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SBI Clerk Prelims Numerical Ability — Previous Year Questions

490 Numerical Ability questions asked in past SBI Clerk Prelims papers, split into 49 timed practice sets — every question with its answer and explanation.

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About SBI Clerk Prelims Numerical Ability previous year questions

This page collects every Numerical Ability question that has appeared in past SBI Clerk Prelims papers on AajExam — 490 questions in total, organised into 49 short, timed practice sets. Each question is shown with its four options, the correct answer, and an explanation of the reasoning, so you can use the page either as a self-test or as a revision reference. Why previous year questions are the highest-value Numerical Ability preparation you can do for SBI Clerk Prelims: recruitment boards reuse a stable pool of concepts across cycles. The wording changes, the underlying idea rarely does. Working through a few hundred genuine past Numerical Ability questions teaches you which sub-topics the paper actually rewards, how the examiner likes to frame distractors, and roughly how long each question type should take — none of which a syllabus document can tell you. How to use this page: attempt questions in blocks of ten without looking at the answers, then review every question you got wrong or guessed. Read the explanation for the concept, not just the answer letter. When a concept keeps catching you out, open the related topic page linked below and drill that single area before returning here. Repeat across the full bank, and track how your accuracy on the second pass compares with your first — a 15-20% improvement is normal and is the clearest sign your preparation is working. What is in this bank: the questions are transcribed from actual SBI Clerk Prelims question papers, kept in the original order and wording, with solutions written by subject specialists. Sets are free to attempt, work on mobile, and need no login to read. If you would rather practise a complete paper end to end under exam conditions, the full SBI Clerk Prelims previous-year papers are linked below as well.

