CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Division Tricks: When a Number is Divided by 9
Division Tricks: When a Number is Divided by 9 Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Division Tricks: When a Number is Divided by 9 Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the trick to quickly divide a number by 9? |  |
Ans. To divide a number by 9, you simply need to add up all the digits of the number and check if the sum is divisible by 9. If it is divisible, then the result is the quotient of the sum divided by 9. If it is not divisible, then the result is the quotient of the sum divided by 9 plus the remainder.
| 2. Can you provide an example to demonstrate the division trick for dividing by 9? | |
Ans. Sure! Let's take the number 432. If we add up the digits (4 + 3 + 2), we get 9. Since 9 is divisible by 9, the result of dividing 432 by 9 is 48.
| 3. Is this division trick applicable to any number? | |
Ans. Yes, this division trick is applicable to any number. As long as you can add up the digits of the number, you can use this trick to quickly divide it by 9.
| 4. What happens if the sum of the digits is greater than 9? | |
Ans. If the sum of the digits is greater than 9, you need to repeat the process of adding up the digits until you get a sum less than or equal to 9. Then you can apply the division trick as usual.
| 5. Are there any other tricks for dividing numbers by 9? | |
Ans. Yes, another trick for dividing numbers by 9 is to multiply the number by 0.111... (repeating decimal) or 1/9. This can be done by dividing the number by 9 and moving the decimal point one place to the left. However, the digit-by-digit addition trick is often faster and more convenient for mental calculations.
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Dec 24, 2024 Last updated |
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