Preparation guide
BCG Aptitude Questions
Overview
This page has BCG aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the BCG Online Case / Pymetrics variants. Start with the timed mock quiz, then work the solved set and log every miss by topic.
BCG 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
Problem: Choose the synonym for "Ephemeral": a) Eternal b) Transient c) Permanent d) Perpetual
"Ephemeral" means lasting for a very short time, temporary. "Transient" has the same meaning.
Quantitative
The square of 0.4 is:
0.4 × 0.4 = 0.16.
Verbal
Choose the correct preposition: The meeting will be held _____ 3 PM.
Correct answer: at
Reasoning
Statements: All cats are dogs. Some dogs are birds. Conclusions: I. Some cats are birds. II. All birds are cats.
Analyzing the statements: - All cats are dogs (A → B) - Some dogs are birds (B → C, some) Conclusion I: Some cats are birds - Since all cats are dogs, and some dogs are birds, we can say some cats are birds. Valid Conclusion II: All birds are cats - This canno
Quantitative
Find the remainder when 2^31 is divided by 5.
Pattern of 2^n mod 5: 2^1=2, 2^2=4, 2^3=3, 2^4=1, 2^5=2 (cycle repeats every 4) 31 mod 4 = 3 So 2^31 mod 5 = 2^3 mod 5 = 3
Reasoning
Arrange the words: 1. Elephant 2. Cat 3. Dog 4. Ant
Correct answer: 4, 2, 3, 1
Quantitative
If a number is increased by 20% and then decreased by 15%, what is the net change?
Correct answer: +2% increase
Quantitative
The average of 5 numbers is 42. If one number 32 is removed, the new average is:
Sum = 210. New sum = 178. Average = 178/4 = 44.5.
Verbal
Choose the correct form: "If I _____ rich, I would travel the world."
Second conditional uses "were" for all subjects (subjunctive mood).
Reasoning
Statements: All dogs are animals. Some animals are pets. Conclusion: Some dogs are pets.
No definite relation that dogs are pets.
Verbal
Antonym of "Artificial":
Artificial ↔ natural.
Reasoning
Odd one out: Square, Circle, Triangle, Cube
Cube is 3D; others are 2D shapes.
Quantitative
Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?
Let's break down the statement: - "His mother" = the man's mother - "only daughter of my mother" = the woman herself (since she's the only daughter) So: The man's mother = the woman Therefore, the woman is the mother of the man.
Quantitative
CP = ₹800, SP = ₹920. Profit %:
Profit 120 on 800 = 15%.
Reasoning
In a row of 40 students, A is 11th from left. Rank from right is:
From right = 40 − 11 + 1 = 30.
Your score
0/15(0%)
Review
BCG 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: SI three years
Problem: Find simple interest on ₹5000 at 8% per annum for 3 years.
Solution: SI = 5000 × 8 × 3 / 100 = ₹1200.
Answer: ₹1200
Q2: Man days leftover
Problem: 15 men can do a job in 20 days. After 5 days, 5 men leave. How many more days to finish?
Solution: Work done in 5 days = 15×5 = 75 man-days. Total = 300. Left = 225. Remaining men = 10. Days = 225/10 = 22.5 days.
Answer: 22.5 days
Q3: Geometry triangle
Problem: A right triangle has legs 6 and 8. Hypotenuse?
Solution: √(36+64)=√100=10.
Answer: 10
Q4: 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
Q5: Time and distance chase
Problem: A is 100 m ahead of B. A runs at 8 m/s and B at 10 m/s. How long until B catches A?
Solution: Relative speed = 2 m/s. Time = 100/2 = 50 seconds.
Answer: 50 seconds
Q6: Profit false weight
Problem: A seller uses 900 g weight for 1 kg and sells at cost price. Profit %?
Solution: Buys 900, sells as 1000 at CP. Profit = 100/900 × 100 ≈ 11.11%.
Answer: 11.11%
Q7: Marked price discount
Problem: A shopkeeper marks goods 20% above cost and then gives a 10% discount. What is the profit percentage?
Solution: Let CP = ₹100. Marked price = ₹120. Discount = 10% of 120 = ₹12. SP = 120 − 12 = ₹108. Profit % = 8%.
Answer: 8%
Q8: Boat upstream
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
Q9: 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
Q10: CI vs SI hint
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
Verbal ability questions
Q11: Idiom - hit the nail
Problem: What does ‘hit the nail on the head’ mean?
Solution: To describe exactly the right point.
Answer: Be exactly right
Q12: Synonym - mitigate
Problem: Choose the best synonym of ‘mitigate’.
Solution: ‘Mitigate’ means to make less severe. Closest match: alleviate.
Answer: Alleviate
Q13: Error spotting subject
Problem: Identify the error: The list of items are on the table.
Solution: ‘List’ is singular → ‘is’ not ‘are’.
Answer: are → is
Q14: Error spotting tense
Problem: Identify the error: He go to school yesterday.
Solution: Past time marker needs past tense: went.
Answer: go → went
Q15: One word - bibliophile
Problem: A person who loves books is called a?
Solution: Bibliophile.
Answer: Bibliophile
Q16: One word - extinct
Problem: A species that no longer exists is?
Solution: Extinct.
Answer: Extinct
Reasoning ability questions
Q17: Statement assumption
Problem: Statement: Use public transport to reduce pollution. Assumption: Public transport causes less pollution than private vehicles.
Solution: The advice assumes public transport is cleaner. Assumption is implicit.
Answer: Implicit / valid
Q18: Input output step
Problem: Input: 34 12 57 23. Step1 sorts ascending: 12 23 34 57. What is Step1 third element?
Solution: Sorted: 12, 23, 34, 57. Third = 34.
Answer: 34
Q19: Blood relation
Problem: Pointing to a photograph, Ravi says, ‘She is the daughter of my mother’s only son.’ How is the girl related to Ravi?
Solution: Ravi’s mother’s only son is Ravi himself (assuming one son). The girl is therefore Ravi’s daughter.
Answer: Daughter
Q20: 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
Q21: Syllogism some
Problem: All pens are books. Some books are desks. Conclusion: Some pens are desks?
Solution: No forced overlap between pens and desks. Does not follow.
Answer: Does not follow
Q22: Matrix letter
Problem: If in a code A=1, B=2, … Z=26, what is the value of CAB?
Solution: C=3, A=1, B=2; sum = 6 (if additive coding).
Answer: 6
Timed practice tips for BCG
- First pass: only high-confidence questions
- Mark and skip time sinks early
- Keep verbal accuracy high - these are easy marks if you stay calm
- Run the mock quiz at least three times a week under real timing
- Sleep properly the night before; fatigue hurts DI and calculation accuracy
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