Quantitative Aptitude
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1.5 hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 .5 hours before the first car. Find the distance betwees A and B.
Simplify:
\[ \frac{\cos A}{1 + \tan A} - \frac{\sin A}{1 + \cot A} \]
In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC= 14cm. then what is BD : BC
The table given below shows the number of people in different states.
What is the ratio of number of people in state C to the number of people in state E?
| States | Number of people |
| A | 174 |
| B | 200 |
| C | 144 |
| D | 195 |
| E | 280 |
The table given below shows the number of truck sold by six companies.
Number of trucks sold by L are what percent of number of trucks sold by J?
| Companies | Truck |
| J | 40 |
| K | 60 |
| L | 80 |
| M | 110 |
| N | 120 |
| O | 80 |
If the volume of a sphere is 24,416.64 cm3, find its surface area (take π = 3.14) correct to two places of decimal.