Arithmetic Questions for SBI PO Exam

The official SBI PO notification 2025 has been released, and for those preparing for the exam, it is essential to focus on the core topics. An important area to focus on is Arithmetic, which plays a crucial role in the exam. The Arithmetic section is known for its presence in every paper and offers a great opportunity to score. Topics such as percentage, profit and loss, time and work, speed and distance, and average are frequently tested. Detailed solutions are available to help you strengthen your foundation and ensure that you are fully prepared for the challenges ahead.

Arithmetic Questions for SBI PO Exam

Arithmetic is an important and scoring topic in the SBI PO 2025 exam, with 10 to 12 questions coming from this section every year. The Quantitative Aptitude section has a total of 35 questions, covering topics like Number Series, Estimation, Data Interpretation (DI), Quadratic Equations, and Arithmetic. With topics like Percentage, Profit and Loss, Time and Work, Speed ​​and Distance, and Average, regular practice will help you increase your accuracy and speed, ultimately leading to higher marks and better results in the exam.

1. A, B and C could do 662/3% of work together in 6 days, while A and B could do 331/3% of same work together in 5 days and B & C could do the 25% of work together in 4 days. Find the number of days (approx.) taken by B alone to complete 12.5% of the same work.
(a) 15
(b) 13
(c) 11
(d) 9
(e) 7

2. An article P was sold at d% discount after it was marked up by 20% and sold at 10% profit. If another article Q was sold at Rs. 800 and at a profit of 3d%, then find cost price of article Q. (in Rs.)
(a) 600
(b) 640
(c) 740
(d) 720
(e) None of these

3. A man can row a boat with the speed of 6 1/4 kmph in still water, while it takes him four times the time taken by the boat to row upstream than as to row downstream the same distance which he covered in still river. Find the speed of the current is how much less than the speed of boat in still water. (in kmph)
(a) 1.75
(b) 1.25
(c) 2.25
(d) 2.50
(e) 2.75

4. Mohan invested Rs. 100P in scheme A at 15% rate compounded annually for two years. The interest earned from scheme A is invested in scheme B, offering r% p.a. for three years at simple interest. If Mohan earned Rs. 19.35P interest from scheme B, then find ‘r’.
(a) 25
(b) 15
(c) 20
(d) 10
(e) 12

5. Pipe A and Pipe B could fill a tank together in 24 hours and 16 hours respectively, while pipe C could empty it in 20 hours. If both inlet pipes are opened together for first 5 hours, then pipe C replaced them. Find the time taken by pipe C to empty the tank filled by pipe A and pipe B together.
(a) 12 hr 15 min
(b) 10 hr 35 min
(c) 12 hr 45 min
(d) 8 hr
(e) 10 hr 25 min

6. The ratio of time taken by a man, a woman and a child to complete a work individually is 1: 2: 3. If 10 men, 15 women and 18 children together start the same work and total wages is Rs. 1410, then find total wages of 10 men, 12 women and 15 children?
(a) 1260 Rs.
(b) 1280 Rs.
(c) 1480 Rs.
(d) 1680 Rs.
(e) 1180 Rs.

7. 400 students play three different games (A, B and C). 240, 180 & 140 students play A, B & C games respectively. If 10 students play A and C together but not B, 50 students play B and C together but not A and 60 students play A & B together but not C, then find the number of students who play all three games together.
(a) 25
(b) 40
(c) 20
(d) 15
(e) Can’t be determined

8. A person invested certain sum in scheme A at simple interest at x% for x/5 years. If he invested x% less amount in scheme B at simple for three years at x/2%, then the ratio of interest received from scheme B to scheme A is 3: 10. Find 3x.
(a) 60
(b) 90
(c) 45
(d) 57
(e) None of these

9. The present ages of A, B and C are X years, (X + 10) years and (X + 5) years respectively. The ratio of the age of A after four years to the age of B four years ago was 12:13 respectively. If the present age of D is 20% less than the average present age of A, B, and C, then find the present age of D is what percentage more or less than the present age of B.
(a) 121/2%
(b) 331/3%
(c) 45%
(d) 30%
(e) 662/3%

