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Shortcuts to Solve Averages Question for CAT Video Lecture - Quantitative Aptitude (Quant)
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FAQs on Shortcuts to Solve Averages Question for CAT Video Lecture - Quantitative Aptitude (Quant)
| 1. What are some common shortcuts to solve average questions in CAT? |  |
Ans. Some common shortcuts to solve average questions in CAT include:
- Using the formula: Average = Sum of values / Number of values
- Using the concept of deviation: Average = Mean + (Deviation / Number of values)
- Using the concept of weighted average: Average = (Sum of (Value * Weight)) / Sum of Weights
- Using the concept of ratios: Average = (Sum of values in Ratio) / (Sum of ratio terms)
- Using the concept of consecutive numbers: Average = (First number + Last number) / 2
| 2. How can I solve average questions quickly and accurately in the CAT exam? | |
Ans. To solve average questions quickly and accurately in the CAT exam, you can follow these tips:
- Understand the problem statement carefully and identify the given information.
- Use the appropriate shortcut or formula based on the type of average question.
- Simplify the calculations by using mental math techniques or estimation.
- Practice solving a variety of average questions to improve your speed and accuracy.
- Keep track of the units or conditions mentioned in the question to avoid any errors in calculations.
| 3. Can you explain the concept of weighted average in average questions for CAT? | |
Ans. Weighted average is used when different values in a set have different weights or importance. To calculate the weighted average, you multiply each value by its respective weight, then divide the sum of these products by the sum of the weights. In the context of average questions for CAT, you may encounter scenarios where different elements have different weights, such as scores in different subjects or investments with varying amounts. By using the formula for weighted average, you can accurately calculate the average in such situations.
| 4. How can I apply the concept of deviation in average questions for CAT? | |
Ans. The concept of deviation in average questions for CAT helps in finding the average when the deviation of each value from the average is known. You can use the formula: Average = Mean + (Deviation / Number of values). By substituting the given values, you can find the average without calculating the sum of all the values. This concept is particularly useful when the values in a set are not provided explicitly, but their deviations from the average are given.
| 5. How can I use the concept of consecutive numbers to solve average questions in CAT? | |
Ans. When dealing with average questions involving consecutive numbers, you can use the formula for the average of consecutive numbers: Average = (First number + Last number) / 2. This formula holds true because in a set of consecutive numbers, the average is equal to the middle number. By using this formula, you can quickly find the average without calculating the sum of all the numbers. This shortcut is particularly handy when the consecutive numbers are given as a range or series in the question.
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