Explanation:

- To find the smallest four-digit number divisible by 18, 32, and 48, we must first find the least common multiple (LCM) of these numbers.

- The prime factorization of 18 is \(2 \times 3^2\).

- The prime factorization of 32 is \(2^5\).

- The prime factorization of 48 is \(2^4 \times 3\).

- The LCM uses the highest powers of each prime: \(2^5\) and \(3^2\).

- Calculating, the LCM is \(2^5 \times 3^2 = 32 \times 9 = 288\).

- The first four-digit number divisible by 288 is \(288 \times 4 = 1152\).

- Option:1, 1252 is not divisible by 288.

- Option:2, 1156 is not divisible by 288.

- Option:4, 1152 is divisible by 288.

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