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Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.
Q. The three digit is number is always divisible by:
- a)3
- b)18
- c)29
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Direction : Read the following Information carefully and answer the q...
Let the digits be a. y. z such that the number is 106r + 10y + z
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Thus, the omer rive 3 digit number which we may obtained using these 3 digits will be
100x + 10z + y
100y + 10x + z
100y + 10z + x
100z + 10x + y
100z + 10y + x
Now when we add ail the six three digit numbers possible to be formed by these three digits:
222 (x + y + z) = 2664 or x + y + z = 12
Also x + z = y/2 thus y = 8
Thus, x + z = 4
As the digits are non zero and distinct thus x and z have to be 1 and 3 but not necessarily in the same order. Thus we cannot say whether the number is 183 or 381.
Most Upvoted Answer
Direction : Read the following Information carefully and answer the q...
Analysis:
The sum of the digits at hundreds and unit’s place is equal to half of the digit at ten’s place. This means the three-digit number can be represented as ABC, where A, B, and C are the three distinct digits.
Given Information:
- A + C = B/2
- Sum of all possible three-digit numbers obtained using these three digits without repetition is 2664
Solution:
Step 1: Finding Possible Digits
Given that A, B, and C are three distinct non-zero digits, we can find the possible values by trial and error. By trying different combinations, we can find that A = 1, B = 6, and C = 2 satisfy the given conditions.
Step 2: Forming the Three-Digit Number
Using the digits 1, 6, and 2, we can form the three-digit number 162.
Step 3: Checking Divisibility
To check if the three-digit number is divisible by 3, we sum up the digits: 1 + 6 + 2 = 9. Since 9 is divisible by 3, the number 162 is also divisible by 3.
Therefore, the three-digit number formed using the digits 1, 6, and 2 is always divisible by 3.
Conclusion:
The correct answer is option 'A) 3' as the three-digit number formed is always divisible by 3.
The sum of the digits at hundreds and unit’s place is equal to half of the digit at ten’s place. This means the three-digit number can be represented as ABC, where A, B, and C are the three distinct digits.
Given Information:
- A + C = B/2
- Sum of all possible three-digit numbers obtained using these three digits without repetition is 2664
Solution:
Step 1: Finding Possible Digits
Given that A, B, and C are three distinct non-zero digits, we can find the possible values by trial and error. By trying different combinations, we can find that A = 1, B = 6, and C = 2 satisfy the given conditions.
Step 2: Forming the Three-Digit Number
Using the digits 1, 6, and 2, we can form the three-digit number 162.
Step 3: Checking Divisibility
To check if the three-digit number is divisible by 3, we sum up the digits: 1 + 6 + 2 = 9. Since 9 is divisible by 3, the number 162 is also divisible by 3.
Therefore, the three-digit number formed using the digits 1, 6, and 2 is always divisible by 3.
Conclusion:
The correct answer is option 'A) 3' as the three-digit number formed is always divisible by 3.
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Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Direction : Read the following Information carefully and answer the question below it.Rahul's roll number in lES Exam is a number consisting of three non-zero distinct digits, such that the sum of the digits at hundreds and unit’s place is equal to that half of the digit at ten’s place. Also the sum of all possible three digit numbers obtained using these three digits without repetition is 2664.Q. The three digit is number is always divisible by:a)3b)18c)29d)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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