Quantitative Aptitude
If a = 45° and b = 15°, what is the value of \(
\frac{\cos(a - b) - \cos(a + b)}{\cos(a - b) + \cos(a + b)}\) ?
\(2 - 2\sqrt{2}\)
\(3 - \sqrt{6}\)
\(3 - \sqrt{2}\)
\(2 - \sqrt{3}\)
The table given below shows the sales turnover of 5 different companies.
| Company | Sales turnover |
| A | 120 |
| B | 80 |
| C | 200 |
| D | 250 |
| E | 150 |
The sales turnover of company A is what percent of the sales turnover of company C?
Choose the option in which the numbers are in correct ascending order.
\( \frac{4}{5}, \frac{2}{3}, \frac{1}{11} \text{ and } \frac{2}{9} \)
\( \frac{1}{11}, \frac{2}{9}, \frac{2}{3} \text{ and } \frac{4}{5} \)
\( \frac{2}{9}, \frac{1}{11}, \frac{4}{5} \text{ and } \frac{2}{3} \)
\( \frac{2}{3}, \frac{4}{5}, \frac{1}{11} \text{ and } \frac{2}{9} \)
A student walked 6 km from his house to reach the metro station, then boarded a metro that has an average speed of 60km/h, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/h, then the speed of walking is ______.
A sum of Rs.10 is lent by a child to his friend to be returned in 11 monthly instalments of Rs. 1 each, the interest being simple. The rate of interest is:
\( 11 \tfrac{9}{11}\% \)
\( 21 \tfrac{9}{11}\% \)
\( 10 \tfrac{2}{11}\% \)
\( 9 \tfrac{1}{11}\% \)
If a - b = 8 and ab = 9, then the value of a + b is ______.