Preparation guide
Fractal Analytics Aptitude Questions
Overview
This page has Fractal Analytics aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the Fractal Online Assessment. Start with the timed mock quiz, then work the solved set and log every miss by topic.
Fractal Analytics 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
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%)
Review
Fractal Analytics 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: 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
Q2: 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
Q3: Geometry triangle
Problem: A right triangle has legs 6 and 8. Hypotenuse?
Solution: √(36+64)=√100=10.
Answer: 10
Q4: 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
Q5: Unitary rice
Problem: 12 kg rice costs ₹540. Cost of 8 kg?
Solution: Per kg = 45. 8 kg = ₹360.
Answer: ₹360
Q6: Compound mark-discount
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%
Q7: 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
Q8: Percentage recover
Problem: If 30% of a number is 150, what is the number?
Solution: 0.3x = 150 → x = 150 / 0.3 = 500.
Answer: 500
Q9: Average of averages
Problem: Average of 10 numbers is 25. Average of first 6 is 20. Average of last 4?
Solution: Total = 250. First 6 sum = 120. Last 4 sum = 130. Average = 130/4 = 32.5.
Answer: 32.5
Q10: 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
Verbal ability questions
Q11: 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
Q12: 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
Q13: Phrase - by and large
Problem: Meaning of ‘by and large’?
Solution: Generally / on the whole.
Answer: Generally
Q14: Synonym - obsolete
Problem: Choose the best synonym of ‘obsolete’.
Solution: ‘Obsolete’ means no longer in use. Closest: outdated.
Answer: Outdated
Q15: Fill blank article
Problem: He is _____ honest man. (a / an / the / no article)
Solution: ‘Honest’ begins with vowel sound → an.
Answer: an
Q16: Error spotting
Problem: Spot the error: ‘Neither of the boys have submitted their assignment.’
Solution: ‘Neither’ is singular, so the verb should be ‘has’ (and ideally ‘his’ / ‘their’ per style guide). Correct: Neither of the boys has submitted his assignment.
Answer: have → has
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: Cause effect
Problem: Cause: Heavy rain overnight. Which is a likely effect?
Solution: Waterlogging / traffic delays are likely effects.
Answer: Waterlogging / delays
Q19: Number series gap
Problem: Find the missing number: 5, 11, 23, 47, ?
Solution: ×2+1 pattern: 5→11→23→47→95.
Answer: 95
Q20: Puzzle order
Problem: P finishes before Q but after R. S finishes after Q. Who finished first?
Solution: Order: R, P, Q, S. First is R.
Answer: R
Q21: Direction turn
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
Q22: 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
Timed practice tips for Fractal Analytics
- 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
Comments & Suggestions
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