150+ Most Asked Arithmetic Questions for LIC AAO Exam

The LIC AAO Prelims Exam is a highly competitive exam. Among all the sections, Quantitative Aptitude plays a major role in determining your selection. While simplification, approximation, and number series are important, the real scoring area lies in the Arithmetic Questions. Over the years, the LIC AAO exam pattern has shown that 10–12 questions in the Quant section are directly asked from Arithmetic topics. These questions test your conceptual clarity, calculation speed, and ability to apply logic to real-life-based word problems. To help you prepare effectively, we have compiled 150+ Most Asked Arithmetic Questions for LIC AAO based on previous year papers and expected trends.

150+ Most Asked Arithmetic Questions PDF Link

For LIC AAO aspirants, practicing arithmetic is crucial to score well in the Prelims exam. To help you prepare effectively, we are providing a PDF link of 150+ Most Asked Arithmetic Questions based on previous year papers and frequently appearing topics. This comprehensive PDF covers all important areas like simplification, percentage, ratio and proportion, profit and loss, time and work, speed, distance and time, simple and compound interest, and more. By solving these questions regularly, you can strengthen your problem-solving speed, accuracy, and overall confidence for the exam. Access the 150+ Most Asked Arithmetic Questions PDF through the link provided below and boost your preparation instantly.

Question 1: 560 ml of the mixture contains 45% of milk in it. Find the quantity of milk that must be added into the mixture so that quantity of milk in the resultant mixture becomes 60%.

A)  210 ml

B)  160 ml

C)  180 ml

D) 

200 ml

E)  None of these

Question 2: Mixture ‘A’ initially contains milk and water in the ratio of 5:9, respectively. When 11 litres milk and 17 litres water is added into the mixture, the ratio of milk to water in the resultant mixture becomes 4:7. Find the quantity of water in the initial mixture ‘A’.

A)  45 litres

B)  54 litres

C)  63 litres

D)  72 litres

E)  81 litres

Question 3: 350 ml of mixture contains milk and water in the ratio of 9:5 respectively. If ‘x’ ml of mixture is taken out and 30 ml of milk and 40 ml of water is added into the remaining mixture then ratio of milk to water in the resulting mixture will be 4:3. Find the value of ‘x’.

A)  175

B)  210

C)  280

D)  140

E)  None of these

Question 4: A seller sold certain quantity of a mixture (oil + water) for Rs. 270 at the rate of Rs. (9/8) per litre. The mixture contains 180 litres of oil. When ‘x’ litres of oil and (x + 20) litres of water is added to the mixture, the ratio of oil to water in it becomes 2:1. Find the value of ‘x’.

A)  15

B)  20

C)  16

D)  40

E) 25

Question 5: A milkman mixed same quantities of mixture ‘A’ and mixture ‘B’. The ratio of milk to water in mixture ‘A’ and ‘B’ is 5:2 and 4:1, respectively. If after mixing both mixtures, milkman also added 20 litres of water in the resultant mixture, then find the ratio of milk to water in the final mixture given that quantity of mixture ‘A’ is 35 litres. 

A) 46:35 

B) 53:37 

C) 54:35 

D) 35:22 

E) None of these

Question 6: Total number of missiles launched by country D is how much more than the number of missiles launched by country E. 

A) 87

B) 93

C) 96 

D) 102 

E) None of these

Question 7: The number of unsuccessful missiles launched is what percentage of the number of successful missiles launched by country A? 

A) 53.23% 

B) 66.67%

C) 77.77% 

D) 82.12% 

E) None of these 

Question 8: Find the average of the number of successful missiles launched by country A, B and C together. 

A) 115 

B) 124 

C) 108 

D) 105 

E) None of these 

Question 9: If 25% of the missiles launched by country A were related to defence system, then find the number of defence related missiles launched by country A. 

A) 68 

B) 64 

C) 72 

D) 62 

E) None of these

Question 10: In 2018, the number of missiles launched by country C is 50% more than the previous year. If the ratio of successful to unsuccessful missiles launched in 2018 is 17:4, then find the number of unsuccessful missiles launched by country C in 2018. 

A) 54 

B) 30 

C) 45

D) 42 

E) 36

Why are Arithmetic Questions important for LIC AAO 2025 Prelims Exam?

The Quantitative Aptitude section carries 35 questions in prelims, representing a substantial portion of your total score. Arithmetic topics constitute a good portion of the entire quantitative section, with their importance obvious in the exam pattern. This section serves as a major differentiator between successful and unsuccessful candidates.

