CoCubes Aptitude Questions 2026: Numerical Reasoning Practice Set

CoCubes aptitude tests draw questions from five topic clusters: number systems and averages, time and work, profit and loss, mixtures and alligation, and data interpretation. Knowing which templates repeat across drives, and practicing them to the point where the setup is automatic, is the most direct path to clearing the quantitative section.

This article covers 20 verified numerical reasoning questions in CoCubes’ format, with full step-by-step solutions. For the full test structure and section timing, the CoCubes syllabus and test pattern guide covers the test architecture. Logical reasoning and verbal practice live in the CoCubes logical reasoning practice set; for tech-role drives with a coding component, see CoCubes coding questions.

CoCubes Aptitude Test: What the Quantitative Section Covers

CoCubes, now part of the HirePro campus hiring suite, is used by mid-size IT companies and services firms for campus hiring. The platform lets companies configure which sections appear and how long each runs, so the exact structure varies by drive. The standard quantitative section draws questions from six topic clusters.

Topic cluster	Subtopics covered
Number Systems and Arithmetic	LCM, HCF, number series, averages, ratio and proportion
Time and Work	Work efficiency, pipe and cistern, work and wages
Time, Speed, and Distance	Trains, boats, relative speed
Profit, Loss, and Interest	Marked price, discount, simple interest, compound interest
Mixtures and Alligation	Weighted averages, mixing solutions, metal alloys
Data Interpretation	Tables, bar charts, pie charts, line graphs

Most standard drives allocate 18 to 22 questions for the quantitative section. Standard configurations do not apply negative marking, which means the correct strategy is always to attempt every question. Leave nothing blank.

The five sections below work through one topic cluster at a time. Questions follow CoCubes’ standard four-option format; solutions show the working step by step.

Number Systems, Averages, and Ratio Questions

These are the baseline question types. Number series and averages appear in nearly every CoCubes drive; ratio and proportion questions frequently appear in combined form with LCM or HCF applications.

Q1: Number Series

• Problem: Find the missing number in the sequence: 2, 6, 12, 20, ?, 42
• Options: A) 28 B) 30 C) 32 D) 34
• Answer: B) 30
• How to solve: Calculate the differences between consecutive terms: 4, 6, 8, 10, 12. The differences increase by 2 each step. Next difference = 10. Missing number = 20 + 10 = 30.

Q2: Averages

• Problem: The average of 5 numbers is 27. When one number is removed, the average of the remaining 4 becomes 25. What is the removed number?
• Options: A) 30 B) 33 C) 35 D) 37
• Answer: C) 35
• How to solve: Sum of 5 numbers = 5 × 27 = 135. Sum of remaining 4 = 4 × 25 = 100. Removed number = 135 - 100 = 35.

Q3: Ratio and Proportion

• Problem: The ratio of A to B is 3:4, and B to C is 5:6. Find A:B:C.
• Options: A) 15:20:24 B) 12:16:20 C) 9:12:16 D) 3:4:6
• Answer: A) 15:20:24
• How to solve: Scale A:B to get a common B. A:B = 3:4 = 15:20. B:C = 5:6 = 20:24. Therefore A:B:C = 15:20:24.

Q4: LCM Application

• Problem: Three bells ring at intervals of 6, 8, and 12 minutes. They all ring together at 12:00 noon. When will they next all ring together?
• Options: A) 12:24 B) 12:36 C) 12:48 D) 1:00 PM
• Answer: A) 12:24
• How to solve: LCM(6, 8, 12). Prime factorisation: 6 = 2 × 3, 8 = 2 × 2 × 2, 12 = 2 × 2 × 3. LCM = 2 × 2 × 2 × 3 = 24. All three bells ring together again 24 minutes after noon, at 12:24.

Time, Work, and Speed Questions

Work and rate problems are among the most-tested types in CoCubes drives. The core formula: if a worker completes a job in N days, their rate is 1/N of the job per day. Pipe and cistern problems follow the same logic, with filling pipes adding to the rate and draining pipes subtracting.