10. The difference between the time taken by a boat covers to X km in downstream and same distance cover in upstream is 2 hours. If the difference between the time taken by a boat to covers (X +25) km in each upstream and downstream is 8/3 hours and the speed of stream is 5 km/hr, then find the value of X.
(a) 45
(b) 85
(c) 75
(d) 70
(e) Can’t be determined

11. Three friends A, B and C entered into partnership by investing of Rs. 80X, Rs. (10X + 4500) & Rs. (7500-30X) respectively. The ratio of the time period of A, B & C is 4: 3: 6 respectively. If the profit-sharing ratio of A, B and C is 16: 15: 36 respectively, then find the value of 20X.
(a) 20
(b) 50
(c) 1000
(d) 2000
(e) 500

12. Time taken by a man to complete 2/3 rd of W1 work is same as time taken by a woman to do 1/3 rd of W2 work. If W2 is 1.5 times of W1 and pair of one man & one woman can do 7/10 th total works (W1 + W2) together in 5 days, then find the difference between number of days taken by two women to complete W1 and W2 work.
(a) 5/3
(b) 4/3
(c) 7/3
(d) 10/3
(e) 5

13. 1/5th of cost price of article B is Rs 45 more than 10% of the cost price of article A, while article A is sold at profit of 12% and article B is sold at loss of 5%. If total selling price of article A and B is Rs 1410, then find the cost price of B.
(a) Rs. 600
(b) Rs. 650
(c) Rs. 700
(d) Rs. 800
(e) None of these

14. Monthly income of a man is Rs. 5000. Due to 10% increase in his income his expenditure is increased by 18% and savings are reduced by 2%. Find the initial expenditure of the man. (In Rs.)
(a) 3480
(b) 3040
(c) 3000
(d) 3140
(e) 3080

15. A jar contains (50 liters) mixture of two liquid A and B in which liquid A is (34 liters) more than liquid B. If (x liters) mixture taken out from the jar and (x + 67/10 liters) mixture liquid B added, then the ratio of liquid A to that of liquid B in resultant mixture becomes 5 : 4. Find ‘x’.
(a) 20
(b) Can’t be determined
(c) 25
(d) 12.5
(e) 6.25

16. Length of a rectangular field is two times of radius of a circular field whose circumference is 264 meters. If area of the rectangular field is 2016 meters square, then find radius of circular field is what percent more than breadth of the rectangular field.
(a) 75%
(b) 125%
(c) 50%
(d) 25%
(e) 87.5%

17. B’s capital is 3/5 times more than A’s capital. B invested his capital at 25% per annum for two years on compound interest. At what rate of interest per annum on simple interest should A invest his capital so that after two years, they both will be received same amount.
(a) 25%
(b) 35%
(c) 55%
(d) 65%
(e) 75%

18. A boat covers 120 km downstream in 8 hours and the same distance covers in upstream in 40 hours. If the speed of boat in still water and speed of stream is increased by 6 kmph and 4 kmph respectively, then what is the total time (in hours) taken by the boat to covers 200 km in upstream and downstream each?
(a) 50
(b) 48
(c) 42
(d) 44
(e) 46

19. A bag contains (x+4) pink, 6 green and 8 brown colour balls. If two balls are taken randomly and the probability of getting both are green colour balls is 5/92, then find the difference between the number of pink colour balls and the number of brown colour balls.
(a) 3
(b) 2
(c) 4
(d) 1
(e) 5

20. P, Q, R and S are four pipes which can either fill or empty a tank in 12 hours, 20 hours, 30 hours and 15 hours respectively. If the whole tank is filled in 15 hours when all the pipes are working together, then find the maximum possible number of outlet pipes.
(a) 0
(b) 1
(c) 2
(d) 3
(e) Can’t be determined

Answer

S1. (e)
S2. (b)
S3. (d)
S4. (c)
S5. (e)
S6. (a)
S7. (c)
S8. (a)
S9. (b)
S10. (c)
S11. (c)
S12. (a)
S13. (a)
S14. (c)
S15. (d)
S16. (a)
S17. (e)
S18. (b)
S19. (b)
S20. (c)