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Mckinsey Aptitude Questions

Overview

This page has McKinsey aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the McKinsey Solve / PST. Start with the timed mock quiz, then work the solved set and log every miss by topic.

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

Mckinsey aptitude topics students usually practice

  • Numerical / quantitative: percentages, profit and loss, ratios, time and work, averages, SI/CI, speed-distance
  • Logical reasoning: series, coding-decoding, blood relations, seating, syllogisms
  • Verbal ability: grammar, vocabulary, error spotting, idioms

Numerical ability questions

Q1: Relative speed trains

Problem: Two trains 120 m and 180 m long run at 40 and 50 km/h in opposite directions. Time to cross?

Solution: Relative speed = 90 km/h = 25 m/s. Distance = 300 m. Time = 12 s.

Answer: 12 seconds

Q2: LCM HCF product

Problem: Two numbers have HCF 12 and LCM 180. If one number is 36, find the other.

Solution: Product of numbers = HCF × LCM. 36 × other = 12 × 180 = 2160. Other = 2160 / 36 = 60.

Answer: 60

Q3: Mixture milk

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

Q4: Consumption cut

Problem: If the price of an item rises by 25%, by what percent should consumption fall so that expenditure stays the same?

Solution: Required reduction = r/(100+r) × 100 with r = 25. = 25/125 × 100 = 20%.

Answer: 20%

Q5: 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

Q6: Consecutive integers

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

Q7: Unitary rice

Problem: 12 kg rice costs ₹540. Cost of 8 kg?

Solution: Per kg = 45. 8 kg = ₹360.

Answer: ₹360

Q8: Percentage of percentage

Problem: What is 15% of 20% of 400?

Solution: 20% of 400 = 80. 15% of 80 = 12.

Answer: 12

Q9: Square garden path

Problem: A square park of side 40 m has a 2 m wide path outside. Area of the path?

Solution: Outer side = 44. Outer area = 1936. Inner = 1600. Path = 336 m².

Answer: 336 m²

Q10: Algebra ages

Problem: Father is 3 times as old as son. After 12 years he will be twice as old. Son’s present age?

Solution: 3x + 12 = 2(x + 12) → 3x + 12 = 2x + 24 → x = 12.

Answer: 12 years

Verbal ability questions

Q11: Error spotting tense

Problem: Identify the error: He go to school yesterday.

Solution: Past time marker needs past tense: went.

Answer: go → went

Q12: Fill in the blank

Problem: She _____ to the office every day by metro. (go / goes / going / gone)

Solution: Third-person singular present needs ‘goes’.

Answer: goes

Q13: One word - bibliophile

Problem: A person who loves books is called a?

Solution: Bibliophile.

Answer: Bibliophile

Q14: One word - extinct

Problem: A species that no longer exists is?

Solution: Extinct.

Answer: Extinct

Q15: Fill blank preposition

Problem: She is good _____ mathematics. (in / at / on / of)

Solution: Standard collocation: good at.

Answer: at

Q16: Fill blank article

Problem: He is _____ honest man. (a / an / the / no article)

Solution: ‘Honest’ begins with vowel sound → an.

Answer: an

Reasoning ability questions

Q17: 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

Q18: Cause effect

Problem: Cause: Heavy rain overnight. Which is a likely effect?

Solution: Waterlogging / traffic delays are likely effects.

Answer: Waterlogging / delays

Q19: Seating circular

Problem: Four people sit around a square table facing center. A sits opposite C. If B is left of A, who is right of C?

Solution: Opposite pairs A-C. B left of A means clockwise B. Right of C is B.

Answer: B

Q20: Direction turn

Problem: A person walks 5 km north, then 3 km east, then 5 km south. How far is he from the start, and in which direction?

Solution: North 5 and south 5 cancel. He is 3 km east of the start.

Answer: 3 km east

Q21: Mirror clock

Problem: A clock shows 3:15. What is the mirror image time approximately (12-hour mirror)?

Solution: Mirror of h:m is roughly 12:00 − 3:15 → 8:45.

Answer: 8:45

Q22: Blood uncle

Problem: A is B’s brother. C is A’s mother. D is C’s father. How is B related to D?

Solution: D is C’s father; C is mother of A and B. B is D’s grandchild.

Answer: Grandchild

Timed practice tips for Mckinsey

  1. First pass: only high-confidence questions
  2. Mark and skip time sinks early
  3. Keep verbal accuracy high - these are easy marks if you stay calm
  4. Run the mock quiz at least three times a week under real timing
  5. Sleep properly the night before; fatigue hurts DI and calculation accuracy

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