Time and Distance Interview Questions
10 Questions
10 Minutes
Mock Test Series
Quantitative Aptitude for Placements
We have covered every topic that might ask in any placement exam so that students always get prepared for Quantitative Aptitude Questions in the written rounds.
100+Questions
100+Minutes
Asked in
Quantitative Aptitude Mock Tests for Technical Interviews
Quantitative Aptitude is a critical first round for major campus recruiters like TCS, Infosys, Wipro, and Accenture. Success requires more than just understanding the concepts; it requires the speed and accuracy to solve complex problems under strict time constraints.
Our mock tests focus on the 10+ high-impact topics that consistently appear in placement drives: Time and Work, Percentages, Ratio and Proportion, simple and compound interest, Profit and Loss, and Probability. With 100+ questions across 15 timed exams, we simulate the actual testing environment to help you build your competitive edge.
Master the common traps that often trip up candidates, such as successive percentage errors or unit conversion mistakes. Each question is designed to build the precision needed to clear high cutoffs and move to technical interview rounds. Start your practice today and master the fundamentals of quantitative reasoning.
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Different Rates for Different Periods
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Highlights
5262+
Students Attempted
100+
Interview Questions
100+ Mins
Duration
10
Core Interview Topics
Core Topics Covered
Solve speed, distance, and time problems including unit conversions, relative speed, and train problems — one of the most frequently tested topics in placement aptitude rounds.
Speed, distance, time relationship: Speed = Distance / Time and its variations
Unit conversions: km/hr to m/s (multiply by 5/18) and m/s to km/hr (multiply by 18/5)
Average speed calculations: when traveling different distances at different speeds
Relative speed: same direction (difference of speeds) vs opposite direction (sum of speeds)
Train problems: platform crossing, pole crossing, and two trains meeting or passing
Journey with stoppages: excluding vs including stoppage time in speed calculations
Two-part journey problems: different speeds for different portions of the same journey
Time saved or lost: when speed increases or decreases by a given amount
Speed comparison: faster vs slower vehicles meeting at the same point
Speed and time variations: finding original values when changes are given
Speed Formula
Unit Conversion
Relative Speed
Train Problems
Master percentage increase, decrease, successive changes, and reverse percentage — percentage questions appear in almost every placement test in some form.
Basic percentage calculations: converting fractions and decimals to percentages
Percentage increase and decrease: direct formula applications
Successive percentage changes: not simple addition (20% + 30% ≠ 50%)
Population problems: annual increase or decrease with compound effect
Consumption and expenditure: adjusting consumption when price changes to maintain expense
Election and voting: vote distribution and majority calculations
Salary and savings: finding salary when percentage spent and amount saved are given
Reverse percentage: finding original value when final value and percentage change are known
Mark and exam percentage: total marks, passing marks, and percentage calculations
Discount and markup: cost price, marked price, and selling price relationships
Successive Changes
Reverse Percentage
Population Growth
Consumption
Work with ratios, mixtures, and proportional distributions — ratio-based problems appear across multiple topics including profit sharing, age problems, and mixtures.
Basic ratio simplification: converting ratios to their simplest form
Ratio to percentage conversion: understanding parts of a whole
Compounded ratios: when each component increases or decreases by different percentages
Mixture problems: milk-water and changing ratio by adding or removing components
Investment and profit sharing: ratio-based distribution of profit amounts
Age ratio problems: present age ratio vs future or past age ratio
Multiple ratio relationships: finding individual values from three or more ratio conditions
Time-based ratio changes: investment duration affecting profit distribution
Making ratios comparable: expressing A:B and B:C with a common B to find A:B:C
Direct and inverse proportion: identifying and solving proportion-based problems
Mixture Problems
Profit Sharing
Age Ratios
Compounded Ratios
Apply the SI formula to find principal, rate, and time — simple interest is a foundational topic and a stepping stone to compound interest problems in placements.
Basic SI formula: SI = (P × R × T) / 100
Finding principal: when SI, rate, and time are known
Finding rate of interest: when principal, SI, and time are known
Finding time period: when principal, SI, and rate are known
Amount calculation: Amount = Principal + Simple Interest
Two different schemes: dividing principal between different interest rates
Equal interest scenarios: finding rate when interest equals principal
Reverse SI problems: finding principal when amount and other details are given
Variable rate problems: different rates applied for different time periods
Interest and amount relationship: solving multi-step problems using SI concepts
SI Formula
Finding Principal
Finding Rate
Amount Calculation
Calculate compound interest for annual, half-yearly, and quarterly compounding — CI problems test formula application and are heavily weighted in placement aptitude tests.
