SET Quantitative Aptitude Questions PDF (2027) Topic-wise Practice with Solutions

Overview: The Symbiosis SET Quantitative Aptitude questions tests your numerical ability, logical thinking, and problem-solving speed through questions based on Class 10–12 Mathematics. 

How many Quantitative Aptitude questions are asked in SET 2027, and which topics should I prepare the most?

Download Free Study Materials for SET Exam 2027 by SuperGrads

While the syllabus is broad, a significant share of the questions comes from Arithmetic, making it the highest-priority area for preparation.

With no negative marking and an overall exam timer, success depends on selecting the right questions, applying formulas quickly, and maintaining accuracy throughout the section.

Most Important Symbiosis SET Quantitative Aptitude Questions 2027

Here is the list of the Quantitative Aptitude questions for the SET 2027 Exam:

SET Quantitative Aptitude Questions on Percentage

Here are the sample questions for SET Quantitative Aptitude:

Q1.  A shopkeeper marks the price of an article at 25% above the cost price and then offers a 10% discount. Find his profit percentage.

A) 10% 

B) 12.5%

C) 15% 

D) 20% 

Answer: B) 12.5%

 Explanation: Let CP = 100. Marked Price = 125. SP after 10% discount = 125 × 0.9 = 112.5. Profit = 12.5%.

Q2.  The population of a town increases by 10% in the first year and decreases by 10% in the second year. What is the net percentage change?

A) No change 

B) 1% increase 

C) 1% decrease 

D) 2% decrease 

Answer: C) 1% decrease 

Explanation: Let population = 100. After year 1 = 110. After year 2 = 110 × 0.9 = 99. Net change = −1%.

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Q3.  If 40% of a number is 96, what is 60% of the same number?

A) 120

B) 132

C) 144 

D) 156

 Answer: C) 144 

Explanation: 40% of x = 96 → x = 240. 60% of 240 = 144.

Profit & Loss – SET Quant Practice Questions

Q4.  A man buys an article for ₹800 and sells it for ₹960. Find his profit percentage. 

A) 15% 

B) 18% 

C) 20% 

D) 25% 

Answer: C) 20% 

Explanation: Profit = 960 − 800 = 160. Profit % = (160/800) × 100 = 20%.

Free BBA 2027 Study Material: Download Free Quantitative Ability Topic-Wise PDFs:

Topic	Download Link
Basic Algebra & Polynomials	Download Now
Combination	Download Now
Percentage	Download Now
Profit, Loss & Discount	Download Now
Ratio, Proportion, Variation & Partnership	Download Now
Average, Mixture & Alligation	Download Now
Simple & Compound Interest	Download Now
Time, Work, Pipes & Cisterns, Chain Rule	Download Now
Surds, Indices & Logarithms	Download Now
Set Theory	Download Now
Functions & Graphs	Download Now
Linear & Quadratic Equations	Download Now
Geometry & Mensuration	Download Now
Inequalities & Modulus	Download Now
Coordinate Geometry & Trigonometry	Download Now
Permutation & Combination	Download Now
Probability	Download Now
Progression (AP, GP, HP)	Download Now
Work & Time	Download Now
Matrices	Download Now
Miscellaneous Topics	Download Now
Basic Algebra – Linear Equations	Download Now
Fundamental Principle of Counting	Download Now
Geometry – Circles	Download Now
Logarithm	Download Now
Mean, Mode & Median	Download Now
Mensuration (2D & 3D)	Download Now
Number System & Factors	Download Now
Number Theory	Download Now
Time, Speed & Distance (Boats, Streams, Linear Motion)	Download Now

Q5.  By selling an item for ₹450, a shopkeeper incurs a loss of 10%. Find the cost price.

A) ₹480 

B) ₹495 

C) ₹500 

D) ₹520

 Answer: C) ₹500 

Explanation: SP = 90% of CP → 450 = 0.9 × CP → CP = 500.

Q6.  A trader marks his goods 40% above the cost price and allows a discount to earn a profit of 12%. Find the discount percentage.

A) 15% 

B) 18%

C) 20% 

D) 25% 

Answer: C) 20% 

Explanation: CP = 100, MP = 140. SP for 12% profit = 112. Discount = 140 − 112 = 28. Discount % = (28/140) × 100 = 20%.

SET Quant Questions on Simple & Compound Interest

Q7.  Find the Simple Interest on ₹5,000 at 8% per annum for 3 years. 

