Numbers Questions

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

What is the largest 4 digit number that is exactly divisible by 93?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

Of the 3 numbers whose average is 64, the first number is 1/3 times the sum of other 2. The first number is

What least number must be added to 213, so that the sum is completely divisible by 9?

Which of the following is equivalent to 0.565656...?