Q5: Two Workers Together

• Problem: A can complete a job in 10 days. B can do the same job in 15 days. How many days will they take to finish it together?
• Options: A) 5 B) 6 C) 8 D) 12
• Answer: B) 6
• How to solve: A’s daily rate = 1/10. B’s daily rate = 1/15. Combined rate = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. Together they finish the job in 6 days.

Q6: Three Workers Together

• Problem: A, B, and C can each complete a job in 12, 15, and 20 days respectively. How many days do all three need working together?
• Options: A) 5 B) 6 C) 7 D) 8
• Answer: A) 5
• How to solve: Combined rate = 1/12 + 1/15 + 1/20 = 5/60 + 4/60 + 3/60 = 12/60 = 1/5. Together they complete the job in 5 days.

Q7: Pipe and Cistern

• Problem: Pipe A fills a tank in 20 minutes. Pipe B drains the same tank in 30 minutes. If both pipes are open simultaneously, how long will it take to fill the tank?
• Options: A) 45 min B) 50 min C) 60 min D) 70 min
• Answer: C) 60 min
• How to solve: Net fill rate = 1/20 - 1/30 = 3/60 - 2/60 = 1/60 per minute. Tank fills in 60 minutes.

Q8: Train Speed Conversion

• Problem: A train 200 metres long passes a stationary pole in 10 seconds. What is the speed of the train in km/h?
• Options: A) 54 B) 60 C) 72 D) 80
• Answer: C) 72
• How to solve: Speed = 200 metres / 10 seconds = 20 m/s. Convert to km/h: 20 × (18/5) = 72 km/h.

Percentages, Profit, Loss, and Interest Questions

This cluster typically accounts for the highest share of questions in CoCubes’ quantitative section. The five templates below: basic profit percentage, marked price with discount, simple interest, compound interest, and percentage change, between them cover the vast majority of what appears.

Q9: Basic Profit Percentage

• Problem: A shopkeeper buys an item at ₹800 and sells it at ₹1000. What is the profit percentage?
• Options: A) 20% B) 25% C) 15% D) 30%
• Answer: B) 25%
• How to solve: Profit = 1000 - 800 = 200. Profit% = (200/800) × 100 = 25%.

Q10: Marked Price with Discount

• Problem: A store marks an article at ₹1200 and offers a 15% discount. What is the selling price?
• Options: A) ₹960 B) ₹1000 C) ₹1020 D) ₹1080
• Answer: C) ₹1020
• How to solve: Selling price = 1200 × (85/100) = 1200 × 0.85 = ₹1020.

Q11: Simple Interest

• Problem: Find the simple interest on ₹5000 at 6% per annum for 3 years.
• Options: A) ₹600 B) ₹700 C) ₹800 D) ₹900
• Answer: D) ₹900
• How to solve: SI = (P × R × T) / 100 = (5000 × 6 × 3) / 100 = ₹900.

Q12: Compound Interest

• Problem: What is the compound interest on ₹10000 for 2 years at 10% per annum, compounded annually?
• Options: A) ₹2000 B) ₹2100 C) ₹1900 D) ₹2200
• Answer: B) ₹2100
• How to solve: Amount after 2 years = 10000 × (1 + 0.10)^2 = 10000 × 1.21 = ₹12100. CI = ₹12100 - ₹10000 = ₹2100.

Q13: Percentage Decrease

• Problem: A product’s price drops from ₹500 to ₹400. What is the percentage decrease?
• Options: A) 15% B) 20% C) 25% D) 30%
• Answer: B) 20%
• How to solve: Decrease = 500 - 400 = 100. Percentage = (100/500) × 100 = 20%.

Mixtures, Alligation, and Probability Questions

Mixtures and alligation questions test the ability to find the proportion in which two ingredients need to be combined to reach a target concentration. The alligation method avoids simultaneous equations: the required ratio equals (Dearer concentration - Target) : (Target - Cheaper concentration), with the proportions swapped. Probability and permutation questions appear less frequently but reliably, typically one or two per drive.

