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SSC Selection Post (Higher Secondary Level) Quantitative Aptitude — Previous Year Questions

330 Quantitative Aptitude questions asked in past SSC Selection Post (Higher Secondary Level) papers, split into 33 timed practice sets — every question with its answer and explanation.

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About SSC Selection Post (Higher Secondary Level) Quantitative Aptitude previous year questions

This page collects every Quantitative Aptitude question that has appeared in past SSC Selection Post (Higher Secondary Level) papers on AajExam — 330 questions in total, organised into 33 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 (Higher Secondary Level): 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 (Higher Secondary Level) 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 (Higher Secondary Level) previous-year papers are linked below as well.

Quantitative Aptitude PYQs asked in SSC Selection Post (Higher Secondary Level)

A sample of 30 questions from the full bank of 330. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.Refer to the image for the percentage question.
- A.0.67%
- B.0.57%
- C.0.78%
- D.0.87%
Show answer
Answer: C. 0.78%
Per response sheet, option 3 (0.78%).
Q2.A 15% discount is allowed by a tradesman. How much above the cost price (in percentage) must he mark his goods so as to gain 19%?
- A.32%
- B.40%
- C.35%
- D.47%
Show answer
Answer: B. 40%
MP = CP × 1.19/0.85 = 1.40·CP. So mark 40% above CP.
Q3.Rahul can complete a work in 12 days and Ayush in 15 days. If they work together for 3 days, then the fraction of work that will be left is:
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: B. Option 2
Together rate = 1/12 + 1/15 = 9/60 = 3/20 per day. In 3 days = 9/20. Left = 11/20. Per response sheet, option 2.
Q4.The longest chord of a circle is equal to:
- A.three times the radius
- B.two times the diameter
- C.two times the radius
- D.the radius
Show answer
Answer: C. two times the radius
The longest chord is the diameter, which equals 2 × radius.
Q5.Refer to the image for the country/data question.
- A.Country D
- B.Country A
- C.Country B
- D.Country C
Show answer
Answer: D. Country C
Per response sheet, option 4 (Country C).
Q6.Rohan spends 24% of an amount of money on an insurance policy, 36% on food, 18% on children's education and 14% on recreation. He deposits the remaining amount of Rs.504 in the bank. What is the total amount that he spends on food and insurance policy together?
- A.Rs.3,708
- B.Rs.3,087
- C.Rs.3,870
- D.Rs.3,780
Show answer
Answer: D. Rs.3,780
Saved = 100−92 = 8% = 504 ⇒ Total = ₹6,300. Food+Insurance = 60% = ₹3,780.
Q7.The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder was 4.5 cm, then the height of the cone is:
- A.15 cm
- B.1.5 cm
- C.13.5 cm
- D.45 cm
Show answer
Answer: C. 13.5 cm
Equal volume: πr²·h_cyl = (1/3)πr²·h_cone ⇒ h_cone = 3 × 4.5 = 13.5 cm.
Q8.A person buys a table fan for Rs.1,800 and sells it at a loss of 25%. What is the selling price of the table fan?
- A.Rs.1,400
- B.Rs.1,450
- C.Rs.1,300
- D.Rs.1,350
Show answer
Answer: D. Rs.1,350
SP = 1800 × (1 − 0.25) = 1800 × 0.75 = ₹1,350.
Q9.If 608xy0 is divisible by both 3 and 11, the nonzero digit in the hundred's place and ten's places, respectively, are:
- A.5 and 6
- B.5 and 8
- C.8 and 5
- D.6 and 5
Show answer
Answer: C. 8 and 5
Test x=8, y=5: digit sum = 6+0+8+8+5+0 = 27 (div by 3 ✓); alt sum from right = 0−5+8−8+0−6 = −11 (div by 11 ✓).
Q10.Refer to the image for the question.
- A.4454
- B.5461
- C.4265
- D.5405
Show answer
Answer: A. 4454
Per response sheet, option 1 (4454).
Q11.Figure-based (algebraic value).
- A.4
- B.1
- C.8
- D.2
Show answer
Answer: C. 8
Per response sheet, option 3 (8).
Q12.What sum of money amounts to Rs. 2,600 in 2 years and to Rs. 2,700 in 3 years at a fixed rate of simple interest annually?
- A.Rs. 2,300
- B.Rs. 2,200
- C.Rs. 2,600
- D.Rs. 2,400
Show answer
Answer: D. Rs. 2,400
Annual SI = 2700 − 2600 = 100. P = 2600 − 200 = Rs. 2,400. Option 4.
Q13.Answer based on the figure shown.
- A.155
- B.45
- C.150
- D.40
Show answer
Answer: A. 155
Per response sheet (unattempted), default option 1 (155).
Q14.Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: A. Option 1
Nidhi's time = 22 / 1.28 ≈ 17.19 days. Per response sheet, option 1.
