Fractal Analytics 2024 aptitude
Quantitative, reasoning, and verbal drills with solutions
This page collects Fractal Analytics placement papers from 2024 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 Fractal Analytics patterns and recent shifts.
Fractal Analytics 2024 aptitude
Quantitative, reasoning, and verbal drills with solutions
Fractal Analytics 2024 coding
DSA practice aligned to Fractal Analytics online assessments
Fractal Analytics interview experience
Round structure and tips from student reports
Fractal Analytics 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.
Reasoning
What is the interest rate? Statement I: The interest on ₹10,000 for 1 year is ₹800. Statement II: The interest rate is less than 10%.
Statement I: Interest = ₹800, Principal = ₹10,000, Time = 1 year Rate = (Interest × 100) / (Principal × Time) = (800 × 100) / (10,000 × 1) = 8% Statement II: Rate < 10% (doesn't give exact value)
Verbal
Choose the correct form: "The number of students _____ increased."
Correct answer: has
Quantitative
Five friends A, B, C, D, E are sitting in a row. A is not at either end. B is to the immediate right of A. C is at one end. D is between C and E. Who is sitting in the middle?
C is at one end. D is between C and E, so arrangement: C-D-E or E-D-C A is not at end, B is right of A If C-D-E, then A-B must be before C: 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
Verbal
Synonym of "Modest":
Modest means humble.
Quantitative
A mixture contains milk and water in ratio 3:2. If 10 liters of water is added, ratio becomes 2:3. Find initial quantity of mixture.
Let initial: Milk = 3x, Water = 2x After adding 10L water: Milk = 3x, Water = 2x + 10 3x / (2x + 10) = 2/3 9x = 4x + 20 5x = 20 x = 4 Initial quantity = 3x + 2x = 5x = 20 liters
Reasoning
Statement: "Use our product for better results."
Both assumptions are implicit in the statement
Reasoning
Odd one out: 8, 27, 64, 100, 125
Others are perfect cubes; 100 is not.
Verbal
A shopkeeper buys an article for ₹500 and sells it for ₹600. Find his profit percentage.
Correct answer: 20%
Reasoning
If P means +, Q means −, R means ×, then 18 R 2 P 6 Q 4 = ?
18 × 2 + 6 − 4 = 36 + 6 − 4 = 38.
Quantitative
A number is increased by 20% and then decreased by 20%. Find the net percentage change.
Let original = 100 After 20% increase: 120 After 20% decrease: 96 Net change = 4% decrease
Quantitative
In what ratio should water be mixed with milk costing ₹12 per liter to get a mixture worth ₹8 per liter?
Using alligation: Water (₹0) Milk (₹12) \ / \ / \ / \ / \ / ₹8 Ratio = (12-8):(8-0) = 4:8 = 1:2
Quantitative
15 men can complete a work in 20 days. After 5 days, 5 men leave. How many more days will it take to complete the work?
Correct answer: 22.5 days
Quantitative
A train 150 m long runs at 54 km/h. Time to cross a man standing is:
54 km/h = 15 m/s. Time = 150/15 = 10 s.
Verbal
Choose the correct form: "Neither the teacher nor the students _____ present."
Correct answer: were
Reasoning
Find the next number: 2, 5, 11, 23, 47, ?
Pattern: Each number = previous × 2 + 1 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47 Next: 47×2+1 = 95
Your score
0/15(0%)
| Section | What shows up | Prep focus |
|---|---|---|
| Aptitude / logical | Quant, reasoning, sometimes verbal | Timed sectional accuracy |
| Coding / programming logic | Easy-medium DSA or output-style MCQs | Handle tricky inputs |
| Technical interview | OOPs, DBMS, OS, projects | Explain aloud |
| HR | Fit, location, intent | A few real examples ready |
First round: Fractal Online Assessment
Skills emphasized: Aptitude, SQL, case/analytics, Python
Languages: Python, SQL, R
These are practice-style questions aligned to patterns students report for Fractal Analytics drives around 2024. They are not leaked live papers. Work them timed, then read the solutions only after you have an answer.
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%
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
Problem: The ratio of ages of A and B is 3:5. After 8 years the ratio becomes 5:7. Find A’s present age.
Solution: Let ages be 3x and 5x. (3x+8)/(5x+8) = 5/7 7(3x+8) = 5(5x+8) 21x + 56 = 25x + 40 4x = 16 → x = 4 A’s age = 12 years.
