Quantitative Aptitude - Arithmetic Ability Questions

A boat goes 15 km upstream and 10 1/2 km down stream in 3 hrs 15 min. It goes 12 km upstream and 14 km downstream in 3 hrs. What is the speed of the boat in still water?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

Which of the following points lies on the line 3x -­ 4y = ­-13?

If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in m) of the equilateral triangle.

Which of the following is the CORRECT option for the triangles having sides in the ratio of 3:4:6?

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the tower was 45 m high, how far away from the tower was the platform positioned?

In the following question, select the odd letter/letters from the given alternatives.

If tanα = 2 - 1, then the value of  tanα - cotα = ?