Numbers Questions

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

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

In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?

What is the least number that can be multiplied to 69120 to make it a perfect cube?

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

The sum of three consecutive even integers is 84. Which is the least integer among them?

Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?

The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.