X alone can complete a work in 18 days and Y alone can do the same work in half time of the time taken by X. Working together what part of the same work they can complete in a day ?
\(\frac{1}{4}\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{1}{5}\)
What is the value of sin2 21 + sin2 69 ?
The line chart given below shows the salary of 6 employees of a company.
What is the ratio of salary of F to the salary of H ?
What is the value of \(\frac{\tfrac{1}{2}+\tfrac{3}{4}\div\tfrac{1}{4}+\tfrac{3}{4}\div\tfrac{1}{2}+\tfrac{1}{4}}{\tfrac{3}{4}\times\tfrac{1}{4}\div\tfrac{1}{2}-\tfrac{1}{2}\div\tfrac{3}{4}\times\tfrac{1}{4}}\) ?
\(\frac{126}{5}\)
\(\frac{49}{8}\)
\(\frac{89}{6}\)
\(\frac{116}{5}\)
What is the value of \((a + b + 2c)(a^2 + b^2 + 4c^2 - ab - 2bc - 2ca)\)?
\(a^3 + b^3 + 4c^3 - 6abc\)
\(a^3 - b^3 - c^3 - 6abc\)
\(a^3 + b^3 + 8c^3 - 6abc\)
\(a^3 - b^3 - 8c^3 - 3abc\)
The table given below shows the production of bike and truck by five companies.
| Companies | Production | |
| Bike | Truck | |
| D | 700 | 500 |
| E | 450 | 300 |
| F | 500 | 200 |
| G | 250 | 600 |
| H | 300 | 650 |
A1 = The difference between the total production of bikes and trucks by all the 5 companies.
A2 = The average production of bike by company D, F and H.
What is the value of (A2 / A1) ?