A) ₹1,000

B) ₹1,100

C) ₹1,200 

D) ₹1,300 

Answer: C) ₹1,200 

Explanation: SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1,200.

Q8.  Find the Compound Interest on ₹10,000 at 10% per annum for 2 years (compounded annually).

A) ₹2,000 

B) ₹2,050

C) ₹2,100 

D) ₹2,150 

Answer: C) ₹2,100 

Explanation: CI = P[(1+R/100)^T − 1] = 10,000 × (1.21 − 1) = 2,100.

Ratio & Proportion – SET Quantitative Aptitude Questions

Q9.  Divide ₹720 among A, B, and C in the ratio 2:3:4. Find the largest share.

A) ₹280 

B) ₹300 

C) ₹320 

D) ₹360 

Answer: C) ₹320 

Explanation: Total parts = 9. Each part = 720/9 = 80. Largest share = 4 × 80 = 320.

Q10.  If a:b = 3:4 and b:c = 8:9, find a:b:c. 

A) 3:4:9 

B) 6:8:9

C) 3:8:9

D) 6:4:9

 Answer: B) 6:8:9 

Explanation: Make b common: a:b = 3:4 = 6:8; b:c = 8:9. So a:b:c = 6:8:9.

Download SET 2026 Previous Year Question Paper (Test 2) — Free PDF

Average –SET Quantitative Aptitude Questions

Q11.  The average of 5 numbers is 20. If one of the numbers, 10, is replaced by 30, find the new average.

A) 22

B) 23 

C) 24

D) 25

 Answer: C) 24

 Explanation: Sum = 5 × 20 = 100. New sum = 100 − 10 + 30 = 120. New average = 120/5 = 24.

Q12.  The average age of 30 students in a class is 12 years. The average age of 10 teachers is 40 years. Find the average age of all of them together. 

A) 17 

B) 18 

C) 19 

D) 21 

Answer: C) 19 

Explanation: Total student age = 360. Total teacher age = 400. Combined total = 760. Total people = 40. Average = 760/40 = 19.

Read More : Paper pattern of the SET Exam 2027 Exam.

Time & Work SET Quantitative Aptitude Questions

Q13.  A can complete a work in 12 days and B in 15 days. In how many days will they finish the work together?

A) 6 days 

B) 6⅔ days 

C) 7 days 

D) 7½ days 

Answer: B) 6⅔ days

 Explanation: Combined rate = 1/12 + 1/15 = 9/60 = 3/20. Time = 20/3 = 6⅔ days.

Q14. A can do a piece of work in 10 days and B in 15 days. They work together for 4 days, after which A leaves. In how many more days will B finish the remaining work alone?

A) 3 days

B) 4 days

C) 5 days 

D) 6 days 

Answer: C) 5 days 

Explanation: Combined rate/day = 1/10 + 1/15 = 1/6. Work done in 4 days = 4/6 = 2/3. Remaining = 1/3. B's rate = 1/15 per day. Time = (1/3) ÷ (1/15) = 5 days.

SET Quant Questions: Time, Speed & Distance

Q15.  A train 120 m long crosses a pole in 10 seconds. Find its speed in km/hr. 

A) 36 km/hr 

B) 40 km/hr 

C) 43.2 km/hr 

D) 48 km/hr 

Answer: C) 43.2 km/hr 

Explanation: Speed = 120/10 = 12 m/s = 12 × 18/5 = 43.2 km/hr.

Q16.  Two trains of length 100 m and 150 m run in opposite directions at speeds of 30 m/s and 20 m/s respectively. Find the time taken to cross each other. 

A) 4 sec 

B) 5 sec 

C) 6 sec 

D) 7 sec 

Answer: B) 5 sec 

Explanation: Relative speed = 30 + 20 = 50 m/s. Total length = 250 m. Time = 250/50 = 5 sec.

Q17.  A man travels a distance of 60 km at 20 km/hr and returns at 30 km/hr. Find his average speed for the entire journey. 

A) 22 km/hr

B) 24 km/hr 

C) 25 km/hr 

D) 26 km/hr 

Answer: B) 24 km/hr 

Explanation: Average speed = 2xy/(x+y) = (2 × 20 × 30)/50 = 24 km/hr.

Mixture & Alligation –SET Quantitative Aptitude Questions

Q18. In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg to get a mixture worth ₹52/kg? 

A) 3:2

B) 2:3

C) 5:4

D) 4:5 

Answer: B) 2:3 

Explanation: By alligation: (60−52) : (52−40) = 8 : 12 = 2:3.

