Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

If (1 - sinA)/(1 + sinA) = x, then x is

Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?