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Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x?
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Let x be the greatest number of 4 digits, which when divided by 15, 20...
Analysis:
To find the greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28, we need to find the LCM of these three numbers and then subtract 2.
Solution:
1. Find the LCM of 15, 20, and 28
- LCM(15, 20, 28) = 420
2. Subtract 2 from the LCM to get the greatest 4-digit number
- 420 - 2 = 418
3. Therefore, the greatest 4-digit number that satisfies the given conditions is 418.
Finding the Sum of Digits:
1. To find the sum of the digits of 418, we need to add the individual digits together.
- 4 + 1 + 8 = 13
2. Therefore, the sum of the digits of the greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28 is 13.
Conclusion:
The greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28 is 418, and the sum of its digits is 13.
To find the greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28, we need to find the LCM of these three numbers and then subtract 2.
Solution:
1. Find the LCM of 15, 20, and 28
- LCM(15, 20, 28) = 420
2. Subtract 2 from the LCM to get the greatest 4-digit number
- 420 - 2 = 418
3. Therefore, the greatest 4-digit number that satisfies the given conditions is 418.
Finding the Sum of Digits:
1. To find the sum of the digits of 418, we need to add the individual digits together.
- 4 + 1 + 8 = 13
2. Therefore, the sum of the digits of the greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28 is 13.
Conclusion:
The greatest 4-digit number that leaves a remainder of 2 when divided by 15, 20, and 28 is 418, and the sum of its digits is 13.
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Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x?
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Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x?.
Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. What is the sum of digit of x?.
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