Numerical Ability PYQs asked in SBI Clerk Prelims

A sample of 30 questions from the full bank of 490. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.A 150 liters mixture of milk and water contains 30% water. 40 liters of this mixture is removed, and y liters of water is added to the remaining mixture. If in the resultant mixture, the ratio of the milk to water becomes 11:6, then find the value of y.
- A.3
- B.4
- C.8
- D.5
- E.9
Show answer
Answer: E. 9
Q2.Ravi and Sohan started a business with investments of Rs. 9000 and Rs. 6000, respectively. After Y months, Sohan left the business. If at the end of the year, the profit share of Sohan is Rs 1500 out of a total profit of Rs 4500, then find Y.
- A.9
- B.10
- C.5
- D.6
- E.8
Show answer
Answer: A. 9
Q3.The ratio of present ages of Aman and Rohan is 3 : 5. Sohan is 8 years older than Aman and 4 years younger than Rohan. Find the age of Rohan after 6 years (in years).
- A.24
- B.40
- C.36
- D.30
- E.32
Show answer
Answer: C. 36
Let the present age of Aman be X years The present age of Sohan = X + 8 years And The present age of Rohan = X + 8 + 4 = X + 12 years ATQ, 5X = 3X + 36 2X = 36 X =18 Required age = X + 12 + 6 = X + 18 = 18 + 18 = 36 years
Q4.An article is sold at 20% profit. If it had been sold for Rs. 240 more, the profit percent would have been 30%. Find the cost price of the article (in Rs).
- A.1500
- B.1200
- C.2400
- D.2200
- E.1800
Show answer
Answer: C. 2400
Let cost price = X. Selling Price at 20% profit = 1.2×X Selling Price at 30% profit = 1.3×X 1.3X – 1.2X = 240 X = 2400
Q5.A can complete a piece of work in 15 days, and B can complete the same work in 20 days. They start working together but after 4 days, B leaves. In how many more days will A finish the remaining work (in days)?
- A.9
- B.4
- C.6
- D.5
- E.8
Show answer
Answer: E. 8
Total work (LCM of 15 and 20) = 60 units Efficiency of A = 60/15 = 4 units/day Efficiency of B = 60/20 = 3 units/day Amount of work done by A and B together in 4 days = 4 × (4 + 3) = 28 units
Q6.What value should come in place of question mark? 14² + 185÷37= ? -13
- A.107
- B.150
- C.315
- D.220
- E.214
Show answer
Answer: E. 214
14² + 185÷37= ? -13 196 + 5 + 13 = ? 214 = ?
Q7.What value should come in place of question mark? √256 + 340÷34+39 = 16 + ? + 13
- A.36
- B.33
- C.14
- D.51
- E.93
Show answer
Answer: A. 36
√256 + 340÷34+39 = 16 +? + 13 16 + 10 + 39 = 29 + ? 36 = ?
Q8.What value should come in place of question mark? 5 ×14 – 246 + ?=58
- A.233
- B.235
- C.234
- D.221
- E.225
Show answer
Answer: C. 234
5 ×14 – 246 + ?=58 ? = 58 + 246 – 70 ? = 234
Q9.What value should come in place of question mark? 3333 ÷11+150 ÷ 10 = 10+ ?
- A.164
- B.620
- C.308
- D.210
- E.453
Show answer
Answer: C. 308
3333 ÷11+150 ÷ 10 = 10+ ? 303 + 15 – 10 = ? 308 = ?
Q10.What value should come in place of question mark? 4500 ÷ 45 + 332 + 23 = ?
- A.480
- B.325
- C.675
- D.220
- E.455
Show answer
Answer: E. 455
4500 ÷ 45 + 332 + 23 = ? 100 + 355 = ? 455 =?
Q11.Read the following information carefully and answer the questions given below. In class 8th : The total number of students in the class is 60, and 40% of boys are in the class. In class 9th : The ratio of the boys in the class to girls in 8th class is 7:4, respectively. The total students in the class are 40% more than those in 8th class. In class 10th : The total girls in the class is 14 2/7% more than that of in 9th class, and the total boys in the class is 16.67% less than that of in 8th class. Find the difference between the total boys in class 8th and the total girls in class 9th.
- A.3
- B.7
- C.8
- D.4
- E.5
Show answer
Answer: A. 3
Boys in class 8 = 40% of 60 = 24; Girls in class 8 = 36. Boys in class 9 : Girls in class 8 = 7 : 4 → Boys9 = 63; total class 9 = 84 → Girls9 = 21. Difference between Boys8 (24) and Girls9 (21) = 3.
Q12.Read the following information carefully and answer the questions given below. In class 8th : The total number of students in the class is 60, and 40% of boys are in the class. In class 9th : The ratio of the boys in the class to girls in 8th class is 7:4, respectively. The total students in the class are 40% more than those in 8th class. In class 10th : The total girls in the class is 14 2/7% more than that of in 9th class, and the total boys in the class is 16.67% less than that of in 8th class. Find the ratio of the total students in class 10th to the total boys in classes 8th and 9th together.
- A.44 : 79
- B.43 : 87
- C.45 : 83
- D.42 : 89
- E.None of these
Show answer
Answer: E. None of these
Required ratio = 44 : (24+63) = 44 : 87
Q13.Read the following information carefully and answer the questions given below. In class 8th : The total number of students in the class is 60, and 40% of boys are in the class. In class 9th : The ratio of the boys in the class to girls in 8th class is 7:4, respectively. The total students in the class are 40% more than those in 8th class. In class 10th : The total girls in the class is 14 2/7% more than that of in 9th class, and the total boys in the class is 16.67% less than that of in 8th class. Total girls in class 9th are what percentage of the total boys in class 10th?
