Arithmetic Questions for SBI PO Exam 2025 With Solutions

Published on 9 July 2025 by
arithmetic-questions-for-sbi-po

Arithmetic Questions for SBI PO Exam; The SBI PO 2025 Notification has been released, and candidates must prepare rigorously for all sections. Among them, the Arithmetic section is a high-scoring area and essential for clearing the exam. It often features topics like Percentages, Profit and Loss, Time and Work, Speed and Distance, and Averages, with around 10–12 questions appearing in the Quantitative Aptitude section.

Arithmetic Questions for SBI PO Exam 2025

Here are some new arithmetic questions with solutions to help you excel in the SBI PO Exam.

1–2. Simplification / Approximation

Q1. Simplify: √144 + (12 × 2) ÷ 3
Solution: √144 = 12, (12×2)=24, 24÷3 = 8 ⇒ 12 + 8 = 20

Q2. Approximate: 879 ÷ 29 ≈ ?
Solution: 879 ÷ 29 ≈ 880 ÷ 30 = 29.33 ≈ 29

3–4. Profit & Loss

Q3. A product costs Rs. 400 and is sold at 20% profit. Find SP.
Solution: SP = 400 × 1.20 = Rs. 480

Q4. If SP = Rs. 360 and loss = 10%, find CP.
Solution: CP = SP / 0.9 = 360 / 0.9 = Rs. 400

5–6. Mixtures & Alligations

Q5. In what ratio must water be mixed with milk costing Rs. 30/litre to get a mixture worth Rs. 24/litre?
Solution: Water:Milk = (30-24):(24-0) = 6:24 = 1:4

Q6. A 30-litre mixture contains milk and water in 7:3 ratio. How much water to add to make it 1:1?
Solution: Milk = 21L, Water = 9L → Let x be added: 21 = 9+x ⇒ x = 12L

7–8. Permutation, Combination & Probability

Q7. In how many ways can 3 books be arranged on a shelf from 5 books?
Solution: P(5,3) = 5×4×3 = 60 ways

Q8. What is the probability of drawing a red card from a deck?
Solution: 26 red cards out of 52 ⇒ 26/52 = 1/2

9–10. Work & Time

Q9. A does a work in 12 days, B in 16 days. Working together, they complete it in?
Solution: 1/A + 1/B = 1/12 + 1/16 = (4+3)/48 = 7/48 ⇒ Time = 48/7 ≈ 6.86 days

Q10. If A and B together finish a work in 10 days and A alone does it in 15, how long will B take?
Solution: 1/B = 1/10 – 1/15 = (3-2)/30 = 1/30 ⇒ 30 days

11–12. Sequence & Series

Q11. Find the 10th term of AP: 2, 5, 8…
Solution: a = 2, d = 3 ⇒ Tn = a + (n−1)d = 2 + 9×3 = 29

Q12. Sum of first 20 natural numbers?
Solution: n(n+1)/2 = 20×21/2 = 210

13–14. Simple & Compound Interest

Q13. Find SI on Rs. 3000 at 10% for 3 years.
Solution: SI = PRT/100 = 3000×10×3/100 = Rs. 900

Q14. CI on Rs. 2000 at 10% p.a. for 2 years?
Solution: A = 2000(1.1)² = 2000×1.21 = 2420 ⇒ CI = Rs. 420

15–16. Surds & Indices

Q15. Simplify: √25 × √49
Solution: 5 × 7 = 35

Q16. Simplify: (3²)³
Solution: 3² = 9 ⇒ 9³ = 729

17–18. Mensuration – Cylinder, Cone, Sphere

Q17. Volume of a cylinder: r = 3 cm, h = 7 cm
Solution: V = πr²h = π×9×7 = 198π ≈ 621.6 cm³

Q18. Surface area of a sphere with r = 5 cm
Solution: SA = 4πr² = 4×π×25 = 100π ≈ 314.16 cm²

19–20. Time & Distance

Q19. A car covers 240 km in 4 hrs. What is speed?
Solution: Speed = 240/4 = 60 km/h

Q20. A train crosses a 180m platform in 30 sec at 12 m/s. Find length of train.
Solution: Distance = 12×30 = 360 ⇒ Train = 360–180 = 180m

21–22. Data Interpretation

Q21. If a company sells 200 units at Rs. 50 each, what is revenue?
Solution: 200×50 = Rs. 10,000

Q22. If production increased from 1500 to 1800 units, what % increase?
Solution: (300/1500)×100 = 20%

23–24. Ratio & Proportion

Q23. Ratio of A:B = 2:3, B:C = 4:5. Find A:C.
Solution: A:B:C = 8:12:15 ⇒ A:C = 8:15

Q24. If A:B = 5:7, find B if A = 40.
Solution: 5x = 40 ⇒ x = 8 ⇒ B = 7×8 = 56

25–26. Number Systems

Q25. Find LCM of 12 and 18
Solution: LCM = 36

Q26. Find HCF of 48 and 60
Solution: HCF = 12

27–28. Percentage

Q27. What is 25% of 640?
Solution: 640×0.25 = 160

Q28. Increase 200 by 15%
Solution: 200×1.15 = 230

29–30. Quadratic Equation

Q29. Solve x² − 5x + 6 = 0
Solution: (x−2)(x−3) ⇒ x = 2, 3

Q30. Solve x² + 7x + 10 = 0
Solution: (x+2)(x+5) ⇒ x = −2, −5

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