Q15.A varies directly with B. When A = 52, B = 91. Find the value of A when B = 126.
- A.76
- B.84
- C.72
- D.70
Show answer
Answer: C. 72
A/B constant = 52/91 = 4/7. A = 4×126/7 = 72. Option 3.
Q16.What is the selling price of a calculator if a shopkeeper allows two successive discounts of 7% each on its marked price of Rs.500?
- A.Rs.430.25
- B.Rs.440.85
- C.Rs.435.00
- D.Rs.432.45
Show answer
Answer: D. Rs.432.45
500 × 0.93 × 0.93 = 432.45. Option 4.
Q17.The average score in a test for 50 students is 44. Out of the total students, 40% of the students are girls and the rest are boys. The average score of boys is 20% less than that of girls. What is the average score of girls?
- A.50
- B.54
- C.48
- D.52
Show answer
Answer: A. 50
Let girls' avg = g. Boys' avg = 0.8g. (20g + 30×0.8g)/50 = 44 → 44g/50 = 44 → g = 50. Option 1.
Q18.Mohan divides 18935 by a certain number. If the quotient and the remainder he gets are 102 and 65, respectively, then the divisor is:
- A.155
- B.165
- C.175
- D.185
Show answer
Answer: D. 185
Divisor = (18935 − 65)/102 = 18870/102 = 185. Option 4.
Q19.If 4 tan A = 3, then cos²A − sin²A equals:
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: B. Option 2
tan A = 3/4 → sin A = 3/5, cos A = 4/5. cos²A − sin²A = 16/25 − 9/25 = 7/25. Per response sheet, option 2.
Q20.Mohan purchases a table at an MRP of ₹800, at a discount of 10%. If he sells it at ₹900, then the profit percentage is:
- A.20% profit
- B.25% profit
- C.15% profit
- D.30% profit
Show answer
Answer: B. 25% profit
CP = 800 × 0.9 = 720. Profit = 180/720 × 100 = 25%. Option 2.
Q21.What would be the simple interest on principle amount of ₹2 lakh for 3 years at a rate of 8% per annum?
- A.Option 1
- B.Option 2
- C.Option 3
- D.Option 4
Show answer
Answer: B. Option 2
SI = 200000 × 8 × 3/100 = 48000. Per response sheet, option 2.
Q22.Simplify 52 × 52 − 48 × 48.
- A.386
- B.400
- C.424
- D.326
Show answer
Answer: B. 400
52² − 48² = (52+48)(52−48) = 100 × 4 = 400. Option 2.
Q23.A sum of Rs.84,000 is deposited in a bank on simple interest at the rate of 15% for the period of 3 years. How much Simple Interest (in Rs.) will be received?
- A.Rs.37,800
- B.Rs.38,700
- C.Rs.37,200
- D.Rs.39,800
Show answer
Answer: A. Rs.37,800
SI = 84000 × 15 × 3 / 100 = 37800. Option 1.
Q24.If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution?
- A.14.28%
- B.15.48%
- C.12.38%
- D.13.36%
Show answer
Answer: A. 14.28%
(36×0.20 + 48×0.10)/(36+48) = (7.2+4.8)/84 = 12/84 = 14.28%. Option 1.
Q25.A silver puja thali set marked at ₹10,000 is sold with two successive discounts of 10% and 5%. An additional 5% discount is offered if the payment is made in cash mode. Find the selling price of the article on cash payment.
- A.8,212.50
- B.8,122.50
- C.8,100.50
- D.8,200.50
Show answer
Answer: B. 8,122.50
10000 × 0.9 × 0.95 × 0.95 = 8122.50. Option 2.
Q26.The distance between two places is 1200 km. To cover this distance, a person X takes 5 hours lesser than another person Y, whose average speed is 40 km/h lesser than that of X. The time taken by Y to complete the travel is:
- A.16 hours
- B.14 hours
- C.18 hours
- D.15 hours
Show answer
Answer: D. 15 hours
Let X's speed = s. 1200/(s-40) − 1200/s = 5 → s² − 40s − 9600 = 0 → s = 120. Y's time = 1200/80 = 15 h. Option 4.
Q27.A sells an article to B at a gain of 16%, B sells it to C at a loss of 15%, and C sells it to D at a gain of 20%. If the difference between the profits earned by C and A is ₹248, then the loss (in ₹) incurred by B is:
- A.1250
- B.1075
- C.1160
- D.1025
Show answer
Answer: C. 1160
Let A's CP = x. A profit = 0.16x. C's CP = 0.986x → C profit = 0.1972x. Diff = 0.0372x = 248 → x ≈ 6667. B's loss = 0.15×1.16x ≈ 1160. Option 3.
Q28.Melting a hemisphere of radius 7 cm, four small identical spheres are made. What is the radius of these spheres?
- A.3 cm
- B.3.5 cm
- C.4 cm
- D.4.5 cm
Show answer
Answer: B. 3.5 cm
(2/3)π(7)³ = 4×(4/3)πr³ → r³ = 7³/8 = 42.875 → r = 3.5. Option 2.
Q29.Answer based on the figure shown.
- A.2
- B.0
- C.1
- D.3
Show answer
Answer: A. 2
Per response sheet, option 1 (default).
Q30.Which of the following is NOT divisible by 4?
- A.67547172
- B.56783294
- C.73568916
- D.80936292
Show answer
Answer: B. 56783294
Check last 2 digits: 72÷4 ✓, 94÷4 ✗, 16÷4 ✓, 92÷4 ✓. So 56783294 not div by 4. Option 2.

