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SSC Selection Post Quantitative Aptitude — Previous Year Questions

510 Quantitative Aptitude questions asked in past SSC Selection Post papers, split into 51 timed practice sets — every question with its answer and explanation.

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About SSC Selection Post Quantitative Aptitude previous year questions

This page collects every Quantitative Aptitude question that has appeared in past SSC Selection Post papers on AajExam — 510 questions in total, organised into 51 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 Quantitative Aptitude preparation you can do for SSC Selection Post: 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 Quantitative Aptitude 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 SSC Selection Post 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 SSC Selection Post previous-year papers are linked below as well.

Quantitative Aptitude PYQs asked in SSC Selection Post

A sample of 30 questions from the full bank of 510. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.The ratio of cheese to sauce for a single pizza is 1 cup to 1/2 cup. If Rama used 15 cups of sauce to make a number of pizzas, then how many cups of cheese did she use on those pizzas?
- A.20 cups
- B.10 cups
- C.40 cups
- D.30 cups
Show answer
Answer: D. 30 cups
Cheese:sauce = 2:1. 15 sauce → 30 cheese. Option 4.
Q2.What would be the simple interest (in ₹) on principal amount of ₹1 lakh for 2 years at the rate of 12 percent per annum?
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: D. Option 4
SI = 100000 × 12 × 2 / 100 = 24000. Per response sheet, option 4.
Q3.Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure – health, education and food in the ratio of 1 : 2 : 2. The income is Rs.300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health?
- A.Rs.300
- B.Rs.350
- C.Rs.2,250
- D.Rs.500
Show answer
Answer: A. Rs.300
Spent = 0.85I in 1:2:2. Education = 0.34I. I = 3×0.34I − 300 → I = 15000. Savings = 2250, Health = 2550 → Diff = 300. Option 1.
Q4.Answer based on the figure shown.
- A.15
- B.16
- C.14
- D.17
Show answer
Answer: D. 17
Per response sheet, option 4 (17).
Q5.A trader marked a table at ₹37,062, and sold it allowing a 33% discount. If his profit was 42%, then the cost price (in ₹) of the table was:
- A.15,487
- B.16,487
- C.17,487
- D.13,487
Show answer
Answer: C. 17,487
SP = 37062 × 0.67 = 24831.54. CP = 24831.54/1.42 ≈ 17487. Option 3.
Q6.If the volume of a cube is given as 12167 cm³, then the surface area of the cube will be:
- A.3475 cm²
- B.4574 cm²
- C.3174 cm²
- D.5413 cm²
Show answer
Answer: C. 3174 cm²
Side = ∛12167 = 23. SA = 6×23² = 3174. Option 3.
Q7.What is the side of a cube (in metres) in which an iron rod of maximum length 10 metres can be put?
- A.5.77
- B.7.57
- C.5.57
- D.7.75
Show answer
Answer: A. 5.77
Cube diagonal = side × √3 = 10 → side = 10/√3 ≈ 5.77 m. Option 1.
Q8.Let M denote the mean proportional between 16 and 9 and let N denote the third proportional of 9 and 15. Find the value of 5M + 3N.
- A.300
- B.125
- C.135
- D.225
Show answer
Answer: C. 135
M = √(16×9) = 12. N = 15²/9 = 25. 5×12 + 3×25 = 60 + 75 = 135. Option 3.
Q9.The average weight of 10 parcels is 28.6 kg. The addition of a new parcel reduces the average weight by 0.6 kg. What is the weight (in kg) of the new parcel?
- A.23
- B.21
- C.22
- D.20
Show answer
Answer: C. 22
Total = 286. New avg = 28 → new total = 308. Parcel = 22. Option 3.
Q10.Ramu can build a wall alone in 15 days, while Ravan can build it alone in 10 days. Ramu worked for 5 days. Then Ravan joined Ramu for the next 3 days. How many more days could Ramu take to build the remaining wall?
- A.7.5
- B.10.5
- C.2.5
- D.5.5
Show answer
Answer: C. 2.5
Ramu 5 days = 5/15 = 1/3. Both 3 days = 3×(1/15+1/10) = 1/2. Done = 1/3+1/2 = 5/6. Remaining 1/6 by Ramu = 2.5 days. Option 3.
Q11.A, B and C can do the same work in 9 days, 12 days and 18 days, respectively. A started the work and worked for 3 days and left. Then, B joined the work and worked for 3 days and left. Then, C joined the work and completed the work. Find the number of days C took to complete the work.
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: B. Option 2
LCM(9,12,18)=36 units. A=4/day×3=12; B=3/day×3=9; Total done=21; left=15; C=2/day → 15/2 = 7.5 days. Per docx, option 2.
Q12.Which of the following in NOT a criterion of congruent triangles?
- A.Side-Side-Side
- B.Angle-Side-Angle
