If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 4123957, what will be the difference between the greatest and smallest digits in the new number thus formed?
If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 4123957, what will be the difference between the greatest and smallest digits in the new number thus formed?
यदि संख्या 4123957 में प्रत्येक सम अंक में 2 जोड़ा जाए और प्रत्येक विषम अंक में से 1 घटाया जाए, तो इस प्रकार बनी नई संख्या में सबसे बड़े और सबसे छोटे अंकों के बीच का अंतर क्या होगा?
Detailed Solution & Logic
Correct Answer:
8
Step 1: Apply the rule
- Even digits → +2
- Odd digits → −1
Now transform each digit:
| Digit | Type | Operation | New Digit |
|---|---|---|---|
| 4 | Even | 4 + 2 | 6 |
| 1 | Odd | 1 − 1 | 0 |
| 2 | Even | 2 + 2 | 4 |
| 3 | Odd | 3 − 1 | 2 |
| 9 | Odd | 9 − 1 | 8 |
| 5 | Odd | 5 − 1 | 4 |
| 7 | Odd | 7 − 1 | 6 |
👉 New number = 6042846
Step 2: Find greatest and smallest digits
- Greatest digit = 8
- Smallest digit = 0
Step 3: Difference
8−0=88 - 0 = 88−0=8
✅ Final Answer: 8
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