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Squares Tricks: Square of a Number Close to the Multiple of the Base Video Lecture | Quantitative Aptitude (Quant) - CAT

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FAQs on Squares Tricks: Square of a Number Close to the Multiple of the Base Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is the concept of squaring a number close to the multiple of the base?
Ans. Squaring a number close to the multiple of the base refers to finding the square of a number that is slightly greater or smaller than a multiple of the base number. This concept is used to simplify the calculation of squares and make it easier to perform mentally or with simple calculations.
2. How does squaring a number close to the multiple of the base simplify calculations?
Ans. Squaring a number close to the multiple of the base simplifies calculations by taking advantage of the properties of the square function. By choosing a number close to the multiple of the base, the calculation can be easily done mentally or with simple arithmetic operations, reducing the complexity and time required.
3. Can you provide an example of squaring a number close to the multiple of the base?
Ans. Certainly! Let's say we want to square a number close to 10, which is our base. We choose 9 as the number close to 10. Now, to find the square of 9, we can use the formula (10 + 9) * (10 - 9) + 9^2. This simplifies to (19 * 1) + 81, which equals 19 + 81, resulting in 100.
4. Are there any limitations or restrictions when using the concept of squaring a number close to the multiple of the base?
Ans. Yes, there are a few limitations to consider when using this concept. Firstly, the accuracy of the result may vary depending on how close the chosen number is to the multiple of the base. Secondly, this method may not be suitable for large numbers or when high precision is required. Lastly, it is important to ensure that the chosen number is close to the multiple of the base to achieve accurate results.
5. How can the concept of squaring a number close to the multiple of the base be applied in real-life scenarios?
Ans. The concept of squaring a number close to the multiple of the base can be applied in various real-life scenarios. For example, when estimating the area of a square or a rectangle, this concept can be used to simplify the calculation. It can also be useful in mental math exercises, making it easier to perform calculations quickly and accurately.
185 videos|158 docs|113 tests
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