Quantitative Aptitude - Arithmetic Ability Questions

If a:b = 5:8, find the value of (6a -­ 5b)/(a + 2b).

The marked price of a trouser is twice of the cost price. To earn 36% profit, what should be the value of discount (in percentage)?

In the fig. ∆ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

If  tan2θ + cot2θ = 2, then what is the value of 2sec θ cosec θ?

The area of a circle is 616 sq cm, find its circumference?

The average height of 40 sticks is 154 cm. Some sticks of average height 160 cm are taken out. If the new average height is 150 cm, then how many sticks are remaining?