- A.101%
- B.103.33%
- C.110%
- D.105%
- E.108%
Show answer
Answer: D. 105%
Q14.Read the following information carefully and answer the questions given below. In class 8th : The total number of students in the class is 60, and 40% of boys are in the class. In class 9th : The ratio of the boys in the class to girls in 8th class is 7:4, respectively. The total students in the class are 40% more than those in 8th class. In class 10th : The total girls in the class is 14 2/7% more than that of in 9th class, and the total boys in the class is 16.67% less than that of in 8th class. Find the average boys in class 8th and the girls in class 10th.
- A.24
- B.12
- C.28
- D.16
- E.20
Show answer
Answer: A. 24
Boys in class 8 = 24. Girls in class 10 = Girls9 × (1 + 1/7) = 21 × 8/7 = 24. Average = (24 + 24)/2 = 24.
Q15.Read the following information carefully and answer the questions given below. In class 8th : The total number of students in the class is 60, and 40% of boys are in the class. In class 9th : The ratio of the boys in the class to girls in 8th class is 7:4, respectively. The total students in the class are 40% more than those in 8th class. In class 10th : The total girls in the class is 14 2/7% more than that of in 9th class, and the total boys in the class is 16.67% less than that of in 8th class. The total boys in class 11th is 5 more than the average girls in class 8th and 10th. If the total students in class 11th is 25% more than that of class 9th, then find the total girls in class 11th.
- A.100
- B.70
- C.80
- D.90
- E.120
Show answer
Answer: B. 70
Q16.A and B can complete a work in 15 days, B and C together can complete the work in 20 days, while C and A can complete the whole work in 30 days. Find the number of days taken by A, B, and C together to complete the work.
- A.5
- B.8.33
- C.10
- D.12.5
- E.13.33
Show answer
Answer: E. 13.33
Q17.Anita started a business with an investment of Rs 5000. After six months, Banita joined with an investment of Rs 4000, and Anita increased her investment by Rs 1000. At the end of the year, total profit is Rs 39000, then find the profit share of Anita (in Rs).
- A.28600
- B.23400
- C.25600
- D.21400
- E.22500
Show answer
Answer: A. 28600
Anita = 5000×6 + 6000×6 = 66000. Banita = 4000×6 = 24000. Ratio = 66000 : 24000 = 11 : 4. Anita's share = 11/15 × 39000 = Rs. 28600.
Q18.Train A can cross a 200-meter-long platform in 15 seconds with a speed of 20 m/sec. If the speed and length of train B are 25 m/sec and 250 meters, respectively, then find the time (in seconds) taken by train B to cross train A while running in the same direction.
- A.80
- B.70
- C.50
- D.40
- E.90
Show answer
Answer: B. 70
Q19.The area of a triangle is 126 sq. cm, and the ratio of the height to the base of the triangle is 9:7, respectively. If the base of the triangle is equal to the diameter of a circle, then find the circumference of the circle (in cm).
- A.32
- B.60
- C.44
- D.22
- E.28
Show answer
Answer: C. 44
Let the height and the base of the triangle be 9a and 7a cm respectively.
Q20.X number of people in town A, and 10% of the people from town A go abroad. If 25% of the remaining people in town A go to town B and the total people in town B is 9000, then the number of people in town A.
- A.20000
- B.25000
- C.40000
- D.44000
- E.36000
Show answer
Answer: C. 40000
Q21.What will come in place of the question mark (?) in the following question? 250÷5+18×12=?
- A.201
- B.190
- C.234
- D.240
- E.266
Show answer
Answer: E. 266
Q22.What will come in place of the question mark (?) in the following question? 28² + 16 = ?% of 20
- A.1500
- B.2500
- C.4500
- D.4000
- E.3000
Show answer
Answer: D. 4000
Q23.What will come in place of the question mark (?) in the following question? 128/4 + 450/9 = ? × 2
- A.41
- B.43
- C.42
- D.45
- E.49
Show answer
Answer: A. 41
32 + 50 = 82 = ? × 2 → ? = 41.
Q24.What will come in place of the question mark (?) in the following question? 1/3 of 366 + 2/9 of 540 = ? ÷ 4
- A.967
- B.987
- C.958
- D.978
- E.968
Show answer
Answer: E. 968
Q25.What will come in place of the question mark (?) in the following question? √1521 + 11 = ? + 15
- A.42
- B.40
- C.35
- D.43
- E.39
Show answer
Answer: C. 35
39+11=?+15 ?=35
Q26.What will come in place of the question mark (?) in the following question? 1.8 × 4+22.5+124.5=?
- A.123.3
- B.144.5
- C.154.2
- D.189.8
- E.127.4
Show answer
Answer: C. 154.2
7.2+147= ? 154.2=?
Q27.What will come in place of the question mark (?) in the following question? 240-120+349-109=?
- A.360
- B.240
- C.120
- D.180
- E.250
Show answer
Answer: A. 360
120+240=? 360= ?
Q28.What will come in place of the question mark (?) in the following question? 2⁴ ÷ 32 × 4² = 2^?
- A.2
- B.3
- C.5
- D.4
- E.1
Show answer
Answer: B. 3
Q29.What will come in place of the question mark (?) in the following question? 28% of 400 + 125% of 80 = ?³ − 4
- A.3
- B.2
- C.4
- D.6
- E.5
Show answer
Answer: D. 6
Q30.What will come in place of the question mark (?) in the following question? 19.2×4-0.4×3=?-1.5×4
- A.81.6
- B.87.4
- C.82.3
- D.84.5
- E.88.9
Show answer
Answer: A. 81.6
76.8-1.2=?-6 81.6=?

