Are there any specific shortcuts or formulas to remember for numerical...
Shortcuts and Formulas for Numerical Calculations and Problem Solving in IBPS Clerk Exam
1. Simplification Techniques:
- BODMAS Rule: This rule helps in solving complex mathematical expressions by giving priority to brackets, orders, divisions, multiplications, additions, and subtractions in that order.
- Squares and Cubes: Memorize the squares and cubes of numbers up to 30 to quickly solve questions involving these calculations.
- Percentage Calculations: Remember the shortcuts for calculating percentages. For example, to find 10% of a number, divide it by 10. To find 5%, divide it by 20, and so on.
2. Number Series:
- Identify the Pattern: Look for patterns in the given number series. It could be based on addition, subtraction, multiplication, division, squares, cubes, or any other mathematical operation.
- Find the Next Number: Apply the identified pattern to find the missing number in the series. Sometimes, it may also help to look for alternate patterns.
3. Data Interpretation:
- Ratio and Proportion: Understand how to convert the given data into ratios and proportions. This helps in comparing different quantities and finding missing values.
- Average: Calculate the average of given data points by summing them up and dividing by the total number of values.
- Percentage Increase or Decrease: Use the formula (Change / Original Value) * 100 to calculate the percentage increase or decrease.
4. Time and Distance:
- Speed, Distance, and Time: Remember the formula Distance = Speed * Time. Use this formula to solve questions related to average speed, relative speed, and time taken to cover a certain distance.
- Trains and Platforms: Familiarize yourself with the formulas and concepts related to trains and platforms, such as the formula for finding the length of a moving train based on the time taken to cross a stationary object.
5. Profit and Loss:
- Cost Price, Selling Price, and Profit: Understand the formulas and concepts related to calculating cost price, selling price, and profit percentage. This includes formulas for calculating profit percentage, loss percentage, and selling price.
6. Permutations and Combinations:
- Factorial: Understand the concept of factorial (!) and how it is used in permutations and combinations.
- Formulas: Memorize the formulas for calculating permutations and combinations, such as nPr = n! / (n - r)! and nCr = n! / [(n - r)! * r!].
7. Probability:
- Basic Probability: Understand the concept of probability and the notation used. Probability is calculated as the number of favorable outcomes divided by the number of possible outcomes.
- Addition and Multiplication Rules: Understand the addition and multiplication rules of probability to solve questions involving multiple events.
Remember to practice these shortcuts, formulas, and techniques regularly to improve your speed and accuracy in numerical calculations and problem-solving for the IBPS Clerk Exam.