Answer: 12 years
Problem: Pipe A fills a tank in 6 hours and pipe B in 8 hours. How long do they take together to fill it?
Solution: Combined rate = 1/6 + 1/8 = 4/24 + 3/24 = 7/24. Time = 24/7 hours ≈ 3 hours 26 minutes.
Answer: 24/7 hours
Problem: Find the simple interest on ₹8000 at 10% per annum for 2 years.
Solution: SI = (P × R × T) / 100 = (8000 × 10 × 2) / 100 = ₹1600.
Answer: ₹1600
Problem: If 30% of a number is 150, what is the number?
Solution: 0.3x = 150 → x = 150 / 0.3 = 500.
Answer: 500
Problem: The average of five numbers is 20. One number 30 is replaced by 10. What is the new average?
Solution: Old sum = 5 × 20 = 100. New sum = 100 − 30 + 10 = 80. New average = 80 / 5 = 16.
Answer: 16
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
Problem: A person walks 5 km north, then 3 km east, then 5 km south. How far is he from the start, and in which direction?
Solution: North 5 and south 5 cancel. He is 3 km east of the start.
Answer: 3 km east
Problem: Find the next number: 3, 9, 27, 81, ?
Solution: Each term is multiplied by 3. Next = 81 × 3 = 243.
Answer: 243
Problem: Five friends sit in a row. A is to the left of B but right of C. D is to the right of B and left of E. Who is in the middle?
Solution: Order from left to right: C, A, B, D, E. The middle seat is B.
Answer: B
Problem: Book is to Reading as Fork is to ?
Solution: A book is used for reading; a fork is used for eating.
Answer: Eating
Problem: Given an integer array and an integer k, return the k most frequent elements. Order among equals can be arbitrary unless the problem says otherwise.
Approach: Count frequencies with a hash map, then use a heap of size k (or bucket sort by frequency) to extract the top k keys.
Complexity: O(n log k) with a heap
Fractal Analytics 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 the head of a linked list, return true if there is a cycle and false otherwise.
Approach: Floyd’s tortoise and hare: move one pointer one step and another two steps. If they meet, a cycle exists. If the fast pointer hits null, there is no cycle.
Complexity: O(n) time, O(1) space
Fractal Analytics 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 the root of a binary tree, return the level-order traversal (breadth-first) as a list of levels.
Approach: Use a queue. For each level, drain the current queue size, collect values, and enqueue children for the next level.
Complexity: O(n) time, O(n) space
Fractal Analytics 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 coin denominations and an amount, return the fewest coins needed to make that amount, or -1 if it is impossible.
Approach: Unbounded knapsack DP: let dp[x] be the minimum coins for amount x. For each coin, update dp[c..amount]. Initialize dp[0] = 0 and the rest to a large sentinel.
Complexity: O(amount × coins)
Fractal Analytics 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 sorted array of distinct integers and a target, return the index of target or -1 if missing.
Approach: Maintain lo/hi. Compare mid with target and shrink the half that cannot contain it. Careful with overflow-free mid and empty arrays.
Complexity: O(log n) time
Fractal Analytics 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: Move all zeros in an array to the end while keeping the relative order of non-zero elements.
Approach: Two pointers: write non-zeros toward the front, then fill the remainder with zeros. Or swap zeros as you scan.
Complexity: O(n) time, O(1) space
Fractal Analytics 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: Rotate an array to the right by k steps. Example: [1,2,3,4,5,6,7], k = 3 → [5,6,7,1,2,3,4].
Approach: Normalize k %= n. Reverse the whole array, reverse the first k elements, then reverse the rest. That yields the rotation in place.
Complexity: O(n) time, O(1) space
Fractal Analytics 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: 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
Fractal Analytics 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 Fractal Analytics, skim the paper in a couple of minutes, mark what you can finish cleanly, and protect accuracy. Languages people commonly use: Python, SQL, R.
| Area | Why it matters at Fractal Analytics |
|---|---|
| Aptitude | What usually helps you clear the first round |
| Core CS (OOPs / DBMS / OS) | Technical interview depth |
| AI & Analytics Consulting awareness | Helps in managerial / HR conversations |
| Communication | Explain your approach clearly; keep a few real examples ready for HR |
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