Arithmetic section carries high weightage in RRB NTPC exam. Questions from percentage, profit and loss, ratio, average, time and work, and simple interest are asked every year. Practice these 50 arithmetic MCQs based on previous RRB NTPC exam pattern.
- The compound interest on a certain sum for 2 years at 10 percent per annum is Rs 420. Find the simple interest on same sum for same time and rate.
A. 380
B. 400
C. 420
D. 440
Ans B - A mixture of 80 litres contains milk and water in ratio 7:3. How much water should be added to make ratio 7:5.
A. 12 litres
B. 16 litres
C. 20 litres
D. 24 litres
Ans B - A and B together can do a work in 10 days. A alone can do in 15 days. In how many days B alone can do the work.
A. 25
B. 30
C. 35
D. 20
Ans B - The marked price of an article is 25 percent more than cost price. A discount of 10 percent is allowed. Find profit percent.
A. 10
B. 12.5
C. 15
D. 20
Ans B - The ratio of incomes of A and B is 3:4 and their expenditures are in ratio 2:3. If both save Rs 4000 find income of B.
A. 24000
B. 28000
C. 32000
D. 36000
Ans C - A train crosses a pole in 15 seconds and a platform 150 metre long in 25 seconds. Find length of train.
A. 200 m
B. 225 m
C. 250 m
D. 300 m
Ans B - The average of 30 numbers is 40. If each number is increased by 5 find new average.
A. 45
B. 40
C. 42
D. 44
Ans A - A sum amounts to Rs 2420 in 2 years at compound interest 10 percent per annum. Find principal.
A. 2000
B. 2100
C. 2200
D. 2300
Ans A - The ratio of speeds of A and B is 3:4. If A takes 40 minutes more than B to cover same distance find time taken by A.
A. 120 min
B. 160 min
C. 180 min
D. 200 min
Ans B - If 15 men complete a work in 20 days working 8 hours daily. In how many days will 20 men complete same work working 6 hours daily.
A. 20
B. 25
C. 30
D. 32
Ans A - A sum of money becomes 2.25 times in 5 years at compound interest. Find rate percent per annum.
A. 15
B. 20
C. 25
D. 30
Ans B - A can do a work in 12 days and B in 18 days. They work together for 4 days. Remaining work is done by C in 3 days. Find time taken by C alone.
A. 6
B. 9
C. 12
D. 15
Ans C - A trader marks goods 40 percent above cost price and gives 25 percent discount. Find profit percent.
A. 5
B. 10
C. 15
D. 20
Ans A - Two trains moving in opposite direction at 54 km per hour and 72 km per hour cross each other in 12 seconds. Find length of each train if they are equal.
A. 210 m
B. 220 m
C. 240 m
D. 250 m
Ans A - The difference between SI and CI for 3 years at 10 percent is Rs 31. Find principal.
A. 900
B. 1000
C. 1200
D. 1500
Ans B - If cost price of 25 articles is equal to selling price of 20 articles find profit percent.
A. 20
B. 25
C. 30
D. 35
Ans B - The average of 20 numbers is 60. Later 80 is replaced by 100. Find new average.
A. 60
B. 61
C. 62
D. 63
Ans B - A mixture contains spirit and water in ratio 3:2. 10 litres of mixture is removed and replaced with water. Ratio becomes 1:1. Find original quantity.
A. 20
B. 30
C. 40
D. 50
Ans C - A man sells an article at 20 percent loss. If he had sold at Rs 120 more he would have gained 10 percent. Find cost price.
A. 400
B. 500
C. 600
D. 800
Ans B - A train covers 300 km at certain speed and 200 km at 20 percent higher speed. Find average speed if original speed is 60 km per hour.
A. 66
B. 70
C. 72
D. 75
Ans B - A sum doubles in 10 years at SI. In how many years will it triple.
A. 20
B. 25
C. 30
D. 35
Ans A - If 8 men or 12 women can do a work in 20 days find ratio of efficiency of man and woman.
A. 2:3
B. 3:2
C. 4:3
D. 3:4
Ans B - The ratio of two numbers is 7:9. If 10 is added to each ratio becomes 5:6. Find numbers.
