Identify the number using the given clues.i) It is an odd number. ii) ...
Clue Analysis
To find the number based on the clues provided, we will analyze each clue step by step.
Clue i: Odd Number
- The number must end with an odd digit (1, 3, 5, 7, or 9).
Clue ii: Hundreds Digit
- The greatest even digit is 8.
- So, the hundreds digit is 8.
Clue iii: Tens Digit Calculation
- Calculate \( 423 - 279 \):
- \( 423 - 279 = 144 \)
- The ones digit of 144 is 4.
- Therefore, the tens digit of our number is 4.
Clue iv: Thousands Digit Calculation
- Calculate \( 194 + 278 \):
- \( 194 + 278 = 472 \)
- The tens digit of 472 is 7.
- Thus, the thousands digit of our number is 7.
Final Number Construction
With all the clues analyzed, we can construct the number:
- Thousands digit: 7
- Hundreds digit: 8
- Tens digit: 4
- Ones digit: Must be odd (1, 3, 5, 7, or 9)
This gives us the structure: **784X** (where X is an odd digit).
Considering the options:
- Option A: 7949 (valid structure)
- Option B: 6847 (invalid hundreds digit)
- Option C: 7842 (invalid ones digit)
- Option D: 7843 (valid structure)
Conclusion
The valid options fitting all clues are **7949** and **7843**. Among them, **7843** fits all criteria perfectly, making it the correct choice.
Thus, the final answer is: **Option D: 7843**.
Identify the number using the given clues.i) It is an odd number. ii) ...
Identifying the Number based on the Clues:
- Odd Number: The number is odd, so it will not end with an even digit.
- Hundreds Digit: The hundreds digit is the greatest even digit, which is 8.
- Tens Digit: The tens digit is the ones digit of (423 - 279), which is 4.
- Thousands Digit: The thousands digit is the tens digit of (194 + 278), which is 7.
Therefore, putting all the clues together, the number that satisfies all the conditions is 7843.
Hence, the correct option is Option D: 7843.
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.