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Frequently Asked Questions

How many SBI Clerk Prelims Numerical Ability previous year questions are available?

490 Numerical Ability questions from past SBI Clerk Prelims papers are available on AajExam, split into 49 practice sets. New questions are added as fresh papers are released.

Are the answers and explanations free?

Yes. Every question on this page shows its correct answer and explanation free of charge, and you do not need an account to read them. A free account only adds attempt tracking and performance analytics.

Do SBI Clerk Prelims repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Numerical Ability sub-topics reappear cycle after cycle with reworded questions. That is why working through past questions raises your score more reliably than reading theory alone.

How should I use these questions in my SBI Clerk Prelims preparation?

Attempt a set of ten cold, review every wrong and guessed question with its explanation, then drill the weak sub-topic on its topic page before moving on. Revisit the same set after a few days — your second-attempt accuracy is the honest measure of whether the concept stuck.

SBI Clerk Prelims Numerical Ability practice sets

Each set is a timed 10-question drill drawn from the same question bank.

About SBI Clerk Prelims Numerical Ability previous year questions

Numerical Ability PYQs asked in SBI Clerk Prelims

Q1.A 150 liters mixture of milk and water contains 30% water. 40 liters of this mixture is removed, and y liters of water is added to the remaining mixture. If in the resultant mixture, the ratio of the milk to water becomes 11:6, then find the value of y.

Q2.Ravi and Sohan started a business with investments of Rs. 9000 and Rs. 6000, respectively. After Y months, Sohan left the business. If at the end of the year, the profit share of Sohan is Rs 1500 out of a total profit of Rs 4500, then find Y.

Q3.The ratio of present ages of Aman and Rohan is 3 : 5. Sohan is 8 years older than Aman and 4 years younger than Rohan. Find the age of Rohan after 6 years (in years).

Q4.An article is sold at 20% profit. If it had been sold for Rs. 240 more, the profit percent would have been 30%. Find the cost price of the article (in Rs).

Q5.A can complete a piece of work in 15 days, and B can complete the same work in 20 days. They start working together but after 4 days, B leaves. In how many more days will A finish the remaining work (in days)?

Q6.What value should come in place of question mark? 14² + 185÷37= ? -13

Q7.What value should come in place of question mark? √256 + 340÷34+39 = 16 + ? + 13

Q8.What value should come in place of question mark? 5 ×14 – 246 + ?=58

Q9.What value should come in place of question mark? 3333 ÷11+150 ÷ 10 = 10+ ?

Q10.What value should come in place of question mark? 4500 ÷ 45 + 332 + 23 = ?

Q16.A and B can complete a work in 15 days, B and C together can complete the work in 20 days, while C and A can complete the whole work in 30 days. Find the number of days taken by A, B, and C together to complete the work.

Q17.Anita started a business with an investment of Rs 5000. After six months, Banita joined with an investment of Rs 4000, and Anita increased her investment by Rs 1000. At the end of the year, total profit is Rs 39000, then find the profit share of Anita (in Rs).

Q18.Train A can cross a 200-meter-long platform in 15 seconds with a speed of 20 m/sec. If the speed and length of train B are 25 m/sec and 250 meters, respectively, then find the time (in seconds) taken by train B to cross train A while running in the same direction.

Q19.The area of a triangle is 126 sq. cm, and the ratio of the height to the base of the triangle is 9:7, respectively. If the base of the triangle is equal to the diameter of a circle, then find the circumference of the circle (in cm).

Q20.X number of people in town A, and 10% of the people from town A go abroad. If 25% of the remaining people in town A go to town B and the total people in town B is 9000, then the number of people in town A.

Q21.What will come in place of the question mark (?) in the following question? 250÷5+18×12=?

Q22.What will come in place of the question mark (?) in the following question? 28² + 16 = ?% of 20

Q23.What will come in place of the question mark (?) in the following question? 128/4 + 450/9 = ? × 2

Q24.What will come in place of the question mark (?) in the following question? 1/3 of 366 + 2/9 of 540 = ? ÷ 4

Q25.What will come in place of the question mark (?) in the following question? √1521 + 11 = ? + 15

Q26.What will come in place of the question mark (?) in the following question? 1.8 × 4+22.5+124.5=?

Q27.What will come in place of the question mark (?) in the following question? 240-120+349-109=?

Q28.What will come in place of the question mark (?) in the following question? 2⁴ ÷ 32 × 4² = 2^?

Q29.What will come in place of the question mark (?) in the following question? 28% of 400 + 125% of 80 = ?³ − 4

Q30.What will come in place of the question mark (?) in the following question? 19.2×4-0.4×3=?-1.5×4

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