- C.Angle-Angle-Angle
- D.Side-Angle-Side
Show answer
Answer: C. Angle-Angle-Angle
AAA only proves similarity, not congruence. Option 3.
Q13.The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
- A.176
- B.144
- C.164
- D.200
Show answer
Answer: D. 200
Let smaller = s, greater = 450 − s. 0.96(450 − s) = 1.20s → 432 − 0.96s = 1.20s → s = 432/2.16 = 200. Option 4.
Q14.By selling a hair oil product for ₹336, the gain is 12%. If the gain is reduced to 9%, find the resultant selling price (in ₹).
- A.339
- B.330
- C.300
- D.327
Show answer
Answer: D. 327
CP = 336/1.12 = 300. New SP = 300 × 1.09 = 327. Option 4.
Q15.The price of an item is increased by 15% and then the price is decreased by 12%. What is the effective percentage increase in the price of the item?
- A.3%
- B.1.2%
- C.2.2%
- D.1.8%
Show answer
Answer: B. 1.2%
Effective = 15 − 12 − (15×12)/100 = 3 − 1.8 = 1.2%. Option 2.
Q16.Evaluate the given expression.
- A.5430
- B.5544
- C.5524
- D.5452
Show answer
Answer: B. 5544
Per docx answer key, option 2 (5544).
Q17.Select the correct statement about the properties of a triangle.
- A.The sum of two sides is always equal to the third side.
- B.The sum of two sides is always less than the third side.
- C.The sum of two sides is always greater than the third side.
- D.The sum of two sides may be equal to the third side.
Show answer
Answer: C. The sum of two sides is always greater than the third side.
Triangle inequality: sum of any two sides > third side. Option 3.
Q18.If 72 * 72 is divisible by 9, the missing * digit will be:
- A.3 or 6
- B.5 or 8
- C.0 or 9
- D.2 or 4
Show answer
Answer: C. 0 or 9
Digit sum 7+2+*+7+2 = 18+*. Divisible by 9 → * = 0 or 9. Option 3.
Q19.Evaluate the given expression.
- A.6
- B.3
- C.4
- D.5
Show answer
Answer: A. 6
Per docx answer key, option 1 (6).
Q20.PQR and ABC are two congruent triangles. If the area of PQR is 225 cm², then the area of ABC is:
- A.15 cm²
- B.225 cm²
- C.112.5 cm²
- D.25 cm²
Show answer
Answer: B. 225 cm²
Congruent triangles have equal areas → 225 cm². Option 2.
Q21.Simplify the expression: 15×15×15 + 3×15×12×12 − 3×15×15×12 − 12×12×12
- A.36
- B.18
- C.27
- D.9
Show answer
Answer: C. 27
= (15 − 12)³ = 3³ = 27. Option 3.
Q22.Suresh invested a certain sum of money at 5% per annum simple interest. If he receives an interest of ₹69,687 after 15 years, the sum (in ₹) he invested is:
- A.92880
- B.92456
- C.92916
- D.92530
Show answer
Answer: C. 92916
P = SI × 100 / (R × T) = 69687 × 100 / (5 × 15) = 6968700/75 = 92916. Option 3.
Q23.The strength of a school increases and decreases every alternate year by 20%. It started with an increase in 2018. What is the strength of the school at the start of 2021 as compared to that of 2018?
- A.Increase by 16.2%
- B.Increase by 15.2%
- C.Decrease by 16.2%
- D.Decrease by 15.2%
Show answer
Answer: B. Increase by 15.2%
Net = 1.2 × 0.8 × 1.2 = 1.152. Then end of 2020 = 1.152 (increase by 15.2%). Option 2.
Q24.Evaluate the given expression.
- A.34
- B.32
- C.36
- D.38
Show answer
Answer: A. 34
Per docx answer key, option 1 (34).
Q25.A vendor buys 20 laptop bags for ₹13,000 and sells them at 15 for ₹10,125. How many laptop bags should be bought and sold to earn a profit of ₹3,225?
- A.120
- B.129
- C.123
- D.127
Show answer
Answer: B. 129
CP/bag = 650; SP/bag = 675. Profit/bag = 25. Need 3225/25 = 129 bags. Option 2.
Q26.A policeman notices a thief from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speeds of 10 km/h and 12 km/h, respectively. What will be the distance between them (in m) after 6 minutes?
- A.80
- B.200
- C.150
- D.100
Show answer
Answer: D. 100
Relative gain = 2 km/h × 6/60 = 0.2 km = 200 m. So distance reduces from 300 m → 100 m. Option 4.
Q27.The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan²A + cos²C?
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: D. Option 4
Per docx answer key, option 4.
Q28.If θ = 60°, then Sin θ + Cos(90 − θ) = _______.
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: B. Option 2
Sin 60° + Cos 30° = √3/2 + √3/2 = √3. Per docx, option 2.
Q29.Evaluate the given expression.
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: A. Option 1
Per docx answer key, option 1.
Q30.The average weight of Rohan and his three friends is 62 kg. If Rohan's weight is 8 kg more than the average weight of his three friends, what is Rohan's weight (in kg)?
- A.68
- B.60
- C.65
- D.72
Show answer
Answer: A. 68
Total = 248. Let friends' avg = x. So 3x + (x + 8) = 248 → 4x = 240 → x = 60. Rohan = 68. Option 1.

