Previous year questions · SSC CHSL Tier-I

SSC CHSL Tier-I Quantitative Aptitude — Previous Year Questions

Q: How many SSC CHSL Tier-I Quantitative Aptitude previous year questions are available?

420 Quantitative Aptitude questions from past SSC CHSL Tier-I papers are available on AajExam, split into 42 practice sets. New questions are added as fresh papers are released.

Q: 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.

Q: Do SSC CHSL Tier-I 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.

Q: How should I use these questions in my SSC CHSL Tier-I 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.

420 Quantitative Aptitude questions asked in past SSC CHSL Tier-I papers, split into 42 timed practice sets — every question with its answer and explanation.

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About SSC CHSL Tier-I Quantitative Aptitude previous year questions

This page collects every Quantitative Aptitude question that has appeared in past SSC CHSL Tier-I papers on AajExam — 420 questions in total, organised into 42 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 CHSL Tier-I: 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 CHSL Tier-I 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 CHSL Tier-I previous-year papers are linked below as well.

Quantitative Aptitude PYQs asked in SSC CHSL Tier-I

A sample of 30 questions from the full bank of 420. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.Find diagonal of rectangle (21, 20).
- A.58
- B.18
- C.36
- D.29
Show answer
Answer: D. 29
√(21²+20²)=29.
Q2.Interior angle 108° more than exterior → find sides.
- A.10
- B.12
- C.15
- D.18
Show answer
Answer: A. 10
n = 10.
Q3.Volume of sphere (diameter 21 cm).
- A.4851
- B.3628
- C.3071
- D.3724
Show answer
Answer: A. 4851
Volume = 4851 cm³.
Q4.Find value of (1/3 – sec 45°)^3.
- A.(4−√3)/2
- B.(√6−1)/√3
- C.(1−3√2)/3
- D.(√2−1)/√2
Show answer
Answer: C. (1−3√2)/3
Correct simplified form matches option 3.
Q5.If sec A = 5/3, find cosec C in right triangle.
- A.5/3
- B.3/4
- C.4/5
- D.4/3
Show answer
Answer: A. 5/3
cosec C = 5/3.
Q6.Calculate the value of x if (given equation).
- A.(15/17)
- B.(something)
- C.(something)
- D.(something)
Show answer
Answer: A. (15/17)
From simplification → x = 15/17.
Q7.Find unit digit: (153)^144 – (115)^123 – (111)^510 + (216)^25
- A.1
- B.5
- C.6
- D.3
Show answer
Answer: A. 1
Final unit digit = 1.
Q8.Solve equation: 4x–1 · 9^{2x–6} = 5184
- A.2
- B.3
- C.4
- D.6
Show answer
Answer: C. 4
x = 4.
Q9.If S + 1/S = 4, find S² + 1/S²
- A.14
- B.16
- C.20
- D.24
Show answer
Answer: A. 14
Value = 14.
Q10.The tangent at any point of a circle is ____ to radius.
- A.parallel
- B.intersecting
- C.perpendicular
- D.equal
Show answer
Answer: C. perpendicular
Tangent ⟂ radius.
Q11.Some persons went on an outstation tour. The histogram shows their ages. How many persons are less than 20 years of age?
- A.18
- B.22
- C.31
- D.25
Show answer
Answer: B. 22
Counting persons in age groups < 20 (0-5: 6, 5-10: 7, 10-15: 7, 15-20: 2 — per histogram): total 22.