Ages – SET Quantitative Aptitude Questions

Q19.  A father is 3 times as old as his son. After 12 years, the father will be twice as old as his son. Find the present age of the son.

A) 10 years

B) 12 years 

C) 14 years 

D) 15 years 

Answer: B) 12 years 

Explanation: Let son = S, father = 3S. 3S + 12 = 2(S + 12) → 3S + 12 = 2S + 24 → S = 12.

Download SET 2026 Previous Year Question Paper (Test 1) — Free PDF

Q20.  The sum of the present ages of A and B is 45 years. Five years ago, A's age was 4 times B's age. Find their present ages. 

A) 30, 15 

B) 33, 12 

C) 35, 10 

D) 28, 17 

Answer: B) 33, 12 

Explanation: A + B = 45. (A−5) = 4(B−5) → A = 4B − 15. 

Substituting: 4B − 15 + B = 45 → B = 12, A = 33.

Number System – SET Quantitative Aptitude Questions

Q21. Find the remainder when 2^100 is divided by 7. 

A) 1 

B) 2 

C) 4 

D) 6

 Answer: B) 2 

Explanation: 2^3 = 8 ≡ 1 (mod 7). 100 = 3×33 + 1, so 2^100 ≡ 2^1 = 2 (mod 7).

Q22.  The sum of a number and its reciprocal is 2.5. Find the number. 

A) 1 

B) 1.5

C) 2 

D) 3 

Answer: C) 2 

Explanation: x + 1/x = 2.5 → 2x² − 5x + 2 = 0 → (2x−1)(x−2) = 0 → x = 2 or 0.5. Taking the whole number, x = 2.

Also Check: Best preparation books for the SET exam 2027 

Simplification Questions for SET Quant

Q23.  Simplify: 15 + [8 ÷ 2 × (3+1)] − 6 

A) 21

B) 23

C) 25

D) 27

 Answer: C) 25 

Explanation: 8 ÷ 2 = 4; 4 × 4 = 16. So 15 + 16 − 6 = 25.

Algebra – SET Quantitative Aptitude Practice Questions

Q24.  If x + y = 10 and xy = 21, find the value of x² + y². 

A) 52 

B) 55 

C) 58 

D) 60 

Answer: C) 58 

Explanation: x² + y² = (x+y)² − 2xy = 100 − 42 = 58.

Q25.  Solve for x: 2(x−3) + 4 = 3x − 5 

A) 1 

B) 2 

C) 3 

D) 4 

Answer: C) 3

 Explanation: 2x − 6 + 4 = 3x − 5 → 2x − 2 = 3x − 5 → x = 3.

Geometry & Mensuration – SET Quant Questions

Q26.  Find the area of a triangle with sides 5 cm, 12 cm, and 13 cm. 

A) 25 cm² 

B) 28 cm² 

C) 30 cm² 

D) 32 cm²

 Answer: C) 30 cm² 

Explanation: Since 5² + 12² = 13², it's a right triangle. Area = ½ × 5 × 12 = 30 cm².

Q27.  The circumference of a circle is 88 m. Find its area. (Use π = 22/7)

A) 588 m² 

B) 600 m² 

C) 616 m²

D) 625 m² 

Answer: C) 616 m² 

Explanation: 2πr = 88 → r = 14. Area = πr² = (22/7) × 196 = 616 m².

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Data Interpretation for SET Quantitative Aptitude

Q28.  Study the table showing annual revenue (in ₹ crore) of four companies:

Company	2024	2025
A	200	250
B	150	210
C	300	330
D	100	150

Which company recorded the highest percentage growth from 2024 to 2025? 

A) A 

B) B 

C) C

D) D 

Answer: D) D 

Explanation: Growth %: A = 25%, B = 40%, C = 10%, D = 50%. D has the highest growth.

Q29. A bar graph shows the number of students in five sections: A = 40, B = 55, C = 35, D = 60, E = 50. Find the average number of students per section. 

A) 44

B) 46

C) 48

D) 50

 Answer: C) 48 

Explanation: Sum = 40+55+35+60+50 = 240. Average = 240/5 = 48.

Probability – SET Quantitative Aptitude Questions

Q30.  A bag contains 5 red and 7 blue balls. One ball is drawn at random. Find the probability that it is red. 

A) 5/7

B) 5/12 

C) 7/12 

D) 1/2 

Answer: B) 5/12

 Explanation: Total balls = 12. P(red) = 5/12.

