Given below are two statements:

Statement I: The length and breadth of a rectangle are increased by 10% and 20% respectively, then its area increases by 23%.

Statement II: In 12 hours, the hour hand and the minute hand coincide 11 times.

In light of the above statements, choose the correct answer from the options given below:

Correct option is D

Statement I is false but Statement II is true.

Statement I: If the length and breadth of a rectangle are increased by 10% and 20% respectively, then its area increases by 32%, not 23%. Let the original length and breadth be l and b, respectively. The new length and breadth are 1.1l and 1.2b. The new area is 1.1l * 1.2b = 1.32lb*, which is a 32% increase from the original area lb*.
Statement II: In 12 hours, the hour hand and the minute hand coincide 11 times. This statement is true. The hour and minute hands coincide slightly more than once every hour, but less than 12 times in 12 hours because their starting and ending positions overlap.
Therefore, Statement I is false, and Statement II is true, which corresponds to option 4.