Numbers Questions

If 49 is subtracted from the square of a number, then the result obtained is 576. What is the number?

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

The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?

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

ΔABC is right angled at B. BD is an altitude. DC = 9 cm and AC = 25 cm. What is the value of BC (in cm)?

Find the average of all prime numbers between 20 and 50.

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?