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5 Questions around this concept.
Direction: The COVID-19 pandemic turned life upside-down for many families across the world. Mr. Abhishek worked as a sales executive for a famous marketing company. Due to the COVID-19 pandemic lockdown and restrictions, Mr Abhishek was not able to achieve his monthly targets which resulted in the reduction of his salary. So far, he spent his income lavishly without any planning or prior calculations. However, the prevailing situation compelled him to plan his expenditure to adjust his life to the present income. Therefore, he analysed his spending of last year i.e., 2019, so that he can plan his present year 2020 spending. Through his brief analysis, he found that in 2019, he spent 23 percent of his income on food, 15 percent on housing, and 12 percent on his child's education. For his transport, he spent 10 percent, and for the clothing of his family, he spent 10 percent. In the meanwhile, Mr. Abishek also saved 15 percent of his income in the year 2019, and the remaining 20 percent of expenditure he kept as other spending. Answer the following questions to provide deeper insight to Mr. Abhishek.
Question: If the total amount spent during the year 2019 was 56,000, the amount spent on other spending and clothing together was higher than:
The concept of divisibility is essential in quantitative aptitude as it helps in simplifying calculations and solving problems efficiently. Understanding the divisibility rules of various numbers can significantly save time during exams, especially management entrance exams. In this study note, we will learn the divisibility rules of numbers 2, 3, 4, 5, 6, 7, 8, 9, 11, and 13, along with some examples.
A number is divisible by 2 if its unit digit is an even number (0, 2, 4, 6, or 8).
Example:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Example:
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Example:
A number is divisible by 5 if its unit digit is either 0 or 5.
Example:
A number is divisible by 6 if it is divisible by both 2 and 3.
Example:
A number is divisible by 7 if the difference between twice the unit digit and the number formed by the remaining digits is divisible by 7.
Example:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
Example:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Example:
A number is divisible by 11 if the difference between the sum of digits at odd places (1st, 3rd, 5th, etc.) and the sum of digits at even places (2nd, 4th, 6th, etc.) is either 0 or divisible by 11.
Example:
Here's the step-by-step procedure:
Example:
Check the divisibility of 507. Multiply the last digit (7) by 9 to get 63. Subtract 63 from the rest of the number (50), giving -13. -13 is a multiple of 13 (since -13 = -1*13), so 507 is divisible by 13.
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