Q14: Solution Mixing

• Problem: Solution A contains 75% milk. Solution B contains 25% milk. In what proportion must A and B be mixed to get a solution that is 50% milk?
• Options: A) 1:1 B) 1:2 C) 2:1 D) 3:1
• Answer: A) 1:1
• How to solve: Using alligation: (75 - 50) : (50 - 25) = 25 : 25 = 1:1. Equal parts of A and B produce 50% milk.

Q15: Metal Alloy Mixing

• Problem: Alloy A has a gold-to-copper ratio of 5:3. Alloy B has a gold-to-copper ratio of 5:11. Equal amounts of A and B are melted and mixed. What is the gold-to-copper ratio in the resulting alloy?
• Options: A) 15:17 B) 15:16 C) 10:11 D) 5:8
• Answer: A) 15:17
• How to solve: Gold fraction in A = 5/8. Gold fraction in B = 5/16. For one unit of each: total gold = 5/8 + 5/16 = 10/16 + 5/16 = 15/16. Total copper = 3/8 + 11/16 = 6/16 + 11/16 = 17/16. Gold-to-copper ratio = 15:17.

Q16: Basic Probability

• Problem: A bag contains 4 red balls and 6 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
• Options: A) 2/5 B) 3/5 C) 1/4 D) 3/10
• Answer: A) 2/5
• How to solve: Total balls = 10. Probability = 4/10 = 2/5.

Q17: Permutations

• Problem: In how many distinct ways can 4 students be arranged in a row for a photograph?
• Options: A) 12 B) 16 C) 24 D) 32
• Answer: C) 24
• How to solve: Arrangements of 4 distinct objects in a row = 4 factorial (4! = 4 × 3 × 2 × 1 = 24).

Data Interpretation: Reading Tables and Charts

Data interpretation questions in CoCubes give a table or chart followed by four to five sub-questions. The sub-questions test percentage change, totals, ratios, and averages based on the data. Three worked examples using the table below.

Region	Q1 (₹ lakh)	Q2 (₹ lakh)	Q3 (₹ lakh)	Q4 (₹ lakh)
North	40	50	60	50
South	30	40	50	60
East	20	30	40	50

Q18: Highest Annual Total

• Problem: Which region had the highest total sales across all four quarters?
• Options: A) North B) South C) East D) North and South equally
• Answer: A) North
• How to solve: North = 40 + 50 + 60 + 50 = 200. South = 30 + 40 + 50 + 60 = 180. East = 20 + 30 + 40 + 50 = 140. North had the highest total.

Q19: Half-Value Match

• Problem: In which quarter were East region’s sales exactly half of North’s sales in the same quarter?
• Options: A) Q1 B) Q2 C) Q3 D) Q4
• Answer: A) Q1
• How to solve: Q1: North = 40, half = 20. East = 20. Match. Q2: half of 50 = 25, East = 30. Q3: half of 60 = 30, East = 40. Q4: half of 50 = 25, East = 50. Only Q1 matches.

Q20: Growth Percentage

• Problem: By what percentage did South’s sales grow from Q1 to Q4?
• Options: A) 50% B) 75% C) 100% D) 150%
• Answer: C) 100%
• How to solve: Growth = 60 - 30 = 30. As a percentage of Q1 (30): (30/30) × 100 = 100%.

DI performance usually comes down to two habits: reading the chart before the questions (not simultaneously), and approximating where answer options are spread far apart. Exact arithmetic is rarely needed for multiple-choice DI. Practice reading different chart types (bar, pie, line, table) until extracting a quarterly total or year-on-year delta is instinctive.

The three questions above required totals, a ratio match, and a growth percentage; the three most common sub-question types in CoCubes DI. Practice until the setup for each is automatic; the arithmetic itself is simple once the structure is clear.

The DI questions above test the same mental model as reading an AI system’s output table and asking what the numbers actually mean: which quarterly metric changed, which region underperformed, which ratio holds. If you want to extend that structured-reasoning practice from aptitude prep into working with LLMs, TinkerLLM is the entry point at ₹299 for the self-paced plan.