Quantitative Aptitude - Arithmetic Ability Questions

In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

If cotA + cotB = x, then value of x is

Umar and Avinash started a partnership with investments of Rs. 10000 and Rs. 15000, respectively. But due to a financial emergency the latter had to withdraw his investment after 8 months. In what ratio should the profit of the first twelve months be shared among the duo?

4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age ?

Two numbers are 30% and 60% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

After two successive discounts of 20% and 12% an article is sold for Rs 16896. What is the marked price (in Rs) of the article?

By selling a used phone for Rs.7260 Sanjan got 34% less than what it cost him to buy it a few years ago.At what price should Sanjan have sold the phone to gain a profit of 5%?

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 12 cm and DE = 8 cm, find the length of BD.