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Frequently Asked Questions

How many SSC Selection Post Quantitative Aptitude previous year questions are available?

510 Quantitative Aptitude questions from past SSC Selection Post papers are available on AajExam, split into 51 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 SSC Selection Post repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Quantitative Aptitude 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 SSC Selection Post 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.

SSC Selection Post Quantitative Aptitude practice sets

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

About SSC Selection Post Quantitative Aptitude previous year questions

Quantitative Aptitude PYQs asked in SSC Selection Post

Q1.The ratio of cheese to sauce for a single pizza is 1 cup to 1/2 cup. If Rama used 15 cups of sauce to make a number of pizzas, then how many cups of cheese did she use on those pizzas?

Q2.What would be the simple interest (in ₹) on principal amount of ₹1 lakh for 2 years at the rate of 12 percent per annum?

Q4.Answer based on the figure shown.

Q5.A trader marked a table at ₹37,062, and sold it allowing a 33% discount. If his profit was 42%, then the cost price (in ₹) of the table was:

Q6.If the volume of a cube is given as 12167 cm³, then the surface area of the cube will be:

Q7.What is the side of a cube (in metres) in which an iron rod of maximum length 10 metres can be put?

Q8.Let M denote the mean proportional between 16 and 9 and let N denote the third proportional of 9 and 15. Find the value of 5M + 3N.

Q9.The average weight of 10 parcels is 28.6 kg. The addition of a new parcel reduces the average weight by 0.6 kg. What is the weight (in kg) of the new parcel?

Q10.Ramu can build a wall alone in 15 days, while Ravan can build it alone in 10 days. Ramu worked for 5 days. Then Ravan joined Ramu for the next 3 days. How many more days could Ramu take to build the remaining wall?

Q11.A, B and C can do the same work in 9 days, 12 days and 18 days, respectively. A started the work and worked for 3 days and left. Then, B joined the work and worked for 3 days and left. Then, C joined the work and completed the work. Find the number of days C took to complete the work.

Q12.Which of the following in NOT a criterion of congruent triangles?

Q13.The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:

Q14.By selling a hair oil product for ₹336, the gain is 12%. If the gain is reduced to 9%, find the resultant selling price (in ₹).

Q15.The price of an item is increased by 15% and then the price is decreased by 12%. What is the effective percentage increase in the price of the item?

Q16.Evaluate the given expression.

Q17.Select the correct statement about the properties of a triangle.

Q18.If 72 * 72 is divisible by 9, the missing * digit will be:

Q19.Evaluate the given expression.

Q20.PQR and ABC are two congruent triangles. If the area of PQR is 225 cm², then the area of ABC is:

Q21.Simplify the expression: 15×15×15 + 3×15×12×12 − 3×15×15×12 − 12×12×12

Q22.Suresh invested a certain sum of money at 5% per annum simple interest. If he receives an interest of ₹69,687 after 15 years, the sum (in ₹) he invested is:

Q23.The strength of a school increases and decreases every alternate year by 20%. It started with an increase in 2018. What is the strength of the school at the start of 2021 as compared to that of 2018?

Q24.Evaluate the given expression.

Q25.A vendor buys 20 laptop bags for ₹13,000 and sells them at 15 for ₹10,125. How many laptop bags should be bought and sold to earn a profit of ₹3,225?

Q26.A policeman notices a thief from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speeds of 10 km/h and 12 km/h, respectively. What will be the distance between them (in m) after 6 minutes?

Q27.The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan²A + cos²C?

Q28.If θ = 60°, then Sin θ + Cos(90 − θ) = _______.

Q29.Evaluate the given expression.

Q30.The average weight of Rohan and his three friends is 62 kg. If Rohan's weight is 8 kg more than the average weight of his three friends, what is Rohan's weight (in kg)?

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