If \(A = 15^\circ\), then what is the value of \(\dfrac{11\sqrt{2}\,\cos 3A + 10\sin 2A}{7\sqrt{3}\,\sin 4A}\)?
\(\dfrac{11}{7}\)
\(\dfrac{21}{32}\)
\(\dfrac{32}{21}\)
\(\dfrac{7}{11}\)
If the market price of a bag is 25% above the cost price, and a discount of 18% is declared on it, then find the gain percentage.
The given pie-chart shows the data on A, B, O, and AB blood groups of 240 donors. Study the chart and answer the question that follows.
What is the ratio of the average donors of blood groups ‘A’, ‘O’, and ‘AB’ to the donors of blood group ‘B’?
Pipe A can fill a cistern in 4 hours and Pipe B can fill the same cistern in 5 hours. Pipe C can empty a full cistern in 3 hours.
If all three pipes are opened together, then the time (in minutes) taken to fill the tank is: (round to the nearest minute)
The number os students in a class who have answered correctly, incorrectly or not attempted each question in an exam is shown in table.The marks for each question are also listed. There is no negative or partial marking.
| Q. No | Marks | Answered correctly | Answered incorrectly | Not attempted |
| 1 | 1 | 20 | 10 | 10 |
| 2 | 2 | 15 | 15 | 10 |
| 3 | 5 | 20 | 20 | 0 |
| 4 | 10 | 12 | 15 | 13 |
Find the average of the marks obtained by the class in the examination.
If a+b=c, then the expression a3+b3-c3+3abc will be equal to