 2400
B. 3000
C. 3600
D. 4000
Ans C - The ratio of speeds of A and B is 3:5. Find ratio of time taken.
A. 3:5
B. 5:3
C. 4:3
D. 3:4
Ans B - Two numbers are in ratio 4:7. If 6 added to each ratio becomes 5:8. Find smaller number.
A. 16
B. 24
C. 32
D. 40
Ans B - The ratio of incomes of A and B is 3:4 and their expenditures 5:6. If each saves Rs 1000 find income of B.
A. 6000
B. 8000
C. 10000
D. 12000
Ans C - The ratio of two numbers is 9:10 and their sum is 190. Find greater number.
A. 80
B. 90
C. 100
D. 110
Ans C
