Preparation guide
Optum Aptitude Questions
Overview
This page has Optum aptitude questions with full solutions - numerical ability, verbal, and logical reasoning - in the style students report for the Optum Online Assessment. Start with the timed mock quiz, then work the solved set and log every miss by topic.
Optum 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
All pens are books. Some books are papers. Conclusion: Some pens are papers.
No definite overlap between pens and papers.
Quantitative
A person covers a certain distance at a speed of 50 km/h and returns at 30 km/h. What is the average speed for the entire journey?
Let distance = D km Time forward = D/50 hours Time return = D/30 hours Total time = D/50 + D/30 = D(3+5)/150 = 8D/150 = 4D/75 hours Total distance = 2D km Average speed = 2D / (4D/75) = 2D × 75/4D = 37.5 km/h
Quantitative
The price of a product is increased by 25%. By what percentage should the consumption be reduced so that the expenditure remains the same?
Correct answer: 20%
Verbal
Problem: Choose the synonym for "Ephemeral": a) Eternal b) Transient c) Permanent d) Perpetual
"Ephemeral" means lasting for a very short time, temporary. "Transient" has the same meaning.
Reasoning
In a row of 30 students, A is 10th from the left. Rank from the right is:
From right = 30-10+1 = 21.
Reasoning
In how many ways can 4 books be arranged on a shelf?
Correct answer: 24 ways
Quantitative
Select 3 people from 10 for a committee. How many ways?
Correct answer: C(10,3) = 10!/(3!×7!) = 120
Reasoning
Find the next number: 2, 6, 12, 20, 30, ?
Differences +4, +6, +8, +10, +12 → next is 42.
Verbal
Find the synonym of "Benevolent".
Correct answer: Kind
Quantitative
Compound Interest - Yearly vs Half-Yearly
Correct answer: ₹3.93 (approximately)
Verbal
Choose the correctly spelled word:
Correct spelling is Accommodation.
Verbal
Neither the teacher nor the students _____ present.
Verb agrees with nearer subject (students) → were.
Reasoning
Find the missing number: 5, 11, 23, 47, 95, ?
Correct answer: 191
Quantitative
The ratio of boys to girls in a class is 3:2. If there are 30 students, how many are girls?
Correct answer: 12 girls
Quantitative
If "ACCENTURE" is coded as "ERUTNECCA", how is "SYSTEM" coded?
Pattern: Letters are reversed ACCENTURE → ERUTNECCA (reversed) SYSTEM → METSYS (reversed)
Your score
0/15(0%)
Review
Optum 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: Cube surface
Problem: A cube has side 6 cm. What is its total surface area?
Solution: TSA = 6a² = 6 × 36 = 216 cm².
Answer: 216 cm²
Q2: Marked price discount
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%
Q3: Discount successive
Problem: Two successive discounts of 10% and 20% equal a single discount of?
Solution: Net multiplier = 0.9 × 0.8 = 0.72 → 28% single discount.
Answer: 28%
Q4: Average after replace
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
Q5: 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
Q6: Loss to profit shift
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
Q7: 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
Q8: Mixture milk
Problem: A mixture has milk and water in the ratio 4:1. If 5 litres of water are added to 20 litres of mixture, what is the new milk:water ratio?
Solution: In 20 L: milk = 16 L, water = 4 L. After adding 5 L water: milk 16, water 9. Ratio = 16:9.
Answer: 16:9
Q9: Chain rule copies
Problem: 8 printers print 800 pages in 4 hours. How many printers for 1200 pages in 3 hours?
Solution: Pages ∝ printers × time. 800/(8×4)=1200/(p×3) → 25 = 1200/(3p) → 75p=1200 → p=16.
Answer: 16
Q10: Time and distance chase
Problem: A is 100 m ahead of B. A runs at 8 m/s and B at 10 m/s. How long until B catches A?
Solution: Relative speed = 2 m/s. Time = 100/2 = 50 seconds.
Answer: 50 seconds
Verbal ability questions
Q11: Synonym - abundant
Problem: Choose the best synonym of ‘abundant’.
Solution: ‘Abundant’ means present in large quantity. Closest match: plentiful.
Answer: Plentiful
Q12: 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
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: Synonym - obsolete
Problem: Choose the best synonym of ‘obsolete’.
Solution: ‘Obsolete’ means no longer in use. Closest: outdated.
Answer: Outdated
Q15: Idiom - piece of cake
Problem: What does ‘a piece of cake’ mean?
Solution: It means something very easy.
Answer: Very easy
Q16: Error spotting tense
Problem: Identify the error: He go to school yesterday.
Solution: Past time marker needs past tense: went.
Answer: go → went
Reasoning ability questions
Q17: Direction return
Problem: You walk 2 km east, 3 km south, 2 km west. How far from start?
Solution: East/west cancel; 3 km south from start.
Answer: 3 km south
Q18: Blood relation
Problem: Pointing to a photograph, Ravi says, ‘She is the daughter of my mother’s only son.’ How is the girl related to Ravi?
Solution: Ravi’s mother’s only son is Ravi himself (assuming one son). The girl is therefore Ravi’s daughter.
Answer: Daughter
Q19: 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
Q20: Number series gap
Problem: Find the missing number: 5, 11, 23, 47, ?
Solution: ×2+1 pattern: 5→11→23→47→95.
Answer: 95
Q21: Series alternate
Problem: Find next: 2, 3, 5, 8, 12, ?
Solution: Differences +1,+2,+3,+4,+5 → next diff 5 → 17.
Answer: 17
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 Optum
- 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