Insurance institutions prioritize quantitative skills because they directly correlate with analytical thinking, problem-solving speed, and accuracy under pressure – all essential traits for insurance professionals. A strong arithmetic foundation can compensate for weaker areas and significantly boost your overall percentile, often determining your place in the final merit list.

The beauty of arithmetic lies in its predictability and scoring potential. Unlike reasoning or English sections that may have subjective interpretations, arithmetic problems have definitive solutions and consistent scoring patterns. Master these topics, and you create a reliable scoring avenue that can secure your insurance career.

Complete Coverage: 14 Essential Arithmetic Topics for Success

Profit & Loss

Profit and Loss questions appear in virtually every insurance examination, testing your understanding of commercial transactions essential for insurance operations. This topic evaluates how well you can analyze business scenarios, calculate margins, and understand pricing strategies – all crucial insurance skills.

Core concepts revolve around four price relationships: Cost Price (CP) represents the original purchase amount, Selling Price (SP) is the final sale amount, Marked Price (MP) indicates the listed price before discounts, and Discount represents the reduction from marked price. The fundamental formulas include Profit = SP – CP (when SP > CP), Loss = CP – SP (when CP > SP), and Profit% = (Profit/CP) × 100.

Advanced applications include successive profit/loss calculations using the formula {(100±a)(100±b)/100} – 100, dishonest shopkeeper problems involving false weights where Gain% = Error/(True Value – Error) × 100, and complex marked price-discount scenarios combining multiple percentage operations. Insurance professionals regularly encounter these concepts when evaluating loan proposals, analyzing business performance, and calculating various fees and charges.

Simple & Compound Interest

Interest calculations form the absolute core of insurance operations, making this topic highly relevant and frequently tested. Understanding these concepts is crucial for loan processing, investment advisory, and deposit management – primary insurance functions.

Simple Interest follows the straightforward formula SI = (P × R × T)/100, where P represents principal amount, R is the annual interest rate, and T indicates time in years. The final amount equals A = P + SI. This method applies to certain loan types and basic savings accounts.

Compound Interest involves reinvestment of earned interest, calculated using A = P(1 + R/100)^T, with CI = A – P. This method applies to most modern insurance products including recurring deposits, fixed deposits, and loan EMI calculations. Advanced concepts include different compounding frequencies where the formula adjusts to A = P(1 + R/n×100)^(n×T), with ‘n’ representing compounding frequency (annually=1, half-yearly=2, quarterly=4, monthly=12).

Questions often involve finding missing variables, comparing investment options, or calculating loan EMIs. The key insight is that compound interest always exceeds simple interest for periods greater than one year, with the difference increasing exponentially over time.

Time & Work

Time and Work questions assess logical thinking and proportional reasoning skills essential for insurance operations like staff allocation, project management, and operational efficiency optimization. These problems model real workplace scenarios where multiple resources work together toward common goals.

The fundamental principle states that Work = Time × Rate of Work, where Rate of Work = 1/Time taken to complete the task. If person A completes work in ‘x’ days, their daily work rate equals 1/x. When multiple people work together, their combined rate equals the sum of individual rates. For example, if A completes work in ‘a’ days and B in ‘b’ days, together they complete (1/a + 1/b) work daily, finishing in ab/(a+b) days.

Advanced concepts include the MDH/W formula: M₁D₁H₁/W₁ = M₂D₂H₂/W₂, where M represents workers, D represents days, H represents hours per day, and W represents work completed. This formula handles complex scenarios involving varying workforce sizes, working hours, and task difficulties. Insurance applications include calculating staff requirements for different operations, optimizing service delivery times, and managing seasonal workforce variations.

Time, Speed & Distance

These questions test analytical skills crucial for understanding operational efficiency, service delivery optimization, and resource movement – all vital insurance concepts. Modern insurance increasingly relies on speed and timing for customer service excellence and competitive advantage.

The fundamental relationship Distance = Speed × Time allows derivation of any variable from the other two. Average speed calculations require understanding that Average Speed = Total Distance/Total Time, not the arithmetic mean of individual speeds. When traveling equal distances at different speeds, use the harmonic mean formula: 2xy/(x+y).

Relative speed concepts apply when objects move in same or opposite directions. For same direction movement, relative speed = |S₁ – S₂|; for opposite directions, relative speed = S₁ + S₂. Train problems involve understanding that crossing stationary objects requires covering the train’s length, while crossing moving objects involves relative speeds and combined lengths.

