Mckinsey 2025 aptitude
Quantitative, reasoning, and verbal drills with solutions
Mckinsey Placement Papers 2025
Overview
This page collects McKinsey placement papers from 2025 with practice questions, worked solutions, and the exam pattern students reported that cycle. Use it when you want drive history: what the first round looked like, which topics repeated, and how to approach solutions. Work the sets below under a timer, then compare with newer material so your prep matches both established McKinsey patterns and recent shifts.
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Mckinsey 2025 coding
DSA practice aligned to McKinsey online assessments
Mckinsey interview experience
Round structure and tips from student reports
Mckinsey prep guide
Study plan and weekly schedule
McKinsey Aptitude Mock Quiz
Timed placement-style MCQs with score and explanations after you submit. Use it to check speed and accuracy before the real test.
Questions15
Time10 min
Verbal
Antonym of "Optimistic":
Optimistic ↔ pessimistic.
Reasoning
Statements: 1. All green are blue, 2. All blue are white
From "All green are blue": Some blue are green (I follows) Combined: All green are white, so Some white are green (II follows) and Some green are white (III follows) IV does not follow
Quantitative
Find the error: "The team of players are ready for the match."
"Team" is a collective noun treated as singular, so "is" should be used instead of "are".
Reasoning
Statements: All engineers are professionals. Some professionals are managers. Conclusions: I. Some engineers are managers. II. All managers are engineers.
Analyzing the statements: - All engineers are professionals (A → B) - Some professionals are managers (B → C, some) Conclusion I: Some engineers are managers - Since all engineers are professionals, and some professionals are managers, we can say some engineer
Quantitative
What is 15% of 240?
15% of 240 = 0.15 × 240 = 36.
Reasoning
Arrange in dictionary order: Apple, Apply, Apt, Apex. Third word is:
Order: Apex, Apple, Apply, Apt → third is Apply.
Quantitative
The following table shows the sales of a company over 5 years. If the total sales in 2020 was ₹50,000, and sales increased by 20% each year, find the sales in 2024.
Sales in 2020 = ₹50,000 Sales in 2021 = 50,000 × 1.2 = ₹60,000 Sales in 2022 = 60,000 × 1.2 = ₹72,000 Sales in 2023 = 72,000 × 1.2 = ₹86,400 Sales in 2024 = 86,400 × 1.2 = ₹103,680
Reasoning
All cats are dogs. Some dogs are rats. Conclusions: I. Some cats are rats. II. Some rats are dogs.
II follows from "some dogs are rats". I does not necessarily follow.
Quantitative
A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?
Let Principal = P, Amount = 2P Interest = 2P - P = P SI = P × R × T / 100 P = P × R × 8 / 100 1 = 8R / 100 R = 100/8 = 12.5%
Verbal
Choose correct: The news _____ good.
"News" is singular → is.
Reasoning
Find the next number: 2, 6, 12, 20, 30, ?
Differences +4, +6, +8, +10, +12 → next is 42.
Verbal
Read the passage and answer: "Artificial Intelligence is transforming industries by automating processes and enabling data-driven decisions. However, concerns about job displacement and ethical implications remain significant." What is the main concern mentioned?
Correct answer: Job displacement and ethical implications
Verbal
The manager was _____ with the team's performance and decided to reward them.
Correct answer: pleased
Quantitative
If 20% of a number is 48, the number is:
Number = 48 × 100/20 = 240.
Quantitative
The ratio of two numbers is 3:4. If their sum is 84, find the numbers.
Let the numbers be 3x and 4x Sum = 3x + 4x = 7x = 84 x = 12 Numbers = 3(12) = 36 and 4(12) = 48
Your score
0/15(0%)
Review
Mckinsey exam pattern 2025
| Section | What shows up | Prep focus |
|---|---|---|
| Aptitude / logical | Quant, reasoning, sometimes verbal | Timed sectional accuracy |
| Coding / programming logic | Easy-medium DSA or output-style MCQs | Handle tricky inputs |
| Technical interview | OOPs, DBMS, OS, projects | Explain aloud |
| HR | Fit, location, intent | A few real examples ready |
First round: McKinsey Solve / PST
Skills emphasized: Case interviews, PST/Solve, communication
Languages: N/A (analyst); tech tracks differ
Sample Mckinsey questions with solutions
These are practice-style questions aligned to patterns students report for McKinsey drives around 2025. They are not leaked live papers. Work them timed, then read the solutions only after you have an answer.
Quantitative aptitude (2025)
Q1: Three workers
Problem: A finishes work in 12 days, B in 15 days, and C in 20 days. Working together, how many days do they need?
Solution: Take total work = LCM(12,15,20) = 60 units. A = 5/day, B = 4/day, C = 3/day. Combined = 12 units/day. Time = 60/12 = 5 days.
Answer: 5 days
Q2: Age ratio
Problem: The ratio of ages of A and B is 3:5. After 8 years the ratio becomes 5:7. Find A’s present age.
Solution: Let ages be 3x and 5x. (3x+8)/(5x+8) = 5/7 7(3x+8) = 5(5x+8) 21x + 56 = 25x + 40 4x = 16 → x = 4 A’s age = 12 years.
Answer: 12 years
Q3: Pipe fill
Problem: Pipe A fills a tank in 6 hours and pipe B in 8 hours. How long do they take together to fill it?
Solution: Combined rate = 1/6 + 1/8 = 4/24 + 3/24 = 7/24. Time = 24/7 hours ≈ 3 hours 26 minutes.
