Preparation guide
BARC Aptitude Questions
Overview
This page has BARC aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the BARC OCES/DGFS. Start with the timed mock quiz, then work the solved set and log every miss by topic.
BARC 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
Reasoning
If letter positions are summed (A=1…Z=26), TEAM equals:
Sum of positions = 39.
Quantitative
A is twice as efficient as B. Together they complete a work in 12 days. In how many days will A alone complete it?
Let B's efficiency = 1 unit/day A's efficiency = 2 units/day Together: 1 + 2 = 3 units/day Total work = 3 × 12 = 36 units A alone: 36 / 2 = 18 days
Verbal
The idiom "add fuel to the fire" means:
It means: make a situation worse.
Verbal
Choose correct: The news _____ good.
"News" is singular → is.
Quantitative
The LCM of 12 and 18 is:
LCM(12,18) = 36.
Reasoning
Find next number: 2, 3, 5, 7, 11, ?
Pattern: Prime numbers in sequence 2, 3, 5, 7, 11, 13... Next: 13
Reasoning
Number Series - 37, 47, 58, ?, 79, 95
Correct answer: 70
Verbal
One who loves books is a:
Bibliophile = lover of books.
Reasoning
In a row of 40 students, A is 11th from left. Rank from right is:
From right = 40 − 11 + 1 = 30.
Verbal
"She was _____ by the beautiful sunset."
Past tense passive voice requires past participle "amazed".
Quantitative
Find x: 3x + 7 = 22
3x = 15 → x = 5.
Quantitative
The ratio of savings to current account deposits in a bank is 3:5. If the total deposits are ₹800,000, find the savings account deposits.
Correct answer: ₹300,000
Quantitative
The next term in AP 7, 10, 13, 16, … is:
Common difference = 3 → next = 19.
Quantitative
If "INFOSYS" is coded as "SYFOSNI", how is "SYSTEM" coded?
Pattern: Letters are reversed INFOSYS → SYFOSNI (reversed) SYSTEM → METSYS (reversed)
Reasoning
In a row of 40 students, A is 11th from left and B is 31st from right. How many between A and B?
B from left = 40−31+1 = 10th. A is 11th. They are adjacent → 0 between.
Your score
0/15(0%)
Review
BARC 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: 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
Q2: CI half yearly
Problem: CI on ₹8000 at 10% p.a. for 1 year compounded half-yearly?
Solution: Rate per half-year = 5%. Amount = 8000 × (1.05)² = 8000 × 1.1025 = 8820. CI = 820.
Answer: ₹820
Q3: Fraction simplify
Problem: Simplify: (3/4) ÷ (9/8) × (2/3).
Solution: (3/4) × (8/9) × (2/3) = (3×8×2)/(4×9×3) = 48/108 = 4/9.
Answer: 4/9
Q4: A and B together
Problem: A can finish a job in 10 days and B in 20 days. How long will they take working together?
Solution: A’s one-day work = 1/10. B’s one-day work = 1/20. Together = 1/10 + 1/20 = 3/20 per day. Time = 20/3 ≈ 6.67 days (6 days 16 hours).
Answer: 20/3 days
Q5: 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
Q6: 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
Q7: 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
Q8: 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
Q9: Remainder theorem style
Problem: Find remainder when 7^3 is divided by 5.
Solution: 343 ÷ 5: 5×68=340, remainder 3. Or 7≡2 mod 5; 2³=8≡3.
Answer: 3
Q10: 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
Verbal ability questions
Q11: Antonym - verbose
Problem: Best antonym of ‘verbose’?
Solution: Verbose = wordy. Opposite: concise.
Answer: Concise
Q12: 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
Q13: 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
Q14: Phrase - by and large
Problem: Meaning of ‘by and large’?
Solution: Generally / on the whole.
Answer: Generally
Q15: Synonym - abundant
Problem: Choose the best synonym of ‘abundant’.
Solution: ‘Abundant’ means present in large quantity. Closest match: plentiful.
Answer: Plentiful
Q16: Synonym - mitigate
Problem: Choose the best synonym of ‘mitigate’.
Solution: ‘Mitigate’ means to make less severe. Closest match: alleviate.
Answer: Alleviate
Reasoning ability questions
Q17: Analogy tool
Problem: Hammer is to Nail as Pen is to ?
Solution: Hammer drives nail; pen writes (on paper/ink). Best: Paper / Writing.
Answer: Paper
Q18: 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
Q19: 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
Q20: 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
Q21: 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
Q22: Syllogism
Problem: Statements: All engineers are graduates. Some graduates are managers. Conclusion: Some engineers are managers. Does it follow?
Solution: The ‘some graduates’ who are managers need not overlap with the engineers. The conclusion does not follow necessarily.
Answer: Does not follow
Timed practice tips for BARC
- 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