Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of [2/(cot A – tan A)]?

The price of an article is cut by 36%, to restore to its original value, the new price must be increased by

Two successive discounts of 10% and 25% are given by Raman on a shirt. If the marked price of the shirt is Rs 600, then what is the value (in Rs) of discount?

If xy (x + y) = m, then the value of x3 + y3 + 3m is:

The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

X and Y started a business investing Rs 12000 and Rs 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs 12500. What is the share (in Rs) of Z in the profit?

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.