Correct Answer: Ajay's wife's age and Ajay's age are the same

Solution : Given:
Let Ajay's age be x years.
Rahul's age = x + 5 years
Rahul's wife's age = x + 5 – 6 = x – 1 years
Ajay's wife's age = x – 1 + 1 = x years

Let's check the options –
First option: Rahul's age and Ajay's wife's age are the same;
Rahul's age = x + 5 years, and Ajay's wife's age = x years. So, their age is not the same.
Second option: Ajay's wife's age and Ajay's age are the same;
Ajay's wife's age = x years, and Ajay's age = x years. So, both of them have the same age.
Third option: Rahul and Ajay are of the same age;
Rahul's age = x + 5 years, Ajay's age = x years. So, their age is not the same.
Fourth option: Rahul's and Ajay's age difference is 3 years;
Rahul's age = x + 5 years, Ajay's age = x years. Their age difference is 5 years.

So, only the statement of the second option is true. Hence, the second option is correct.