Arithmetic problems detailed step by step solution and explanation

Arithmetic problems detailed step by step solution and explanation

Arithmetic problems designed to test mathematical skills, speed, and accuracy. The exact types and frequency depend on the exam (e.g., SAT, GRE, GMAT, banking exams, SSC, or Olympiads), but the following categories are commonly included:

Basic Operations and Number Systems:

Addition, subtraction, multiplication, division, Properties of numbers (prime, composite, odd, even)

Divisibility rules, LCM, HCF, Fractions, decimals, and percentages

Percentages:

1. Profit and loss - Practice

2. Discounts - Practice

3. Simple interest -  Practice

4. Compound interest - Practice

5. Percentage increase  - Practice 

6. Percentage Decrease - Practice

 

Ratio and Proportion:

7. Direct proportions - Practice

8. Inverse proportions - Practice

9. Mixtures - Practice 

10. Allegations - Practice

11. Partnership problems - Practice

 

Time and Work:

12. Work rate problems - Practice

13. Pipes and cisterns - Practice

14. Efficiency-based calculations - Practice

 

Time, Speed, and Distance:

15. Relative speed - Practice

16. Trains, boats, and streams -      Train Problems |  Boats and still water Problems  | Boats and Streams Problems

17. Average speed and time calculations - Practice

 

Averages:

18. Mean - Practice 

19. Median - Practice  

20. Mode - Practice

21. Weighted averages - Practice

22. Problems involving addition - Practice 

 

Simple and Compound Interest:

23. Interest calculations over time - Practice

24. Difference between simple and compound interest - Practice

 

Profit, Loss, and Discount:

25. Cost price, selling price, marked price - Practice

26. Successive discounts - Practice

27. Break-even problems - Practice

 

Mensuration:

28. Area, perimeter, and volume of 2D/3D shapes (triangles, circles, rectangles, cylinders, etc.) Surface area calculations - Practice

 

Data Interpretation:

29. Percentage and ratio-based calculations - Practice

30. Problems based on tables, graphs, pie charts -  Tables Practice |   Graphs Practice | Pie Practice

31. Average and total calculations - Practice

 

Sequences and Series:

32. Arithmetic and geometric progressions - Practice

33. Sum of series - Practice

34. Finding nth terms - Practice

 

Probability and Statistics:

35. Basic probability (coins, dice, cards) - Practice

36. Standard deviation - Practice

37. Permutations and combinations - Practice

 

Algebraic Applications:

38. Linear equations applied to arithmetic contexts (e.g., age problems) - Practice

39. Quadratic equations in word problems - Practice

40. Simplification of expressions - Practice

 

Simplification and Approximation:

41. BODMAS rule-based calculations - Practice

42. Approximating values for quick computation - Practice

43. Surds and indices - Practice

 

Number Series and Patterns:

44. Identifying missing numbers - Practice

45. Logical or arithmetic patterns - Practice

46. Approximate Number of Types - Practice

 

Age-Based Problems:

47. Calculating present, past, or future ages - Practice

48. Age differences and ratios - Practice

 

Mixtures and Alligations:

49. Mixing solutions or quantities - Practice

50. Weighted average problems - Practice