If The Number 24753x Is Completely Divisible By 72 Class 6 Maths CBSE

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsIf the number 24753x is completely divisible by 72 then which of the following numbers should replace x(a) 4(b) 5(c) 6(d) 7AnswerVerified587.1k+ viewsHint: Divisibility rule of 8: - Last three-digit of number should be divisible by 8 then the whole number is divisible by 8.Divisibility rule of 9: - The Sum of all digits of a number should be multiple of 9 or divisible by 9.Complete step-by-step solution:We will first of all factor 72.Since 72 is a composite number it has more than 2 factors.8 and 9 are coming under factors of 72.So for any number to be divisible by 72, it should be divisible by 9 & 8.Now we will study the divisible rules of 8 and 9.Divisibility rule of 8: - The last three digits of the number should be divisible by 8 then the whole number is divisible by 8.Divisibility rule of 9: - The Sum of all digits of a number should be multiple of 9 or divisible by 9.Now we have the number as 24753x.Sum is 2 + 4 + 7 + 5 + 3 + x, for it to be divisible by 9 we must have, sum = multiple of 9.\[\Rightarrow \] 2 + 4 + 7 + 5 + 3 + x = multiple of 9.\[\Rightarrow \] 21 + x = multiple of 9.Now we will consider all options separately.Option (a), Let x = 4,\[\Rightarrow \] 21 + 4 = 25, not a multiple of 9.So, option (a) is correct.Option (b), Let x = 5.\[\Rightarrow \] 21 + 5 = 26, not a multiple of 9.So, option (b) is incorrect.Option (c), Let x = 6.\[\Rightarrow \] 21 + 6 = 27, yes a multiple of 9. So, option (c) is correct.Option (d), Let x = 7, then,\[\Rightarrow \] 21 + 7 = 28, not a multiple of 9.Wrong option.Also when x = 6, then the last three digits of 24753x are 536 which is divisible by 8. So, x = 6 is correct answer which is option (c).Note: Another way to solve this question can be checked for divisibility of 8 on all options. That can be long but will anyway give the same result.Option (a), let x = 4Then 247534 has last three-digit as 534.Clearly, \[\dfrac{534}{8}=66.75\].So, 534 is not divisible by 8.Hence option (a) is wrong.Option (b), let x = 5Then 247535 has the last three digits as 535. Clearly, \[\dfrac{535}{8}=66.87\].So, 535 is not divisible by 8.Option (b) is wrong.Option (c), let x = 6Then 247536 has the last three digits as 536.Clearly, \[\dfrac{536}{8}=67\].So, 536 is divisible by 8.Hence option (c) is correct.Option (d), let x = 7.Then 537 is not divisible by 8.Option (d) wrong.Recently Updated PagesWhich part of the earth is ahead in terms of time A class 6 social science CBSEWhich dynasty was ruling Magadha at the time of Alexander class 6 social science CBSEThe hymns in the Vedas have been referred to as which class 6 social science CBSEForm the smallest 8digit number using the digits 5 class 6 maths CBSEWhat is the full form of GMT A Greenwich Mean Time class 6 social science CBSEFill in the blanks with the most appropriate words class 6 english CBSEWhich part of the earth is ahead in terms of time A class 6 social science CBSEWhich dynasty was ruling Magadha at the time of Alexander class 6 social science CBSEThe hymns in the Vedas have been referred to as which class 6 social science CBSEForm the smallest 8digit number using the digits 5 class 6 maths CBSEWhat is the full form of GMT A Greenwich Mean Time class 6 social science CBSEFill in the blanks with the most appropriate words class 6 english CBSE

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