What is the greatest common factor of 2³ × 7² and 2⁵ × 3¹?

A man invested a certain sum in scheme A at 15% p.a. for 2 years and earned Rs 1950 as simple interest. He increased his sum by Rs. ‘x’ and invested in another scheme B at 10% p.a. C.I. for 2 years and received Rs. 1680 as compound interest. Find the value of ‘x’. 

Directions: The line graph shows the number of work visas issued by a country in each year from 2011 to 2016. Study the diagram and answer the following questions . 

Number of work visas issued in 2016 were lower than the previous year by ? 

If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:

A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

What is the value of $$ {0.55 × 4.5\over 0.81}$$ ?

Which of the following numbers is divisible by 25?

Directions: Study the graph carefully and answer the following questions.

Find the respective ratio of the number of students in school D and school F.