Basic CI formula: A = P(1 + R/100)^T
Difference between SI and CI: for 2 years and 3 years on the same principal
Half-yearly compounding: rate halved and time doubled
Quarterly compounding: rate quartered and time multiplied by four
Finding rate: when principal, amount, and time are known
Finding time: when principal, amount, and rate are known
Population and depreciation: applying CI formula for growth and decay
Effective annual rate: for half-yearly or quarterly compounding
Doubling or tripling time: finding time required for amount to become double or triple
Installment problems: finding amount paid in installments with compound interest
CI Formula
Half-Yearly
SI vs CI Difference
Depreciation
Calculate simple, weighted, and replacement averages — average problems involving ages, speeds, and group changes are standard in every placement aptitude test.
Basic average: sum of observations divided by number of observations
Average of consecutive numbers: (First + Last) / 2
Weighted average: different weights assigned to different values
Average with replacement: new average when one value is replaced by another
Average of remaining: after excluding some values from a group
Average age problems: family members or teams with member additions or removals
Average speed: harmonic mean, not arithmetic mean when distances are equal
Average expenditure: monthly and yearly expense calculations
Average income: multiple persons with overlapping or partial information
Range-based average: when values lie between two known limits
Weighted Average
Replacement Average
Average Speed
Age Problems
Solve profit, loss, markup, discount, and dishonest dealing problems — profit and loss appears in almost every placement test and combines well with ratio and percentage.
Basic formulas: Profit = SP - CP and Loss = CP - SP
Profit and loss percentage: calculated on cost price
Finding CP when SP and profit or loss percent are given
Finding SP when CP and profit or loss percent are given
Marked price and discount: relationship between MP, SP, and CP
Successive discounts: not simple addition of discount percentages
Dishonest dealing: false weights and wrong measurements
Partnership profit sharing: based on investment ratio or time ratio
Profit = Loss case: when profit% equals loss%, CP is the average of two selling prices
Mixture and alligation: mixing items at different prices to find mean price
Markup & Discount
Successive Discounts
Alligation
Partnership
Solve work rate, combined efficiency, wages, and pipe-cistern problems — time and work is one of the highest-weight topics in TCS, Infosys, and Wipro placement tests.
Basic work formula: Work = Rate × Time (individual rate = 1/days)
Combined work: A and B together = 1/a + 1/b work per day
Work and wages: payment distributed based on work actually done
Man-days concept: Total work = Number of workers × Days taken
Efficiency comparison: men, women, and children with different work rates
Work with assistance: person working alone then getting help midway
Pipes and cisterns: inlet pipes add work, outlet pipes subtract work
Partial work completion: finding remaining work after some days have passed
Group work variations: different combinations of workers completing the job
Three-worker problems: finding one worker's rate when combined rates are known
Work Rates
Combined Efficiency
Pipes & Cisterns
Wages
Apply arrangement and selection formulas including conditional and circular cases — P&C is consistently tested in product company placements and competitive exams.
Fundamental principle: multiplication rule for independent sequential events
Permutation formula: nPr = n! / (n-r)! when order matters
Combination formula: nCr = n! / (r! × (n-r)!) when order does not matter
Arrangements: total ways to arrange n distinct objects = n!
Arrangements with repetition: when some objects are identical, divide by repetitions!
Selection problems: choosing committees, groups, and teams from a larger set
At least one condition: Total ways minus ways with none (complementary counting)
Vowels together trick: treat all vowels as one block, then multiply by internal arrangements
Digits and divisibility: forming numbers with specific properties from given digits
Circular arrangements: (n-1)! for n objects arranged in a circle
nPr
nCr
Circular Arrangements
At Least One
Calculate probabilities for dice, cards, coins, and conditional events — probability is tested in competitive placements and requires clear understanding of favorable vs total outcomes.
Basic probability: P(Event) = Favorable outcomes / Total outcomes
Probability range: always between 0 and 1 inclusive
Complementary probability: P(not A) = 1 - P(A)
Dice problems: single die, two dice, and sum conditions
Card problems: drawing from a standard 52-card deck
Coin tossing: multiple tosses and at least one head or tail conditions
Ball and urn problems: with replacement vs without replacement scenarios
Independent events: P(A and B) = P(A) × P(B)
Mutually exclusive events: P(A or B) = P(A) + P(B)
Conditional probability: P(A|B) = P(A and B) / P(B)
Complementary Probability
Dice & Cards
Independent Events
Conditional
Frequently Asked Questions
A quantitative aptitude mock test is a timed assessment that simulates the numerical ability rounds used in campus placements and competitive exams. It covers topics like time-distance, percentage, profit-loss, SI/CI, averages, time-work, permutations, and probability — the exact concepts tested by TCS, Infosys, Wipro, Accenture, and other recruiters.
