Quantitative Aptitude - Arithmetic Ability Questions

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 ?

If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?

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

When a number is increased by 24, it becomes 110% of itself. What is the number?

Average age of a team having 12 players is 23 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age (inyears) of the coach?

The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

If Shubhangi walks with a speed of 2 km/hr, then she reaches her school 5/2 minutes late but if she walks with a speed of 2.5 km/hr, then she reach 5 minutes before the scheduled time. What is the distance (in km) of her school from her house?

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?