Q12.What is the compound interest (in Rs) on a sum of Rs 46,000 for 2 2/5 years at 15% per annum, interest being compounded annually (nearest to a Rs)?
- A.18,458
- B.19,458
- C.19,485
- D.18,485
Show answer
Answer: D. 18,485
For 2 years: A = 46000 × (1.15)² = 60835. For remaining 2/5 year: × (1 + 0.15×2/5) = × 1.06 → final ≈ 64,485. CI ≈ 18,485.
Q13.If tan 3θ = sin 45°·cos 45° + cos 60° and 3θ is an acute angle, then what will be the value of sin 4θ?
- A.√2
- B.√3/2
- C.1/2
- D.1
Show answer
Answer: B. √3/2
sin 45·cos 45 = 1/2, cos 60 = 1/2. tan 3θ = 1 → 3θ = 45° → θ = 15°. sin 4θ = sin 60° = √3/2.
Q14.By selling an article for Rs 3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8%?
- A.Rs 3,180
- B.Rs 3,200
- C.Rs 3,240
- D.Rs 3,250
Show answer
Answer: C. Rs 3,240
CP = 3150/1.05 = 3000. SP at 8% profit = 3000 × 1.08 = Rs 3,240.
Q15.Study the given graph and answer the question that follows. Production (in lakh tonnes) of paper by two companies A and B during 2014 to 2019. The total production of paper by company B in 2015 and 2017 to 2019 was what percentage less than 90% of the total production of paper by company A in 2014 to 2019 (correct to one decimal place)?
- A.17.5%
- B.21.2%
- C.22.4%
- D.19.6%
Show answer
Answer: A. 17.5%
From graph values: B (2015+2017+2018+2019) and 90% × A (2014..2019). Computing percentage less yields 17.5%.
Q16.What is the value of the following? −15 + 90 ÷ [89 − {9 × 8 + (33 − 3 × 7)}]
- A.5
- B.2
- C.3
- D.4
Show answer
Answer: C. 3
= −15 + 90 ÷ [89 − {72 + 12}] = −15 + 90 ÷ [89 − 84] = −15 + 90 ÷ 5 = −15 + 18 = 3.
Q17.Richa travels from A to B at the speed of 15 km/h, from B to C at 20 km/h, and from C to D at 30 km/h. If AB = BC = CD, then find Richa's average speed.
- A.18 km/h
- B.17 km/h
- C.20 km/h
- D.19 km/h
Show answer
Answer: C. 20 km/h
Let each leg = x. Total time = x/15 + x/20 + x/30 = (4x+3x+2x)/60 = 9x/60. Average = 3x ÷ 9x/60 = 20 km/h.
Q18.Ram sold a motorcycle for Rs 70000 at 25% profit. For what price should he sell a motorcycle to gain 30% profit?
- A.Rs 72,700
- B.Rs 72,900
- C.Rs 72,800
- D.Rs 72,600
Show answer
Answer: C. Rs 72,800
CP = 70000 × 100/125 = Rs 56000. New SP at 30% profit = 56000 × 130/100 = Rs 72,800.
Q19.The following graph gives the annual percent profit earned by a company during the period 1996-2001. Study the graph carefully and answer the question that follow. The period in which the profit of the company has increased fasted is :
- A.1998 - 1999
- B.2000 - 2001
- C.1997 - 1998
- D.1996 - 1997
Show answer
Answer: A. 1998 - 1999
From the graph, profit increase 1996-97 = 10, 1998-99 = 15, 1999-2000 = 10. So profit increased fastest in 1998-1999.
Q20.In the given figure, chords PQ and RS intersect each other at point L. Find the length of RL.
- A.3 cm
- B.6 cm
- C.8 cm
- D.2 cm
Show answer
Answer: B. 6 cm
When two chords intersect inside a circle, PL × LQ = RL × LS. Using the values from the figure: 9 × 4 = RL × 6 → RL = 6 cm.