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How many SSC Selection Post (Higher Secondary Level) Quantitative Aptitude previous year questions are available?

330 Quantitative Aptitude questions from past SSC Selection Post (Higher Secondary Level) papers are available on AajExam, split into 33 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 (Higher Secondary Level) 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 (Higher Secondary Level) 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 (Higher Secondary Level) Quantitative Aptitude practice sets

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

About SSC Selection Post (Higher Secondary Level) Quantitative Aptitude previous year questions

Quantitative Aptitude PYQs asked in SSC Selection Post (Higher Secondary Level)

Q1.Refer to the image for the percentage question.

Q2.A 15% discount is allowed by a tradesman. How much above the cost price (in percentage) must he mark his goods so as to gain 19%?

Q3.Rahul can complete a work in 12 days and Ayush in 15 days. If they work together for 3 days, then the fraction of work that will be left is:

Q4.The longest chord of a circle is equal to:

Q5.Refer to the image for the country/data question.

Q6.Rohan spends 24% of an amount of money on an insurance policy, 36% on food, 18% on children's education and 14% on recreation. He deposits the remaining amount of Rs.504 in the bank. What is the total amount that he spends on food and insurance policy together?

Q7.The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder was 4.5 cm, then the height of the cone is:

Q8.A person buys a table fan for Rs.1,800 and sells it at a loss of 25%. What is the selling price of the table fan?

Q9.If 608xy0 is divisible by both 3 and 11, the nonzero digit in the hundred's place and ten's places, respectively, are:

Q10.Refer to the image for the question.

Q11.Figure-based (algebraic value).

Q12.What sum of money amounts to Rs. 2,600 in 2 years and to Rs. 2,700 in 3 years at a fixed rate of simple interest annually?

Q13.Answer based on the figure shown.

Q14.Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:

Q15.A varies directly with B. When A = 52, B = 91. Find the value of A when B = 126.

Q16.What is the selling price of a calculator if a shopkeeper allows two successive discounts of 7% each on its marked price of Rs.500?

Q17.The average score in a test for 50 students is 44. Out of the total students, 40% of the students are girls and the rest are boys. The average score of boys is 20% less than that of girls. What is the average score of girls?

Q18.Mohan divides 18935 by a certain number. If the quotient and the remainder he gets are 102 and 65, respectively, then the divisor is:

Q19.If 4 tan A = 3, then cos²A − sin²A equals:

Q20.Mohan purchases a table at an MRP of ₹800, at a discount of 10%. If he sells it at ₹900, then the profit percentage is:

Q21.What would be the simple interest on principle amount of ₹2 lakh for 3 years at a rate of 8% per annum?

Q22.Simplify 52 × 52 − 48 × 48.

Q23.A sum of Rs.84,000 is deposited in a bank on simple interest at the rate of 15% for the period of 3 years. How much Simple Interest (in Rs.) will be received?

Q24.If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution?

Q25.A silver puja thali set marked at ₹10,000 is sold with two successive discounts of 10% and 5%. An additional 5% discount is offered if the payment is made in cash mode. Find the selling price of the article on cash payment.

Q26.The distance between two places is 1200 km. To cover this distance, a person X takes 5 hours lesser than another person Y, whose average speed is 40 km/h lesser than that of X. The time taken by Y to complete the travel is:

Q27.A sells an article to B at a gain of 16%, B sells it to C at a loss of 15%, and C sells it to D at a gain of 20%. If the difference between the profits earned by C and A is ₹248, then the loss (in ₹) incurred by B is:

Q28.Melting a hemisphere of radius 7 cm, four small identical spheres are made. What is the radius of these spheres?

Q29.Answer based on the figure shown.

Q30.Which of the following is NOT divisible by 4?

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