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Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
- a)18
- b)22
- c)42
- d)43
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Mr. X, a mathematician, defines a number as 'connected with 6 if it is...
Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.
There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.
Most Upvoted Answer
Mr. X, a mathematician, defines a number as 'connected with 6 if it is...
Calculation of numbers not connected with 6
- To find the numbers not connected with 6, we need to first identify the numbers that are connected with 6 as per the given definition.
- Numbers connected with 6 include those that are divisible by 6, have a digit sum of 6, or have the digit 6 in them.
Numbers connected with 6
- Divisible by 6: The numbers between 1 and 60 that are divisible by 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60.
- Digit sum of 6: Numbers with a digit sum of 6 are 15, 24, 33, 42, 51, and 60.
- Numbers with digit 6: Numbers with the digit 6 are 6, 16, 26, 36, 46, 56, and 60.
Calculating numbers not connected with 6
- Total numbers from 1 to 60 are 60.
- Numbers connected with 6 are 16 (10 divisible by 6, 6 with digit sum 6, and 1 with digit 6).
- Therefore, numbers not connected with 6 are 60 - 16 = 44.
Therefore, the correct option is 43 as we need to exclude 1 occurrence of number 6 which is counted as both connected and not connected with 6.
- To find the numbers not connected with 6, we need to first identify the numbers that are connected with 6 as per the given definition.
- Numbers connected with 6 include those that are divisible by 6, have a digit sum of 6, or have the digit 6 in them.
Numbers connected with 6
- Divisible by 6: The numbers between 1 and 60 that are divisible by 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60.
- Digit sum of 6: Numbers with a digit sum of 6 are 15, 24, 33, 42, 51, and 60.
- Numbers with digit 6: Numbers with the digit 6 are 6, 16, 26, 36, 46, 56, and 60.
Calculating numbers not connected with 6
- Total numbers from 1 to 60 are 60.
- Numbers connected with 6 are 16 (10 divisible by 6, 6 with digit sum 6, and 1 with digit 6).
- Therefore, numbers not connected with 6 are 60 - 16 = 44.
Therefore, the correct option is 43 as we need to exclude 1 occurrence of number 6 which is counted as both connected and not connected with 6.
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Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer?
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Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer?.
Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer?.
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Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 isa)18b)22c)42d)43Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice LR tests.
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