1. **State the problem:** We need to find an unknown number $x$ such that the product of $x$ and 4 is less than 35, and $x$ is divisible by 4. 2. **Write the inequality:** The product of the unknown number and 4 is less than 35, so we have: $$4x < 35$$ 3. **Solve the inequality:** Divide both sides by 4: $$x < \frac{35}{4} = 8.75$$ 4. **Consider divisibility:** The unknown number $x$ must be divisible by 4. The multiples of 4 less than 8.75 are 4 and 8. 5. **Check the options:** Among the options given: - a. 7 (not divisible by 4) - b. 9 (not divisible by 4) - c. 8 (divisible by 4 and less than 8.75) - d. 12 (divisible by 4 but greater than 8.75) 6. **Conclusion:** The only value that satisfies both conditions is $\boxed{8}$.