Advanced applications include circular track problems with meeting and crossing patterns, escalator problems combining personal and mechanical speeds, and clock problems involving hand movement patterns. Insurance applications include analyzing transaction processing times, optimizing branch service delivery, and calculating fund transfer speeds across different channels.

Mixture & Alligation

Mixture and Alligation problems test proportional reasoning and weighted average concepts essential for portfolio management, risk distribution, and resource allocation in insurance. These questions model scenarios where different components combine to achieve desired outcomes.

The Alligation rule provides quick solutions for finding ratios when mixing quantities with different values to achieve a specific average. When mixing quantities with values C₁ and C₂ to achieve average C, the mixing ratio equals (C – C₂):(C₁ – C). This cross-method eliminates complex algebraic calculations.

Replacement problems involve removing mixture quantities and adding pure components, using the formula: Final concentration = Initial concentration × (1 – Replacement ratio)ⁿ, where n represents the number of replacement operations. Successive mixing problems require understanding how concentrations change with each operation, often involving multiple steps with different replacement ratios.

Insurance applications include calculating average interest rates for mixed portfolios, determining optimal asset allocation ratios, and analyzing risk distribution across different investment products. Advanced scenarios involve multiple component mixtures requiring weighted average calculations and complex ratio determinations.

Averages

Average calculations form the cornerstone of statistical analysis in insurance, from customer demographics to portfolio performance assessment. Understanding averages enables effective data interpretation and decision-making in various insurance contexts.

The basic formula Average = Sum of Values/Number of Values extends to complex scenarios involving weighted averages and changing group compositions. When new members join or leave groups, the average change follows: New member’s value = Old average + (Number of existing members × Change in average).

Weighted averages involve different quantities having varying importance levels, calculated as Σ(Value × Weight)/Σ(Weights). Age-related problems often involve calculating group averages at different time periods, using the principle that average changes reflect group composition modifications.

Insurance applications include calculating average account balances, average transaction amounts, portfolio performance metrics, and customer satisfaction scores. These problems frequently combine with other arithmetic topics, requiring integrated conceptual understanding for efficient problem-solving.

Ratio & Proportion

Ratio and Proportion form the mathematical foundation for comparative analysis, resource distribution, and performance evaluation in insurance. These concepts enable effective comparison of different quantities and establishment of proportional relationships.

A ratio expresses relationships between two quantities of the same unit, while proportion indicates equality of two ratios. The fundamental property states that a:b = c:d implies ad = bc (cross multiplication). When combining ratios like A:B = 2:3 and B:C = 4:5, the combined ratio A:B:C requires making the common term equal (A:B:C = 8:12:15).

Direct proportion occurs when quantities increase or decrease together, while inverse proportion involves one increasing as the other decreases. Partnership problems use proportional relationships to distribute profits based on investment amounts and time periods.

Insurance applications include calculating loan-to-deposit ratios, comparing investment returns, analyzing market share distributions, and determining resource allocations. Advanced topics include continued proportion, mean proportion, and geometric applications in area and volume calculations.

Partnership

Partnership problems assess understanding of business relationships and profit-sharing mechanisms crucial in insurance and corporate finance. These questions model real business scenarios where multiple investors collaborate with different contribution levels and time commitments.

Simple partnership involves equal time periods with profit distribution proportional to investment amounts. If partners A and B invest amounts ‘a’ and ‘b’ for the same period, their profit ratio equals a:b. Compound partnership incorporates different time periods, where profit distribution follows (Capital₁ × Time₁):(Capital₂ × Time₂).

Working partner scenarios involve additional compensation for management services, typically calculated as a percentage of profits before distribution. Sleeping partner arrangements involve passive investment without operational involvement but proportional profit sharing.

Insurance applications include analyzing joint venture returns, calculating partnership firm loan eligibilities, assessing business performance metrics, and understanding complex corporate structures. These problems often combine with interest calculations, requiring integrated analytical understanding.

Percentage

Percentage calculations are omnipresent in insurance operations, from interest rates to growth analysis and regulatory compliance. Mastering percentages is essential for virtually every insurance function and customer interaction.

The fundamental concept expresses parts per hundred using Percentage = (Part/Whole) × 100. Conversion between fractions, decimals, and percentages requires memorizing standard equivalents: 1/2 = 50%, 1/3 = 33.33%, 1/4 = 25%, 1/5 = 20%.

Percentage change calculations follow: Percentage change = (New Value – Old Value)/Old Value × 100. Successive percentage changes don’t add directly; instead, use Final value = Initial value × (100±a)% × (100±b)%.

