Numbers Questions

What least number must be added to 4131, so that the sum is completely divisible by 19?

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

Find a two digit number which is exactly three times the product of its digits?

What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

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

How many numbers less than 200 are multiples of both 5 and 6?

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

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?