This question is based on the following 3-digit numbers: 543 769 552 342 245 (Example - 697 – First digit = 6, second digit = 9 and third digit = 7) If in each of the numbers, 1 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the third digit of the same number?

Explanation

543, 769, 552, 342, 245 1. Add 1 to the first digit of each number: 543 → 643 769 → 869 552 → 652 342 → 442 245 → 345 2. Check divisibility of the modified first digit by the third digit: 643: First digit = 6, Third digit = 3. 6 is divisible by 3. 869: First digit = 8, Third digit = 9. 8 is not divisible by 9. 652: First digit = 6, Third digit = 2. 6 is divisible by 2. 442: First digit = 4, Third digit = 2. 4 is divisible by 2. 345: First digit = 3, Third digit = 5. 3 is not divisible by 5. Conclusion: In 3 numbers (643, 652, and 442), the modified first digit is exactly divisible by the third digit. Final Answer: The answer is 3.