Q31. A card is drawn from a well-shuffled deck of 52 cards. Find the probability that it is a king or a queen. 

A) 1/13 

B) 2/13

C) 4/13 

D) 1/26 

Answer: B) 2/13 

Explanation: Kings = 4, Queens = 4, favourable = 8. P = 8/52 = 2/13.

Permutation & Combination – SET Quantitative Aptitude

Q32.  In how many ways can 5 students be arranged in a row? 

A) 60

B) 100

C) 120

D) 150 

Answer: C) 120. 

Explanation: Number of arrangements = 5! = 120.

Important Formulas to Solve Symbiosis SET Quantitative Aptitude Questions 2027

Here is the list of the important formulas for the SET 2027 Quantitative Aptitude Questions: 

Topic	Important Formulas
Percentage	• x% of y = (x/100) × y  • If A is x% more than B, then B is x/(100 + x) × 100% less than A.
Profit & Loss	• Profit % = (Profit ÷ Cost Price) × 100  • Loss % = (Loss ÷ Cost Price) × 100  • Selling Price (SP) = CP × (100 + Profit%)/100  • SP after Discount = MP × (100 − Discount%)/100
Simple & Compound Interest	• Simple Interest (SI) = (P × R × T)/100  • Compound Interest (CI) = P[(1 + R/100)T − 1] • Amount (CI) = P(1 + R/100)T
Ratio & Proportion	• If a : b = c : d, then ad = bc • To combine a : b and b : c, first make the common term (b) equal using the LCM.
Average	• Average = Sum of Observations ÷ Number of Observations
Time & Work	• If A completes a job in n days, then A's 1-day work = 1/n • Combined Work Rate = Sum of Individual Work Rates
Time, Speed & Distance	• Speed = Distance ÷ Time  • Average Speed (Equal Distances) = 2xy/(x + y) • km/hr → m/s = × 5/18 • m/s → km/hr = × 18/5 • Relative Speed: Opposite Directions = Sum of Speeds; Same Direction = Difference of Speeds
Mixture & Alligation	• Cheaper Quantity / Dearer Quantity = (Dearer Price − Mean Price) ÷ (Mean Price − Cheaper Price)
Number System	• HCF × LCM = Product of Two Numbers • Sum of First n Natural Numbers = n(n + 1)/2
Algebra	• (a + b)² = a² + 2ab + b² • (a − b)² = a² − 2ab + b² • a² − b² = (a + b)(a − b)
Mensuration	• Area of Triangle = ½ × Base × Height • Area of Circle = πr² • Circumference of Circle = 2πr  • Area of Rectangle = l × b  • Perimeter of Rectangle = 2(l + b)  • Volume of Cube = a³  • Volume of Cylinder = πr²h
Probability	• Probability = Number of Favourable Outcomes ÷ Total Number of Outcomes

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SET Quant vs IPMAT Quant 2027: How Do They Compare? 

Many SET aspirants also explore IPMAT as a backup or parallel option, so here's a quick reference:

Parameter	SET Quantitative Aptitude	IPMAT Quant
Difficulty	Moderate, Class 10–12	Moderate-to-Tough, includes SI (subjective) questions
Question Count	16 (MCQ only)	30–40 (MCQ + Short Answer)
Negative Marking	None	Yes, for MCQs
Time Pressure	High (shared 60-min pool)	Moderate (dedicated Quant time)
Core Focus	Arithmetic-heavy	Arithmetic + Algebra + Modern Maths

If you're targeting both exams, master Arithmetic first; it's the highest-yield overlap between the two syllabi.

Read More: Previous year's SET question papers

Conclusion

Preparing well for the SET Quantitative Aptitude section is less about learning difficult concepts and more about mastering the fundamentals, practising consistently, and improving your speed with regular mock tests.

Focus on high-weightage topics like Arithmetic, revise the essential formulas frequently, and analyse your mistakes after every practice session.

The Symbiosis SET Quantitative Aptitude questions shared in this guide are designed to help you understand the latest exam pattern and identify the areas that require more attention.

As you continue your preparation, make it a habit to solve more Quantitative Aptitude questions for SET under timed conditions to build both confidence and exam temperament.

Finally, don't stop at just one practice session. Regularly attempt SET Quantitative Aptitude sample questions, sectional tests, and full-length mock tests to improve your accuracy, time management, and overall score.

With the right strategy and consistent practice, you'll be well-prepared to ace the Quantitative Aptitude section and secure a competitive score in SET 2027.