Arcesium 2026 aptitude
Quantitative, reasoning, and verbal drills with solutions
This page collects Arcesium placement papers from 2026 with practice questions, worked solutions, and the exam pattern students reported that cycle. Use it when you want drive history: what the first round looked like, which topics repeated, and how to approach solutions. Work the sets below under a timer, then compare with newer material so your prep matches both established Arcesium patterns and recent shifts.
Arcesium 2026 aptitude
Quantitative, reasoning, and verbal drills with solutions
Arcesium 2026 coding
DSA practice aligned to Arcesium online assessments
Arcesium interview experience
Round structure and tips from student reports
Arcesium prep guide
Study plan and weekly schedule
Timed placement-style MCQs with score and explanations after you submit. Use it to check speed and accuracy before the real test.
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%)
| Section | What shows up | Prep focus |
|---|---|---|
| Online assessment | Coding and/or MCQ filter | Weekly timed mocks |
| Technical rounds | DSA, CS fundamentals, projects | Live problem solving |
| HR / hiring manager | Motivation and communication | Specific, evidence-based answers |
First round: Arcesium Online Assessment
Skills emphasized: DSA, systems, finance workflows
Languages: Java, Python, C++
These are practice-style questions aligned to patterns students report for Arcesium drives around 2026. They are not leaked live papers. Work them timed, then read the solutions only after you have an answer.
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
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
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%
Problem: An article is marked 40% above cost and sold after a 10% discount. Find the profit percent.
Solution: SP = CP × 1.4 × 0.9 = 1.26 CP. Profit = 26%.
Answer: 26%
Problem: An article sold at 10% loss would give 5% profit if sold for ₹60 more. Find the cost price.
Solution: 0.9P + 60 = 1.05P 60 = 0.15P P = 60 / 0.15 = ₹400.
Answer: ₹400
Problem: Eight workers finish a job in 10 days. How many days will 10 workers take for the same job (same pace)?
Solution: Total man-days = 8 × 10 = 80. Days for 10 workers = 80 / 10 = 8 days.
Answer: 8 days
Problem: A vehicle travels at 60 km/h for 2.5 hours. How far does it go?
Solution: Distance = speed × time = 60 × 2.5 = 150 km.
Answer: 150 km
Problem: If two ratios are 3:5 and 5:7, what is the compound ratio?
Solution: Compound ratio = (3/5) × (5/7) = 3/7, written as 3:7.
Answer: 3:7
Problem: Find the first non-repeating character in a string and return its index, or -1 if none exists.
Approach: Count frequencies in one pass (hash map or array of 26 for lowercase). Second pass returns the first index with count 1.
Complexity: O(n) time
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Design a stack that supports push, pop, top, and getMin in average O(1) time.
Approach: Keep a parallel min-stack (or store pairs). When pushing, also push the new minimum. When popping, pop both stacks.
Complexity: O(1) per operation amortized
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Given an integer array, find the contiguous subarray with the largest sum and return that sum. Example: [-2,1,-3,4,-1,2,1,-5,4] → 6 (from [4,-1,2,1]).
Approach: Keep a running sum. If the running sum drops below 0, reset it to 0 before taking the next element (or track the best ending-here value). Track the global maximum as you scan once from left to right.
Complexity: O(n) time, O(1) extra space
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Given a mutable character array representing a string, reverse it in place without allocating another array of the same size.
Approach: Use two pointers at the start and end. Swap characters, then move inward until the pointers meet. Watch empty and single-character inputs.
Complexity: O(n) time, O(1) extra space
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Write a function that returns true if n is prime and false otherwise. Handle n < 2 correctly.
Approach: Return false for n < 2. Trial-divide from 2 to floor(sqrt(n)). If any divisor divides n evenly, it is composite; otherwise prime.
Complexity: O(√n) time
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Given a string containing only ‘()[]’, decide whether the brackets are balanced and correctly nested.
Approach: Scan left to right with a stack. Push opening brackets. On a closing bracket, the stack top must be the matching opener. At the end the stack must be empty.
Complexity: O(n) time, O(n) space
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Given an array of integers and a target, return indices of two numbers that add up to the target. Assume exactly one solution and you may not use the same element twice.
Approach: Walk the array once. For each value x, check whether target − x was seen earlier in a hash map of value → index. If yes, return both indices; else store x.
Complexity: O(n) time, O(n) space
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Problem: Given a string s, find the length of the longest substring without repeating characters. Example: ‘abcabcbb’ → 3 (‘abc’).
Approach: Sliding window with a map (or last-seen index) of characters. Expand the right pointer; when a duplicate appears inside the window, move the left pointer past the previous occurrence.
Complexity: O(n) time
Arcesium tip: Restate the problem, sketch a brute-force idea, then tighten it. Call out edge cases (empty input, single element, overflow) before you write code.
Students usually say the first round is time-tight - easy marks vanish if you sit too long on one hard question. For Arcesium, skim the paper in a couple of minutes, mark what you can finish cleanly, and protect accuracy. Languages people commonly use: Java, Python, C++.
| Area | Why it matters at Arcesium |
|---|---|
| DSA | What usually helps you clear the first round |
| Core CS (OOPs / DBMS / OS) | Technical interview depth |
| FinTech Platforms (D. E. Shaw spinout) awareness | Helps in managerial / HR conversations |
| Communication | Explain your approach clearly; keep a few real examples ready for HR |