The hour hand on a clock completes a full rotation of 360 degrees in 12 hours. This means that for each hour on the clock, the hour hand moves 360 degrees divided by 12, which is 30 degrees.

In this case, the clock shows 12 o`clock noon initially and 5 o`clock in the evening. The time that has passed between these two times is 5 hours. Therefore, the hour hand will have moved 30 degrees multiplied by 5, which equals 150 degrees.

Option 1: 150° - This is the correct answer. As explained above, the hour hand will rotate 150 degrees when the clock shows 5 o`clock on the same evening.

Option 2: 140° - This is incorrect. The correct answer is 150 degrees, not 140 degrees.

Option 3: 125° - This is incorrect. The correct answer is 150 degrees, not 125 degrees.

Option 4: 120° - This is incorrect. The correct answer is 150 degrees, not 120 degrees.

Therefore, the correct answer is option 1, which states that the hour hand will rotate 150 degrees.