Insurance applications encompass interest rate calculations, loan processing fees, investment return analysis, regulatory compliance ratios, and performance metrics calculation. Advanced concepts include distinguishing between percentage points and percentage changes, critical for accurate financial analysis.

Boats & Streams

Boats and Streams problems combine time-speed-distance concepts with relative motion principles, testing analytical thinking valuable for operational efficiency assessment. These questions model scenarios where external factors affect performance, similar to insurance operations under varying conditions.

Fundamental concepts involve downstream movement (boat and current in same direction) and upstream movement (boat against current). If boat speed in still water is ‘u’ and current speed is ‘v’, then downstream speed = u + v and upstream speed = u – v.

Key relationships include: Still water speed = (downstream + upstream)/2 and Current speed = (downstream – upstream)/2. Time calculations follow: Time downstream = distance/(u+v) and Time upstream = distance/(u-v).

Insurance applications include analyzing transaction processing speeds under different network conditions, comparing service delivery times across branches, and optimizing operational efficiency under varying external factors. These problems test logical reasoning about relative performance and external impact assessment.

Pipes & Cisterns

Pipes and Cisterns problems model work efficiency and resource management concepts vital for insurance operations like cash flow management and service delivery optimization. These questions treat tank filling/emptying as work completion with multiple contributing factors.

The fundamental principle treats filling rate = 1/time to fill and emptying rate = 1/time to empty. Inlet pipes perform positive work (filling), while outlet pipes/leaks perform negative work (emptying). Combined effect equals Σ(inlet rates) – Σ(outlet rates).

For example, if pipe A fills a tank in ‘x’ hours and pipe B empties it in ‘y’ hours (y > x), working together they complete (1/x – 1/y) work per hour, requiring xy/(y-x) hours to fill the tank.

Insurance applications include modeling cash flow management, analyzing account balance changes with multiple transactions, optimizing service delivery with varying processing capacities, and resource allocation under competing demands. These problems test logical reasoning about resource coordination and efficiency optimization.

Mensuration

Mensuration encompasses area, perimeter, volume, and surface area calculations essential for insurance applications involving space optimisation, property valuation, and resource planning. Understanding spatial relationships helps in various insurance operational decisions.

2D mensuration covers fundamental shapes: squares (Area = side², Perimeter = 4×side), rectangles (Area = l×b, Perimeter = 2(l+b)), circles (Area = πr², Circumference = 2πr), and triangles (Area = ½×base×height). Advanced concepts include composite figures requiring area addition/subtraction and coordinate geometry applications.

3D mensuration involves: cubes (Volume = side³, Surface Area = 6×side²), cuboids (Volume = l×b×h, Surface Area = 2(lb+bh+hl)), cylinders (Volume = πr²h, Surface Area = 2πr(r+h)), cones (Volume = ⅓πr²h), and spheres (Volume = ⁴⁄₃πr³, Surface Area = 4πr²).

Insurance applications include calculating floor space for branch layouts, optimizing storage capacity for document management, analyzing property measurements for loan collateral, and determining construction costs for infrastructure projects. These problems often appear in data interpretation formats requiring quick formula application.

Age Problems

Age problems test logical reasoning and systematic equation-solving skills fundamental to insurance analytical tasks. These questions develop structured thinking approaches valuable for complex problem-solving in insurance operations.

Problems typically involve relationships between people’s ages at different time periods, requiring systematic equation setup and algebraic manipulation. Basic principles include: if present age is ‘x’, then age after ‘n’ years = x+n and age ‘n’ years ago = x-n.

Ratio-based problems involve multiple people whose age relationships change over time, requiring proportion understanding and simultaneous equation solving. Average age problems combine age calculations with statistical concepts, often involving group composition changes.

Insurance applications include calculating employee retirement benefits, analyzing demographic data for service planning, determining eligibility criteria based on age requirements, and actuarial calculations for insurance products. Success requires clear problem interpretation, systematic equation formulation, and accurate algebraic manipulation.

Disclaimer: The arithmetic questions, solutions, and strategies provided are compiled from expert references and past exam trends. They are intended for practice and guidance only, not official LIC AAO exam content. Actual exam questions may differ. Candidates should always verify details through official LIC notices before relying on them.

Final Takeaway

The Quantitative Aptitude section in LIC AAO Prelims can be a deciding factor for your selection. With just a few weeks left, you should focus on high-weightage arithmetic topics and solve as many practice sets as possible. Our 150+ Most Asked Arithmetic Questions collection is designed to give you a real exam experience and maximise your score.

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