The smallest 4-digit number exactly divisible by 35 is 1015.
The question asks for the smallest four-digit number that is perfectly divisible by 35. According to a reference discussing the UPTET (Uttar Pradesh Teacher Eligibility Test) 2024, the answer is indeed 1015.
Here's a breakdown of why:
- The smallest four-digit number is 1000.
- To find the smallest four-digit number divisible by 35, we can start by dividing 1000 by 35. The result is approximately 28.57.
- Since we need a whole number for a number to be divisible, we round 28.57 up to 29.
- Multiplying 29 by 35 gives us 1015.
- This is the smallest number greater than or equal to 1000 that can be divided evenly by 35
The reference states: "∴ **1015** is the smallest four-digit number which is divisible by 35." This confirms the answer.
