Preparation guide
Arcesium Aptitude Questions
Overview
This page has Arcesium aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the Arcesium Online Assessment. Start with the timed mock quiz, then work the solved set and log every miss by topic.
Arcesium 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
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
Reasoning
All pens are books. Some books are papers. Conclusion: Some pens are papers.
No definite overlap between pens and papers.
Reasoning
Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of the faster train?
Relative speed = 50 - 32 = 18 kmph = 18 × 5/18 = 5 m/s Time = 15 seconds Length of faster train = Relative speed × Time = 5 × 15 = 75 meters
Verbal
Synonym of "Immense":
Immense means huge.
Quantitative
Five people A, B, C, D, E sit in a row. A is not at either end. B sits next to A. C sits at one end. D sits between C and E. Who sits in the middle?
C is at one end. D is between C and E, so: C-D-E or E-D-C A is not at end, B is next to A If C-D-E, then A-B must be before: A-B-C-D-E (A at end, invalid) So: E-D-C, and A-B before: A-B-E-D-C Middle position: E
Reasoning
Find the next number: 1, 2, 4, 8, 16, ?
×2 each → 32.
Quantitative
A 120 m train crosses a pole in 8 s. Speed in km/h is:
Speed = 120/8 = 15 m/s = 54 km/h.
Verbal
A bouquet of flowers _____ on the table.
Bouquet is singular.
Quantitative
Find next letter: B, E, H, K, ?
Pattern: B(+3)→E(+3)→H(+3)→K(+3)→N Next letter = N
Reasoning
Pointing to a photograph, Ravi said, "He is the son of my grandfather's only son." The boy is Ravi's:
Grandfather's only son is Ravi's father → the boy is Ravi's brother.
Quantitative
A shopkeeper marks an item 30% above cost price and gives 10% discount. Find his profit percentage.
Let CP = ₹100 Marked Price = ₹130 Discount = 10% of ₹130 = ₹13 Selling Price = ₹130 - ₹13 = ₹117 Profit = ₹117 - ₹100 = ₹17 Profit % = (17/100) × 100 = 17%
Verbal
Choose the correctly spelled word:
Correct spelling is Accommodation.
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
A and B can complete a work in 20 days and 30 days respectively. They work together for 6 days, then A leaves. In how many days will B complete the remaining work?
A's 1 day work = 1/20 B's 1 day work = 1/30 Together in 1 day = 1/20 + 1/30 = 5/60 = 1/12 Work done in 6 days = 6 × 1/12 = 1/2 Remaining work = 1 - 1/2 = 1/2 B will complete in = (1/2) / (1/30) = 15 days
Verbal
Synonym of "Scarce":
Scarce means rare or insufficient.
Your score
0/15(0%)
Review
Arcesium 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: 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: Mean median hint
Problem: Numbers 2, 5, 8, 11, x have mean 8. Find x.
Solution: Sum = 40. 2+5+8+11+x=40 → x=14.
Answer: 14
Q4: Average speed
Problem: A person covers a distance at 60 km/h and returns at 40 km/h. What is the average speed for the whole trip?
Solution: For equal distances, average speed = 2ab/(a+b). = 2×60×40 / (60+40) = 4800/100 = 48 km/h.
Do not take the arithmetic mean (50); that would be wrong here.
Answer: 48 km/h
Q5: 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%
Q6: Permutation basic
Problem: In how many ways can 5 different books be arranged on a shelf?
Solution: Arrangements of 5 distinct items = 5! = 120.
Answer: 120
Q7: 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
Q8: 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
Q9: Sum of naturals
Problem: What is the sum of the first 50 natural numbers?
Solution: Sum of first n naturals = n(n+1)/2. For n = 50: 50 × 51 / 2 = 1275.
Answer: 1275
Q10: Net percent change
Problem: A number is increased by 20% and then decreased by 20%. What is the net percentage change?
Solution: Start with 100 → 120 → 96. Net change = 4% decrease. Formula: successive +a then −a gives −(a²/100)% = −4%.
Answer: 4% decrease
Verbal ability questions
Q11: 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
Q12: Antonym - benevolent
Problem: Choose the best antonym of ‘benevolent’.
Solution: ‘Benevolent’ means kind or well-meaning. Opposite: malevolent.
Answer: Malevolent
Q13: Antonym - verbose
Problem: Best antonym of ‘verbose’?
Solution: Verbose = wordy. Opposite: concise.
Answer: Concise
Q14: Fill blank preposition
Problem: She is good _____ mathematics. (in / at / on / of)
Solution: Standard collocation: good at.
Answer: at
Q15: 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
Q16: Antonym - scarce
Problem: Choose the best antonym of ‘scarce’.
Solution: ‘Scarce’ means in short supply. Opposite: abundant.
Answer: Abundant
Reasoning ability questions
Q17: 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
Q18: 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
Q19: 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
Q20: Odd one shapes
Problem: Odd one out: Circle, Square, Triangle, Cube
Solution: Cube is 3D; others are 2D shapes.
Answer: Cube
Q21: 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
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 Arcesium
- 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