Answer: 24/7 hours
Q4: Simple interest
Problem: Find the simple interest on ₹8000 at 10% per annum for 2 years.
Solution: SI = (P × R × T) / 100 = (8000 × 10 × 2) / 100 = ₹1600.
Answer: ₹1600
Q5: Percentage recover
Problem: If 30% of a number is 150, what is the number?
Solution: 0.3x = 150 → x = 150 / 0.3 = 500.
Answer: 500
Q6: Average after replace
Problem: The average of five numbers is 20. One number 30 is replaced by 10. What is the new average?
Solution: Old sum = 5 × 20 = 100. New sum = 100 − 30 + 10 = 80. New average = 80 / 5 = 16.
Answer: 16
Q7: Series n(n+1)
Problem: Find the next term: 2, 6, 12, 20, 30, ?
Solution: Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7. Next = 6 × 7 = 42.
Answer: 42
Q8: Deck probability
Problem: What is the probability of drawing an ace from a standard 52-card deck?
Solution: There are 4 aces in 52 cards. Probability = 4/52 = 1/13.
Answer: 1/13
Logical reasoning (2025)
Q1: Series multiply
Problem: Find the next number: 3, 9, 27, 81, ?
Solution: Each term is multiplied by 3. Next = 81 × 3 = 243.
Answer: 243
Q2: Seating hint
Problem: Five friends sit in a row. A is to the left of B but right of C. D is to the right of B and left of E. Who is in the middle?
Solution: Order from left to right: C, A, B, D, E. The middle seat is B.
Answer: B
Q3: Analogy
Problem: Book is to Reading as Fork is to ?
Solution: A book is used for reading; a fork is used for eating.
Answer: Eating
Q4: Odd one out
Problem: Find the odd one out: 3, 5, 7, 9, 11
Solution: 3, 5, 7, and 11 are prime. 9 = 3×3 is composite, so it is the odd one out.
Answer: 9
Coding practice (2025)
Coding Q1: Check prime
Problem: Write a function that returns true if n is prime and false otherwise. Handle n < 2 correctly.
Approach: Return false for n < 2. Trial-divide from 2 to floor(sqrt(n)). If any divisor divides n evenly, it is composite; otherwise prime.
Complexity: O(√n) time
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q2: Valid parentheses
Problem: Given a string containing only ‘()[]’, decide whether the brackets are balanced and correctly nested.
Approach: Scan left to right with a stack. Push opening brackets. On a closing bracket, the stack top must be the matching opener. At the end the stack must be empty.
Complexity: O(n) time, O(n) space
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q3: Two Sum
Problem: Given an array of integers and a target, return indices of two numbers that add up to the target. Assume exactly one solution and you may not use the same element twice.
Approach: Walk the array once. For each value x, check whether target − x was seen earlier in a hash map of value → index. If yes, return both indices; else store x.
Complexity: O(n) time, O(n) space
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q4: Longest substring without repeating characters
Problem: Given a string s, find the length of the longest substring without repeating characters. Example: ‘abcabcbb’ → 3 (‘abc’).
Approach: Sliding window with a map (or last-seen index) of characters. Expand the right pointer; when a duplicate appears inside the window, move the left pointer past the previous occurrence.
Complexity: O(n) time
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q5: Merge overlapping intervals
Problem: Given a list of intervals [start, end], merge all overlapping intervals and return the non-overlapping set that covers the same ranges.
Approach: Sort by start time. Walk once, merging into the last interval in the result when the next start is ≤ current end; otherwise append a new interval.
Complexity: O(n log n) time from the sort
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q6: Top K frequent elements
Problem: Given an integer array and an integer k, return the k most frequent elements. Order among equals can be arbitrary unless the problem says otherwise.
Approach: Count frequencies with a hash map, then use a heap of size k (or bucket sort by frequency) to extract the top k keys.
Complexity: O(n log k) with a heap
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q7: Linked list cycle
Problem: Given the head of a linked list, return true if there is a cycle and false otherwise.
Approach: Floyd’s tortoise and hare: move one pointer one step and another two steps. If they meet, a cycle exists. If the fast pointer hits null, there is no cycle.
Complexity: O(n) time, O(1) space
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Coding Q8: Binary tree level order
Problem: Given the root of a binary tree, return the level-order traversal (breadth-first) as a list of levels.
Approach: Use a queue. For each level, drain the current queue size, collect values, and enqueue children for the next level.
Complexity: O(n) time, O(n) space
McKinsey tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Deep prep notes for Mckinsey
How the Mckinsey solve / pst usually feels
Students usually say the first round is time-tight - easy marks vanish if you sit too long on one hard question. For McKinsey, skim the paper in a couple of minutes, mark what you can finish cleanly, and protect accuracy. Languages people commonly use: N/A (analyst); tech tracks differ.
Topic weight hints
| Area | Why it matters at McKinsey |
|---|---|
| Case interviews | What usually helps you clear the first round |
| Core CS (OOPs / DBMS / OS) | Technical interview depth |
| Management Consulting awareness | Helps in managerial / HR conversations |
| Communication | Explain your approach clearly; keep a few real examples ready for HR |
14-Day sprint
- Days 1-3: Learn the 2025 pattern and take two sectional mocks
- Days 4-7: Closed practice on weak topics from your error log
- Days 8-10: Full mocks every other day; review the same day
- Days 11-14: Practice explaining projects out loud, light revision, sleep and IDs ready