A motorboat takes 18 hours to go downstream, and it takes 36 hours to return the same distance. Find the ratio of the speed of the boat in still water to the speed of the stream.
In right-angled triangle ABC, ∠C = 90, CM is perpendicular on AB. If AB = 18 cm and BM = 6 cm, then find the length of CM.
6\(\sqrt{2}\) cm
4\(\sqrt{2}\) cm
7\(\sqrt{2}\) cm
2\(\sqrt{2}\) cm
The following table shows the categorisation of 100 students based on their marks in Physics and Chemistry in an examination.
| Subject | Marks out of 50 | ||||
| 40 and above | 30 and above | 20 and above | 10 and above | 0 and above | |
| Physics | 9 | 32 | 80 | 92 | 100 |
| Chemistry | 4 | 21 | 66 | 81 | 100 |
If a minimum of 40% marks in Chemistry is required to pursue higher studies in Chemistry, how many students will be eligible to pursue higher studies in Chemistry?
If 8a3+b3+27c3=18abc, then the relation among a,b,c is:
An article passing through two hands is sold at a total profit of 40% of the original cost price. If the first dealer makes a profit of 30%, then the profit percentage made by the second dealer is:
\(8\dfrac{6}{13}\%\)
\(6\dfrac{3}{13}\%\)
\(7\dfrac{1}{13}\%\)
\(7\dfrac{9}{13}\%\)
If sinA+cosA=\(\dfrac{1}{2\sqrt{2}}\) , then find the value of sin4A+cos4A
\(\dfrac{79}{128}\)
\(\dfrac{7}{13}\)
\(\dfrac{79}{126}\)
\(\dfrac{5}{13}\)