These tests are ideal for engineering students preparing for campus placements, MBA/BBA students targeting aptitude-based selection processes, competitive exam aspirants (CAT, SSC, bank exams), and job seekers facing numerical screening rounds at companies.
The tests cover 10 core topics: Time & Distance, Percentage, Ratio & Proportion, Simple Interest, Compound Interest, Averages, Profit & Loss, Time & Work, Permutation & Combination, and Probability.
There are 100+ placement-focused questions divided into 5 full-length mock tests, each containing 20 carefully curated questions covering all 10 topics.
Yes, each mock test includes a 20-minute timer to simulate real placement test pressure. The time limit is configurable for flexible practice sessions.
A score of 75%+ under timed conditions generally indicates placement readiness. Scoring 75–85% consistently means you are ready for most campus placements including competitive service companies.
Yes, questions are based on actual patterns from TCS, Infosys, Wipro, Accenture, Cognizant, Amazon, and other recruiters from previous campus placement drives.
Simple Interest questions use SI = (P × R × T) / 100, where interest is always calculated on the original principal. Compound Interest questions use A = P(1 + R/100)^T, where interest compounds on accumulated interest. Both types appear in placements with CI questions often involving half-yearly or quarterly compounding.
The most common trap is adding successive percentages directly. Instead, use the multiplicative formula: net change = a + b + (ab/100). For example, a 20% increase followed by a 20% decrease gives a net decrease of 4%, not 0%.
Yes, the tests cover permutation vs combination distinction, arrangements with repetition, circular arrangements, at-least-one conditions using complementary counting, and the vowels-together trick for word arrangement problems.
Yes, the tests start with straightforward formula-based problems and progressively advance to multi-step word problems, making them suitable for students at all levels of preparation.
Yes, the 20-minute timed format forces you to solve questions quickly, building the mental calculation speed and accuracy that placement tests demand. Repeated practice significantly reduces the time per question.
Yes, the time and work section covers individual and combined work rates, man-days concept, wages distribution, efficiency comparisons, partial work, and pipe-cistern problems using the same work-rate framework.
For equal distances at two different speeds, average speed is the harmonic mean: (2 × S1 × S2) / (S1 + S2), not the arithmetic mean. Using (S1 + S2) / 2 is a common mistake that gives the wrong answer.
Yes, many probability questions require counting favorable and total outcomes using combination or permutation logic. Card, dice, and ball-drawing problems often combine both concepts in a single question.
They help you practice the exact question types and time pressure found in placement aptitude rounds, identify weak topics early, improve calculation speed, and build the confidence needed to clear screening rounds.
Yes, you can retake any mock test unlimited times to track progress, improve weak topics, and build consistent accuracy under timed conditions.
Yes, the quantitative topics covered — percentage, ratio, SI/CI, profit-loss, time-work, P&C, and probability — are core sections in CAT, MAT, XAT, bank PO, SSC, and railway competitive exams.
A 6-week plan works well: Week 1–2 for formula mastery and basic applications, Week 3–4 for speed building and topic-wise practice, Week 5–6 for full mock tests, error analysis, and mixed practice.
Take one topic-focused test first, review all wrong answers carefully, then practice that topic separately. Once confident, take mixed full-length tests under the 20-minute limit and track your improvement over time.
Yes, many questions are designed around common mistakes — applying discount on cost price instead of marked price, adding successive percentages, using arithmetic mean for average speed, and using var in loops. Recognizing these traps is key to scoring well.
Yes, ratio and proportion concepts appear across multiple topics — profit sharing in partnerships, mixing in alligation, age problems, investment distribution, and compounded ratio changes in seats or resource allocation.
Yes, several questions combine marked price, selling price, discount percentage, and profit percentage in multi-step problems — the type that commonly appears in TCS and Wipro placement tests.
Yes, repeated timed practice naturally builds familiarity with common calculations — two-digit multiplication, percentage conversions, fraction-to-decimal shortcuts, and standard formula applications — all of which reduce time per question.
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