Q21.In the given figure, BC is a chord and CD is a tangent through the point C. If ∠AOC = 118°, then find the ∠ACD.
- A.59°
- B.65°
- C.56°
- D.63°
Show answer
Answer: A. 59°
∠ABC = ½ × ∠AOC = ½ × 118° = 59° (angle at centre is twice the angle at circumference). By alternate segment theorem, ∠ACD = ∠ABC = 59°.
Q22.M is the circumcentre of ΔABC with circumradius 15 cm. Let BC = 24 cm and ML is perpendicular to BC. Then the length of ML is :
- A.9 cm
- B.12 cm
- C.8 cm
- D.10 cm
Show answer
Answer: A. 9 cm
ML, the perpendicular from circumcentre to chord BC, bisects BC. So BL = 12 cm. In ΔMLB: ML² = MB² − BL² = 15² − 12² = 81 → ML = 9 cm.
Q23.The average age of 25 men is 28 years. 5 new men of an average age of 25 years joined them. Find the average age of all the men together.
- A.27.5 years
- B.29.5 years
- C.26.5 years
- D.28.5 years
Show answer
Answer: A. 27.5 years
Combined mean = (25×28 + 5×25)/30 = (700+125)/30 = 825/30 = 27.5 years.
Q24.Which of the following option is completely divisible by 11?
- A.809781
- B.107611
- C.116571
- D.963391
Show answer
Answer: D. 963391
Apply alternating-digit-sum rule. 963391: (9+3+9) − (6+3+1) = 11, divisible by 11. None of the others give a multiple of 11.
Q25.If a + b + c = 2, 1/a + 1/b + 1/c = 0, ac = 1/4 (so abc = 4) and a³ + b³ + c³ = 28, find the value of a² + b² + c².
- A.8
- B.6
- C.10
- D.12
Show answer
Answer: A. 8
From 1/a+1/b+1/c = 0 ⇒ ab+bc+ca = 0. Using a³+b³+c³ − 3abc = (a+b+c)(a²+b²+c² − (ab+bc+ca)): 28 − 12 = 2(a²+b²+c²) ⇒ a²+b²+c² = 8.
Q26.If x − 2y = 3 and xy = 5, find the value of x² − 4y².
- A.22
- B.20
- C.23
- D.21
Show answer
Answer: D. 21
(x+2y)² = (x−2y)² + 8xy = 9 + 40 = 49 ⇒ x+2y = 7. So x²−4y² = (x+2y)(x−2y) = 7 × 3 = 21.
Q27.The following graph given the annual percent profit earned by a company during the period 1996-2001. Study the graph carefully and answer the questions that follow. The expenditure of the company during the year 1996 was Rs 30 crores. The income of the company in that year was (in crores Rs):
- A.43.5
- B.45
- C.44.5
- D.44
Show answer
Answer: A. 43.5
From graph, profit % in 1996 = 45%. Profit% = (Income − Expenditure)/Expenditure × 100. 45 = (Income − 30)/30 × 100 ⇒ Income − 30 = 13.5 ⇒ Income = 43.5 crores.
Q28.Rs 6,300 is divided between X, Y, Z, such that X:Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.
- A.Rs 1,800
- B.Rs 2,000
- C.Rs 2,200
- D.Rs 2,400
Show answer
Answer: B. Rs 2,000
X:Y = 28:20, Y:Z = 20:15 ⇒ X:Y:Z = 28:20:15. Sum = 63. Share of Y = 20/63 × 6300 = Rs 2,000.
Q29.If (cos θ + sin θ)/(cos θ − sin θ) = 8, then the value of cot θ is equal to:
- A.6/5
- B.9/7
- C.7/6
- D.8/7
Show answer
Answer: B. 9/7
Applying componendo-dividendo: (2 cos θ)/(2 sin θ) = (8+1)/(8−1) = 9/7 ⇒ cot θ = 9/7.
Q30.List the price of a bike is 15% more than its cost price. It is sold at a discount of 20%. Find the dealer's loss or profit percentage.
- A.Profit 8%
- B.Profit 9%
- C.Loss 9%
- D.Loss 8%
Show answer
Answer: D. Loss 8%
Let CP = 100. List price = 115. SP after 20% discount = 115 × 0.8 = 92. Loss = 100 − 92 = 8 → Loss 8%.

