1. 
The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?



2. 
In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?



3. 
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?



4. 
How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?



5. 
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?