A. 35, 45
B. 42, 54
C. 49, 63
D. 56, 72
Ans B - A contractor employs 50 men to complete work in 30 days. After 10 days only one third work is done. Find extra men needed to complete in time.
A. 25
B. 30
C. 40
D. 50
Ans D - A can do work in 16 days B in 24 days. They start together but B leaves after 4 days. Find total time taken.
A. 10
B. 12
C. 14
D. 16
Ans B - Find CI on Rs 8000 for 2 years at 10 percent per annum.
A. 1600
B. 1680
C. 1760
D. 1800
Ans B - A train 200 m long crosses a bridge 300 m long in 25 seconds. Find speed.
A. 72 km per hour
B. 60 km per hour
C. 54 km per hour
D. 90 km per hour
Ans A - A trader allows 20 percent discount on marked price and still gains 20 percent. Find marked price if CP is Rs 500.
A. 750
B. 700
C. 800
D. 900
Ans A - A and B together earn Rs 3000. Ratio of their incomes is 2:3. Find income of B.
A. 1200
B. 1500
C. 1800
D. 2000
Ans C - A man covers half distance at 40 km per hour and remaining half at 60 km per hour. Find average speed.
A. 48
B. 50
C. 52
D. 54
Ans A - A sum amounts to Rs 1331 in 3 years at CI 10 percent. Find principal.
A. 1000
B. 1100
C. 1200
D. 1300
Ans A - The average of 50 numbers is 40. If 10 is added to each number find new average.
A. 45
B. 50
C. 40
D. 55
Ans B - A works twice as fast as B. If B can do work in 18 days find time taken by A and B together.
A. 6
B. 9
C. 12
D. 15
Ans A - Find SI on Rs 4000 for 3 years at 5 percent per annum.
A. 600
B. 700
C. 800
D. 900
Ans A - A train moving at 72 km per hour crosses a pole in 20 seconds. Find length of train.
A. 300 m
B. 350 m
C. 400 m
D. 450 m
Ans C - If SP of 12 articles is equal to CP of 15 articles find loss percent.
A. 20
B. 25
C. 30
D. 35
Ans A - The ratio of speeds of A and B is 4:5. If A takes 25 minutes more find time taken by B.
A. 100
B. 125
C. 150
D. 175
Ans A - A sum becomes Rs 6050 in 2 years at SI 10 percent. Find principal.
A. 5000
B. 5500
C. 6000
D. 6500
Ans A - A mixture contains milk and water in ratio 5:3. How much mixture should be replaced by water so that ratio becomes 1:1 if total is 64 litres.
A. 8
B. 16
C. 24
D. 32
Ans B - A can do work in 20 days B in 30 days. Both work together for 6 days. Remaining work done by C in 4 days. Find time taken by C alone.
A. 8
B. 10
C. 12
D. 16
Ans B
DATA INTERPRETATION SET
The following table shows number of candidates selected from 5 coaching institutes in a railway exam.
Institute | Appeared | Selected
A | 800 | 160
B | 600 | 120
C | 1000 | 250
D | 750 | 150
E | 900 | 180
- Find selection percentage of Institute C.
A. 20%
B. 22%
C. 25%
D. 28%
Ans C - Which institute has highest selection ratio.
A. A
B. B
C. C
D. E
Ans C - Find difference between selection percentage of Institute A and D.
A. 0%
B. 2%
C. 4%
D. 6%
Ans A - Total candidates appeared from all institutes.
A. 3950
B. 4050
C. 4150
D. 4250
Ans B - Total selected candidates from all institutes.
A. 760
B. 800
C. 860
D. 900
Ans C - Find selection percentage of Institute E.
A. 18%
B. 20%
C. 22%
D. 24%
Ans B - How many more candidates appeared from C than B.
A. 300
B. 350
C. 400
D. 450
Ans C - Ratio of selected candidates from A and E.
A. 8:9
B. 4:5
C. 5:6
D. 7:8
Ans B - Find average number of selected candidates from all institutes.
A. 150
B. 160
C. 172
D. 180
Ans C - Selection percentage of all institutes together.
A. 18%
B. 20%
C. 21%
D. 22%
Ans C
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