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In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is
Correct answer is '7'. Can you explain this answer?
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In a six-digit number, the sixth, that is, the rightmost, digit is the...
Let the six-digit number be ABCDEF
F = A+B+C, E= A+B, C=A, B= 2A, D= E+F
D=2A+2B+C=6A+C, we have to find the largest possible value of D
The only possible value of A is 1 because if A = 2, D = 12+C even
if C is 0 D is two digit number If A= 1, then C = 1
D = 6*1+1=7
F = A+B+C, E= A+B, C=A, B= 2A, D= E+F
D=2A+2B+C=6A+C, we have to find the largest possible value of D
The only possible value of A is 1 because if A = 2, D = 12+C even
if C is 0 D is two digit number If A= 1, then C = 1
D = 6*1+1=7
Most Upvoted Answer
In a six-digit number, the sixth, that is, the rightmost, digit is the...
Given information:
In a six-digit number:
- The sixth digit is the sum of the first three digits.
- The fifth digit is the sum of the first two digits.
- The third digit is equal to the first digit.
- The second digit is twice the first digit.
- The fourth digit is the sum of the fifth and sixth digits.
Objective:
To find the largest possible value of the fourth digit.
Method:
We can solve this problem by considering the given conditions and evaluating the possibilities step by step.
Step 1: The third digit is equal to the first digit.
- Let's assume the first digit is 'x'. So, the third digit is also 'x'.
Step 2: The second digit is twice the first digit.
- The second digit is '2x'.
Step 3: The fifth digit is the sum of the first two digits.
- The fifth digit is 'x + 2x = 3x'.
Step 4: The fourth digit is the sum of the fifth and sixth digits.
- The fourth digit is '3x + (x + 2x) = 6x'.
Step 5: The sixth digit is the sum of the first three digits.
- The sixth digit is 'x + x + 2x = 4x'.
Step 6: We need to find the largest possible value of the fourth digit.
- To find the largest possible value of 'x', we need to consider the largest possible value for the other digits.
Step 7: Evaluating possibilities.
- Since the sixth digit is the sum of the first three digits, it cannot be greater than 27 (9 + 9 + 9 = 27). So, the maximum value of '4x' can be 27.
- If '4x' is equal to 27, then 'x' would be 6. But in this case, the third digit (x) would be equal to the first digit (6) which violates the condition.
- The next possibility is '4x' = 24. In this case, 'x' would be 6. But again, the third digit (x) would be equal to the first digit (6) which is not possible.
- The next possibility is '4x' = 21. In this case, 'x' would be 5. But again, the third digit (x) would be equal to the first digit (5) which is not possible.
- The next possibility is '4x' = 18. In this case, 'x' would be 4. But again, the third digit (x) would be equal to the first digit (4) which is not possible.
- The next possibility is '4x' = 15. In this case, 'x' would be 4. But again, the third digit (x) would be equal to the first digit (4) which is not possible.
- The next possibility is '4x' = 12. In this case, 'x' would be 3. But again, the third digit (x) would be equal to the first digit (3) which is not possible.
- The next possibility is '4
In a six-digit number:
- The sixth digit is the sum of the first three digits.
- The fifth digit is the sum of the first two digits.
- The third digit is equal to the first digit.
- The second digit is twice the first digit.
- The fourth digit is the sum of the fifth and sixth digits.
Objective:
To find the largest possible value of the fourth digit.
Method:
We can solve this problem by considering the given conditions and evaluating the possibilities step by step.
Step 1: The third digit is equal to the first digit.
- Let's assume the first digit is 'x'. So, the third digit is also 'x'.
Step 2: The second digit is twice the first digit.
- The second digit is '2x'.
Step 3: The fifth digit is the sum of the first two digits.
- The fifth digit is 'x + 2x = 3x'.
Step 4: The fourth digit is the sum of the fifth and sixth digits.
- The fourth digit is '3x + (x + 2x) = 6x'.
Step 5: The sixth digit is the sum of the first three digits.
- The sixth digit is 'x + x + 2x = 4x'.
Step 6: We need to find the largest possible value of the fourth digit.
- To find the largest possible value of 'x', we need to consider the largest possible value for the other digits.
Step 7: Evaluating possibilities.
- Since the sixth digit is the sum of the first three digits, it cannot be greater than 27 (9 + 9 + 9 = 27). So, the maximum value of '4x' can be 27.
- If '4x' is equal to 27, then 'x' would be 6. But in this case, the third digit (x) would be equal to the first digit (6) which violates the condition.
- The next possibility is '4x' = 24. In this case, 'x' would be 6. But again, the third digit (x) would be equal to the first digit (6) which is not possible.
- The next possibility is '4x' = 21. In this case, 'x' would be 5. But again, the third digit (x) would be equal to the first digit (5) which is not possible.
- The next possibility is '4x' = 18. In this case, 'x' would be 4. But again, the third digit (x) would be equal to the first digit (4) which is not possible.
- The next possibility is '4x' = 15. In this case, 'x' would be 4. But again, the third digit (x) would be equal to the first digit (4) which is not possible.
- The next possibility is '4x' = 12. In this case, 'x' would be 3. But again, the third digit (x) would be equal to the first digit (3) which is not possible.
- The next possibility is '4
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In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer?
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In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer?.
In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit isCorrect answer is '7'. Can you explain this answer?.
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