From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.

Direction: Study the pie chart carefully and answer the given questions. The pie chart shows the percentage breakup of students in different classes from VI to X in the year 2017

If in 2018, the total number of students in class VI and class VII is increased by 10% each and the total number of students in class VIII is decreased by 20% then what is the difference between the total number of students in class VI and VII together in 2018 to that of the total number of students in class VIII in 2018?

If the sum of a number and its reciprocal be 2, then the number is-

Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?

A sum of money at double the rate of simple interest doubles itself in 10 years. In how much time will that amount be triple of itself?

A varies jointly with B and C. A = 6 when B = 3 and C = 2. Find A when B = 5 and C = 7.

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?