Numbers Questions

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?

A number is greater than 58 times its reciprocal by 3/4. What is the number?

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

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.

A number is greater than twice its reciprocal by 31/4. Find the number.

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

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?