In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth?

Number 136 is added to $5B7$ and the sum obtained is $7A3$, where $A$ and $B$ are integers. It is given that $7A3$ is exactly divisible by 3. The only possible value of $B$ is:

A family has two children along with their parents. The average of the weights of the children and their mother is $50$ kg. The average of the weights of the children and their father is $52$ kg. If the weight of the father is $60$ kg, then what is the weight of the mother?

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?

The ratio of a two-digit natural number to a number formed by reversing its digits is $4 : 7$. The number of such pairs is

An 8-digit number 4252746B leaves remainder ‘0’ when divided by 3. How many values of B are possible?