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SSC CHSL Tier-I syllabus & pattern Full SSC CHSL Tier-I question papers All Quantitative Aptitude practice

Frequently Asked Questions

How many SSC CHSL Tier-I Quantitative Aptitude previous year questions are available?

420 Quantitative Aptitude questions from past SSC CHSL Tier-I papers are available on AajExam, split into 42 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 CHSL Tier-I 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 CHSL Tier-I 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 CHSL Tier-I Quantitative Aptitude practice sets

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

About SSC CHSL Tier-I Quantitative Aptitude previous year questions

Quantitative Aptitude PYQs asked in SSC CHSL Tier-I

Q1.Find diagonal of rectangle (21, 20).

Q2.Interior angle 108° more than exterior → find sides.

Q3.Volume of sphere (diameter 21 cm).

Q4.Find value of (1/3 – sec 45°)^3.

Q5.If sec A = 5/3, find cosec C in right triangle.

Q6.Calculate the value of x if (given equation).

Q7.Find unit digit: (153)^144 – (115)^123 – (111)^510 + (216)^25

Q8.Solve equation: 4x–1 · 9^{2x–6} = 5184

Q9.If S + 1/S = 4, find S² + 1/S²

Q10.The tangent at any point of a circle is ____ to radius.

Q11.Some persons went on an outstation tour. The histogram shows their ages. How many persons are less than 20 years of age?

Q12.What is the compound interest (in Rs) on a sum of Rs 46,000 for 2 2/5 years at 15% per annum, interest being compounded annually (nearest to a Rs)?

Q13.If tan 3θ = sin 45°·cos 45° + cos 60° and 3θ is an acute angle, then what will be the value of sin 4θ?

Q14.By selling an article for Rs 3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8%?

Q16.What is the value of the following? −15 + 90 ÷ [89 − {9 × 8 + (33 − 3 × 7)}]

Q17.Richa travels from A to B at the speed of 15 km/h, from B to C at 20 km/h, and from C to D at 30 km/h. If AB = BC = CD, then find Richa's average speed.

Q18.Ram sold a motorcycle for Rs 70000 at 25% profit. For what price should he sell a motorcycle to gain 30% profit?

Q19.The following graph gives the annual percent profit earned by a company during the period 1996-2001. Study the graph carefully and answer the question that follow. The period in which the profit of the company has increased fasted is :

Q20.In the given figure, chords PQ and RS intersect each other at point L. Find the length of RL.

Q21.In the given figure, BC is a chord and CD is a tangent through the point C. If ∠AOC = 118°, then find the ∠ACD.

Q22.M is the circumcentre of ΔABC with circumradius 15 cm. Let BC = 24 cm and ML is perpendicular to BC. Then the length of ML is :

Q23.The average age of 25 men is 28 years. 5 new men of an average age of 25 years joined them. Find the average age of all the men together.

Q24.Which of the following option is completely divisible by 11?

Q25.If a + b + c = 2, 1/a + 1/b + 1/c = 0, ac = 1/4 (so abc = 4) and a³ + b³ + c³ = 28, find the value of a² + b² + c².

Q26.If x − 2y = 3 and xy = 5, find the value of x² − 4y².

Q27.The following graph given the annual percent profit earned by a company during the period 1996-2001. Study the graph carefully and answer the questions that follow. The expenditure of the company during the year 1996 was Rs 30 crores. The income of the company in that year was (in crores Rs):

Q28.Rs 6,300 is divided between X, Y, Z, such that X:Y = 7 : 5 and Y : Z = 4 : 3. Find the share of Y.

Q29.If (cos θ + sin θ)/(cos θ − sin θ) = 8, then the value of cot θ is equal to:

Q30.List the price of a bike is 15% more than its cost price. It is sold at a discount of 20%. Find the dealer's loss or profit percentage.

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SSC CHSL Tier-I Quantitative Aptitude practice sets

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