- No data uploaded
- Instant results
CAT Mock Test
A timed 25-question mock for the Common Admission Test covering percentages, ratio, ages & mixtures, time, work & pipes, algebra, geometry & mensuration, data interpretation, verbal reasoning & analogies. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
CAT mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
-
Q1.PercentagesWhat is 20% of 860?
Answer: B — 172
20% of 860 = 20/100 × 860 = 172.
-
Q2.Ratio, Ages & MixturesIn what ratio must rice at ₹90/kg be mixed with rice at ₹140/kg to get a mixture worth ₹130/kg?
Answer: D — 1:4
Alligation: (dearer − mean) : (mean − cheaper) = (140 − 130) : (130 − 90) = 10:40 = 1:4.
-
Q3.Time, Work & PipesA can finish a job in 20 days and B in 30 days. Working together, how long will they take?
Answer: D — 12 days
Work per day = 1/20 + 1/30 = 50/600; together = 600/50 = 12 days.
-
Q4.AlgebraFind the sum of the first 12 terms of the AP 2, 3, 4, …
Answer: D — 90
Sₙ = n/2 × [2a + (n − 1)d] = 12/2 × [4 + 11] = 90.
-
Q5.Geometry & MensurationFind the volume of a cylinder with radius 3.5 cm and height 15 cm (take π = 22/7).
Answer: D — 577.5 cm³
Using πr²h with π = 22/7: 577.5 cm³.
-
Q6.Data InterpretationSales (units): 2021: 850 · 2022: 550 · 2023: 860 · 2024: 830 · 2025: 530. What was the percentage change in 2023 over 2022?
Answer: A — 56.36%
Change = 860 − 550 = 310; ÷ 550 × 100 = 56.36%.
-
Q7.Verbal Reasoning & AnalogiesWhich is the correct order? 1. Seed 2. Fruit 3. Plant 4. Flower
Answer: D — 1, 3, 4, 2
Seed → plant → flower → fruit.
-
Q8.PercentagesThe price of an item changes from ₹775 to ₹930. What is the percentage change?
Answer: D — 20% increase
Change = 155 on a base of 775: 155/775 × 100 = 20% increase. Always divide by the ORIGINAL value.
-
Q9.Ratio, Ages & MixturesIn what ratio must rice at ₹50/kg be mixed with rice at ₹110/kg to get a mixture worth ₹80/kg?
Answer: C — 1:1
Alligation: (dearer − mean) : (mean − cheaper) = (110 − 80) : (80 − 50) = 30:30 = 1:1.
-
Q10.Time, Work & PipesPipe A fills a tank in 6 hours and pipe B empties it in 9 hours. If both are opened, the tank fills in:
Answer: A — 18 hours
Net rate = 1/6 − 1/9 = 3/54 of the tank per hour → 54/3 = 18 hours.
-
Q11.AlgebraFind log 100 (base 10).
Answer: C — 2
log_10(100) asks “10 to what power gives 100?” → 10^2 = 100, so the answer is 2.
-
Q12.Geometry & MensurationFind the distance between (0, 5) and (8, 20).
Answer: A — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
-
Q13.Data InterpretationSales (units): 2021: 570 · 2022: 680 · 2023: 230 · 2024: 800 · 2025: 690. What was the percentage change in 2025 over 2024?
Answer: B — -13.75%
Change = 690 − 800 = -110; ÷ 800 × 100 = -13.75%.
-
Q14.Verbal Reasoning & AnalogiesFind the next number in the series: 4, 9, 16, 25, 36, ?
Answer: C — 49
Squares of consecutive numbers: 2², 3², … → 7² = 49.
-
Q15.PercentagesWhat is 25% of 220?
Answer: C — 55
25% of 220 = 25/100 × 220 = 55.
-
Q16.Ratio, Ages & MixturesIn what ratio must rice at ₹60/kg be mixed with rice at ₹90/kg to get a mixture worth ₹80/kg?
Answer: D — 1:2
Alligation: (dearer − mean) : (mean − cheaper) = (90 − 80) : (80 − 60) = 10:20 = 1:2.
-
Q17.AlgebraSolve: x + 2y = 34 and 5x + 3y = 86
Answer: C — x = 10, y = 12
Elimination/substitution gives x = 10, y = 12. Check: 1(10) + 2(12) = 34 ✓ and 5(10) + 3(12) = 86 ✓.
-
Q18.Geometry & MensurationFind the distance between (-2, -5) and (3, 7).
Answer: A — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
-
Q19.Data InterpretationSales (units): 2021: 550 · 2022: 620 · 2023: 340 · 2024: 640 · 2025: 860. What was the percentage change in 2022 over 2021?
Answer: D — 12.73%
Change = 620 − 550 = 70; ÷ 550 × 100 = 12.73%.
-
Q20.Verbal Reasoning & AnalogiesStatements: Some pens are books. All books are pages. Conclusion I: Some pens are pages. II: All pages are pens.
Answer: A — Only I follows
The pens that are books are also pages, so some pens are pages (I). II cannot be concluded.
-
Q21.PercentagesTwo successive discounts of 25% and 12% are equivalent to a single discount of:
Answer: D — 34%
Net discount = a + b − ab/100 = 25 + 12 − 25×12/100 = 34%.
-
Q22.Ratio, Ages & Mixtures₹2,100 is divided between A and B in the ratio 6:1. What is B’s share?
Answer: D — ₹300
Total parts = 6 + 1 = 7; one part = 2,100/7 = 300; second share = 1 × 300 = ₹300.
-
Q23.Time, Work & PipesPipe A fills a tank in 8 hours and pipe B empties it in 12 hours. If both are opened, the tank fills in:
Answer: C — 24 hours
Net rate = 1/8 − 1/12 = 4/96 of the tank per hour → 96/4 = 24 hours.
-
Q24.Geometry & MensurationFind the distance between (-4, 1) and (2, 9).
Answer: D — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
-
Q25.Data InterpretationSales (units): 2021: 900 · 2022: 810 · 2023: 240 · 2024: 830 · 2025: 360. What was the percentage change in 2023 over 2022?
Answer: B — -70.37%
Change = 240 − 810 = -570; ÷ 810 × 100 = -70.37%.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (many Indian exams deduct ¼ or ⅓ of a mark — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
About CAT
Common Admission Test — conducted by Indian Institutes of Management (convening IIM rotates). The entrance exam for IIM MBA programmes, with VARC, DILR and Quantitative Ability sections.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
CAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Time, Work & Pipes | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |