IBM Aptitude Test Pattern, Topics, and 5 Worked Problems (2026)

IBM’s written test for freshers runs 18 questions in 38 minutes across two sections. The format is lean: it penalises slow topic switching more than it rewards breadth.

Note before you start: the IBM verbal section (Business Communication Test) is a separate assessment with its own question format. The guide here covers quantitative ability and reasoning only. For the BCT, see the IBM Business Communication Test guide.

Test Structure at a Glance

Section	Questions	Topics
Quantitative Ability	~10	Arithmetic, number series, time-speed-distance, probability, data interpretation
Reasoning Skills	~8	Analogies, letter/number series, puzzles, blood relations, coding-decoding
Total	18	38-minute time limit

The question split is approximate and can shift between drives. No fixed published breakdown is available from IBM directly.

Quantitative Ability: Topics and Patterns

IBM’s quant section tests five topic clusters:

• Arithmetic: percentage, profit and loss, discount, simple and compound interest. Questions typically involve two-step calculations — find the selling price, then derive cost or profit.
• Number series: identify the rule in a sequence of numbers and supply the missing term. Rules range from alternating differences to squared increments.
• Time, speed, and distance: relative motion, average speed, and catch-up problems. Expect at least one problem where two people or vehicles travel at different speeds and you find when they meet or the total distance.
• Probability: mostly single-event and two-event problems using dice, cards, or balls from a bag. The dice-sum variant appears regularly.
• Data interpretation: one or two questions built around a table or bar chart. The data is simple; the trap is misreading the scale.

All five topics appear in IBM’s historical papers. Time-and-work problems from the arithmetic cluster have appeared in multiple drives and are worth drilling separately.

Reasoning Skills: Topics and Patterns

IBM’s reasoning section covers five areas:

• Number and letter series: find the missing element in a pattern. Hybrid series (alternating letters and numbers) appear occasionally.
• Analogies: word-pair and number-pair analogies. The relationship is usually one step (synonym, antonym, part-whole, cause-effect).
• Puzzles: seating arrangement, ordering, and linear arrangement problems. Usually one or two, with two sub-questions each.
• Blood relations: family tree problems requiring you to trace a described relationship and identify who is related to whom.
• Coding-decoding: a word or number is encoded using a rule; apply the same rule to a new input.

Reasoning questions in IBM papers tend to be straightforward. The difficulty is time pressure, not conceptual complexity. Practising untimed first and then under strict time limits is more effective than practising only at speed.

5 Practice Questions with Verified Solutions

All five problems are independently re-derived. Problem 4 replaces the original IBM paper question, which had a mismatch between its stated solution and its answer options.

Problem 1: Work and Time (Typing Report)

• Question: Rs 20 is paid for typing a research report. Typist A produces 42 pages and Typist B produces 28 pages. How much should Typist A receive?
• Options: A) Rs 12 B) Rs 15 C) Rs 20 D) Rs 16
• Step 1: Total pages = 42 + 28 = 70
• Step 2: A’s share = 20 × (42/70) = 20 × (3/5) = Rs 12
• Answer: Rs 12 (Option A)

Problem 2: Speed, Time, and Distance

• Question: A man reaches his office 2 hours late travelling at 50 km/hr. At 60 km/hr he is only 1 hour late. What is the distance to his office?
• Options: A) 310 km B) 300 km C) 200 km D) 205 km
• Step 1: Let distance = d km. Then d/50 = t + 2 and d/60 = t + 1, where t is the correct travel time.
• Step 2: Subtract the two equations: d/50 - d/60 = 1
• Step 3: d × (6 - 5)/300 = 1, so d = 300 km
• Answer: 300 km (Option B)

Problem 3: Probability (Two Dice, Sum of 10 or 11)

• Question: Two dice are thrown simultaneously. What is the probability that the total is 10 or 11?
• Options: A) 1/4 B) 1/6 C) 7/12 D) 5/36
• Step 1: Total outcomes = 6 × 6 = 36
• Step 2: Outcomes summing to 10: (4,6), (5,5), (6,4) = 3 pairs
• Step 3: Outcomes summing to 11: (5,6), (6,5) = 2 pairs
• Step 4: Favourable outcomes = 3 + 2 = 5
• Step 5: Probability = 5/36
• Answer: 5/36 (Option D)

Problem 4: Discount and Profit (Corrected Version)

The original paper question had no valid answer among its listed options (the derived cost price of Rs 321.43 did not match any of the four choices). The problem below is a corrected variant testing the same concept.

• Question: A book has a marked price of Rs 480. A bookseller gives a 25% discount and still earns a 20% profit. What is the cost price?
• Options: A) Rs 280 B) Rs 300 C) Rs 320 D) Rs 360
• Step 1: Selling price = 480 × (1 - 0.25) = 480 × 0.75 = Rs 360
• Step 2: CP × (1 + 0.20) = 360, so CP = 360 / 1.20 = Rs 300
• Answer: Rs 300 (Option B)

Problem 5: Printer Timing

• Question: Printer A prints 8,192 characters per minute and starts at 7:15 AM. Printer B prints 13,862 characters per minute and starts at 7:29 AM. At what time will both printers have printed the same total number of characters?
• Options: A) 7:43 AM B) 7:47 AM C) 7:48 AM D) 7:49 AM
• Step 1: Printer A has a 14-minute head start over Printer B.
• Step 2: Let t = minutes after 7:29 AM when both totals are equal.
• Step 3: 8,192 × (14 + t) = 13,862 × t
• Step 4: 114,688 + 8,192t = 13,862t → 114,688 = 5,670t → t ≈ 20.2 minutes
• Step 5: 7:29 AM + 20 minutes = 7:49 AM
• Answer: 7:49 AM (Option D)

IBM Recruitment: What Comes After the Aptitude Test

IBM’s campus selection for freshers typically runs three rounds (full drive details at IBM India Careers):

• Round 1 — Online Aptitude Test: The 18-question, 38-minute test described above. Clearing this moves you to Round 2.
• Round 2 — Technical Interview: Questions on data structures, algorithms, and one or two programming problems. Interviewers also ask about your final-year project and any internship work. Explaining what you built, and how, matters as much as the DSA answers.
• Round 3 — HR Interview: Communication skills, work preferences, relocation flexibility, and a personality check for cultural fit. IBM values collaborative problem-solving; asking questions about the role is expected.

How to Prepare

Two tracks, depending on your timeline:

Six weeks or more:

• Spend two weeks on arithmetic and number series (the fastest wins). IBM quant questions rarely involve more than two steps.
• Spend one week on probability — dice, cards, and balls-in-bags problems share the same underlying structure once you see it.
• Spend one week on reasoning, especially series and coding-decoding. Blood-relation problems are rare but worth one day’s practice.
• Reserve the final two weeks for timed full-length mock tests. IBM’s 38-minute window means roughly 2 minutes per question on average; track which question types eat your time.

Three weeks or less:

• Prioritise time-speed-distance and work-time problems (highest-return topics per session).
• Do one dice-and-cards probability set per day — pattern recognition builds quickly.
• Run five full timed mocks in the final week. Check accuracy, not just time.

For a broader view of aptitude tests across companies, the Mu Sigma aptitude guide covers a different question style that sharpens your pattern-recognition for multi-company drives. The campus placement evaluation test overview gives a cross-company benchmark for where your current score stands.

Clearing the IBM aptitude test gets you to the technical interview. That round rewards candidates who have built something real, not just studied it. TinkerLLM at ₹299 gives you a working LLM environment where you can ship a small project before the interview, turning “I know how this works” into “here’s a GitHub link.” That’s a different conversation with an interviewer.