Preparation guide
Bain Aptitude Questions
Overview
This page has Bain aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the Bain Online Test / SOVA variants. Start with the timed mock quiz, then work the solved set and log every miss by topic.
Bain 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
Quantitative
A can do a piece of work in 10 days and B in 15 days. Days to finish together:
1/10 + 1/15 = 1/6 → 6 days.
Verbal
Fill in: The news _____ shocking.
News is singular → is.
Quantitative
A and B can complete a work in 12 days, B and C in 15 days, C and A in 20 days. In how many days will A alone complete the work?
Let total work = LCM of 12, 15, 20 = 60 units A + B efficiency = 60/12 = 5 units/day B + C efficiency = 60/15 = 4 units/day C + A efficiency = 60/20 = 3 units/day Adding all: 2(A + B + C) = 5 + 4 + 3 = 12 units/day A + B + C = 6 units/day A's efficiency = (A +
Quantitative
Divide ₹720 in the ratio 2:3. The larger share is:
Larger = 3/5 × 720 = ₹432.
Reasoning
If every letter is shifted +2 in the alphabet, CODE becomes:
Each letter +2 → EQFG.
Quantitative
Find compound interest on ₹10,000 for 2 years at 10% per annum, compounded annually.
Amount = P(1 + R/100)^n Amount = 10000(1 + 10/100)^2 = 10000 × 1.1^2 = 10000 × 1.21 = ₹12,100 CI = Amount - Principal = 12100 - 10000 = ₹2,100
Verbal
Find antonym of "Temporary"
Correct answer: Permanent
Reasoning
Which comes next: 5, 10, 20, 40, ?
Each term doubles → 80.
Quantitative
A sum doubles in 5 years at simple interest. The rate of interest is:
For doubling, RT = 100 → R = 100/5 = 20%.
Verbal
Problem: Find the synonym of "ABUNDANT": a) Scarce b) Plentiful c) Limited d) Rare
Abundant means existing in large quantities, so "Plentiful" is the synonym.
Verbal
A shopkeeper sells an article at a profit of 20%. If he had bought it at 20% less and sold it for ₹5 less, he would have gained 25%. Find the cost price of the article.
Let CP = 100 SP = 120 (20% profit) New CP = 80 (20% less) New SP = 120 - 5 = 115 New Profit = 115 - 80 = 35 New Profit % = (35/80) × 100 = 43.75% But given new profit is 25%, so: Let actual CP = x Actual SP = 1.2x New CP = 0.8x New SP = 1.2x - 5 New Profit = (
Reasoning
Find the next number: 8, 6, 9, 7, 10, ?
−2,+3 alternating → 10-2=8 → 8.
Quantitative
Identify the error: "Neither of the students were present in the class."
Correct answer: "were" should be "was"
Reasoning
In each question a set of six statements is given. Identify the answer choice in which the statements are logically related. A: All green is blue B: All green is white C: All green is black D: All black is white E: All blue is yellow F: All blue is white
Correct answer: ABF
Reasoning
A walks 8 km north, then 15 km east. Distance from start is:
Right triangle → 17 km.
Your score
0/15(0%)
Review
Bain 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: Ratio mixture tea
Problem: Tea worth ₹120/kg is mixed with tea worth ₹180/kg in the ratio 3:2. Find the price of the mixture per kg.
Solution: Price = (3×120 + 2×180) / 5 = (360 + 360) / 5 = 720/5 = ₹144 per kg.
Answer: ₹144
Q2: 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
Q3: 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
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: Partnership share
Problem: A and B invest ₹40,000 and ₹60,000. If profit is ₹25,000, what is A’s share?
Solution: Ratio A:B = 2:3. A’s share = (2/5) × 25000 = ₹10,000.
Answer: ₹10,000
Q6: 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
Q7: Cube surface
Problem: A cube has side 6 cm. What is its total surface area?
Solution: TSA = 6a² = 6 × 36 = 216 cm².
Answer: 216 cm²
Q8: 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
Q9: Population growth
Problem: A town’s population is 20,000. It grows 10% yearly. Population after 2 years?
Solution: After 2 years: 20000 × 1.1 × 1.1 = 24200.
Answer: 24,200
Q10: Work efficiency
Problem: A is twice as efficient as B. Together they finish in 12 days. How many days does A alone need?
Solution: Let B = x days, A = x/2. 1/(x/2) + 1/x = 1/12 → 2/x + 1/x = 1/12 → 3/x = 1/12 → x = 36. A alone = 18 days.
Answer: 18 days
Verbal ability questions
Q11: Phrase - by and large
Problem: Meaning of ‘by and large’?
Solution: Generally / on the whole.
Answer: Generally
Q12: Idiom
Problem: What does ‘hit the nail on the head’ mean?
Solution: It means to describe exactly what is causing a situation or problem; to be precisely right.
Answer: To be exactly right
Q13: 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
Q14: Sentence rearrange
Problem: Arrange: (1) the exam (2) she cleared (3) with ease
Solution: She cleared the exam with ease.
Answer: 2-1-3
Q15: 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
Q16: Antonym - scarce
Problem: Choose the best antonym of ‘scarce’.
Solution: ‘Scarce’ means in short supply. Opposite: abundant.
Answer: Abundant
Reasoning ability questions
Q17: Series multiply
Problem: Find the next number: 3, 9, 27, 81, ?
Solution: Each term is multiplied by 3. Next = 81 × 3 = 243.
Answer: 243
Q18: 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
Q19: 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
Q20: 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
Q21: Coding opposite
Problem: If ROAD is coded as URDG, how is RACE coded?
Solution: Each letter +3: R→U, O→R, A→D, D→G. R→U, A→D, C→F, E→H → UDFH.
Answer: UDFH
Q22: 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
Timed practice tips for Bain
- 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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