If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
यदि संख्या 21673458 में प्रत्येक विषम अंक में 1 जोड़ा जाए तथा प्रत्येक सम अंक में से 1 घटाया जाए, तो बनने वाली नई संख्या में सबसे बड़े और सबसे छोटे अंक का गुणनफल क्या होगा?
Detailed Solution & Logic
Correct Answer:
8
✅ Solution:
Given number: 21673458
Rule:
- Add 1 to each odd digit
- Subtract 1 from each even digit
Let's change each digit:
| Digit | Type | New Digit |
|---|---|---|
| 2 | Even | 1 |
| 1 | Odd | 2 |
| 6 | Even | 5 |
| 7 | Odd | 8 |
| 3 | Odd | 4 |
| 4 | Even | 3 |
| 5 | Odd | 6 |
| 8 | Even | 7 |
New number = 12584367
Now find:
- Greatest digit = 8
- Smallest digit = 1
Product = 8 × 1 = 8
Correct Answer: 8
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