If 5/(7 - 4√3) = x - y√3, find the value of x + y.

Find the sum of the first 50 whole numbers.

Find the greatest number that will divide 45, 91, and 183 and leave the same remainder in each case.

If the difference between the 25th term and the 6th term of an arithmetic progression (AP) is 114, find the common difference.

An urn contains 4 black balls and 6 white balls. If 3 balls are drawn at random, what is the probability that all 3 balls are black?

A number consists of two digits. The sum of the digits is 5. If 55 is subtracted from the number, its digits are interchanged. Find the number.

A box contains 5 green balls and 3 red balls. Find the probability of selecting 3 green balls one by one with replacement.

A 24ml solution contains tonic and water in the ratio 3:5. If 8ml of the mixture is removed and replaced with 4ml of water, what will be the new ratio of tonic and water?

Sam invested Rs.25,000 at 10% per annum for one year. If the interest is compounded half-yearly, the amount received by Sam at the end of the year will be:

1 man and 5 women are able to complete a piece of work in 10 days. The same amount of work is completed by 4 men in 8 days. The number of days required by 5 men and 1 woman to complete the same work is: