Mckinsey 2026 aptitude
Quantitative, reasoning, and verbal drills with solutions
This page collects McKinsey placement papers from 2026 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.
Mckinsey 2026 aptitude
Quantitative, reasoning, and verbal drills with solutions
Mckinsey 2026 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
Timed placement-style MCQs with score and explanations after you submit. Use it to check speed and accuracy before the real test.
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%)
| 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
These are practice-style questions aligned to patterns students report for McKinsey drives around 2026. They are not leaked live papers. Work them timed, then read the solutions only after you have an answer.
Problem: If two ratios are 3:5 and 5:7, what is the compound ratio?
Solution: Compound ratio = (3/5) × (5/7) = 3/7, written as 3:7.
Answer: 3:7
Problem: Find simple interest on ₹5000 at 8% per annum for 3 years.
Solution: SI = 5000 × 8 × 3 / 100 = ₹1200.
Answer: ₹1200
Problem: A boat’s speed in still water is 15 km/h and the stream is 3 km/h. How long to cover 36 km upstream?
Solution: Upstream speed = 15 − 3 = 12 km/h. Time = 36 / 12 = 3 hours.
Answer: 3 hours
Problem: A mixture has milk and water in the ratio 4:1. If 5 litres of water are added to 20 litres of mixture, what is the new milk:water ratio?
Solution: In 20 L: milk = 16 L, water = 4 L. After adding 5 L water: milk 16, water 9. Ratio = 16:9.
Answer: 16:9
Problem: Find compound interest on ₹10,000 at 10% per annum for 2 years, compounded annually.
Solution: Amount = 10000 × (1.1)² = 10000 × 1.21 = ₹12,100. CI = 12100 − 10000 = ₹2100. (SI for same period would be ₹2000; the extra ₹100 is interest on first-year interest.)
Answer: ₹2100
Problem: What is the angle between the hour and minute hands at 3:00?
Solution: At 3:00 the hands are exactly 90° apart (one quarter of the circle).
Answer: 90°
Problem: In how many ways can 5 different books be arranged on a shelf?
Solution: Arrangements of 5 distinct items = 5! = 120.
Answer: 120
Problem: If the sum of three consecutive integers is 72, what is the smallest of these integers?
Solution: Let the integers be x, x+1, and x+2.
x + (x+1) + (x+2) = 72 3x + 3 = 72 3x = 69 x = 23
So the integers are 23, 24, and 25.
Answer: 23
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
Problem: Book is to Reading as Fork is to ?
Solution: A book is used for reading; a fork is used for eating.
Answer: Eating
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
Problem: If CAT is coded as DBU, how is DOG coded in the same way?
Solution: Each letter moves +1 in the alphabet: C→D, A→B, T→U. D→E, O→P, G→H → EPH.
Answer: EPH
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.
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.
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.
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.
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.
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.
Problem: Given coin denominations and an amount, return the fewest coins needed to make that amount, or -1 if it is impossible.
Approach: Unbounded knapsack DP: let dp[x] be the minimum coins for amount x. For each coin, update dp[c..amount]. Initialize dp[0] = 0 and the rest to a large sentinel.
Complexity: O(amount × coins)
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.
Problem: Given a sorted array of distinct integers and a target, return the index of target or -1 if missing.
Approach: Maintain lo/hi. Compare mid with target and shrink the half that cannot contain it. Careful with overflow-free mid and empty arrays.
Complexity: O(log 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.
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.
| 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 |