Akash is thrice as good a workman as Arvind and therefore is bale to finish a job in 30 days less than Arvind. If they work together, in how many days can they finish the job?
\(11\tfrac{1}{4}\)
\(11\tfrac{3}{4}\)
\(12\tfrac{3}{4}\)
\(12\tfrac{1}{4}\)
Find the calue of x if \(15\tfrac{2}{3} \times 3\tfrac{1}{6} + 6\tfrac{1}{3} = 11\tfrac{7}{18} + x\)
\(137\tfrac{4}{9}\)
\(44\tfrac{5}{9}\)
\(29\tfrac{7}{9}\)
\(39\tfrac{5}{9}\)
The following table gives the number of employees in different departments of an organisation and percentage of females and males. Study the table carefully and answer the question.
| Department | Total No. of employees | % of females | % of males |
| IT | 640 | 45 | 55 |
| Accounts | 220 | 40 | 60 |
| Production | 800 | 30 | 70 |
| HR | 360 | 65 | 35 |
| Marketing | 400 | 40 | 60 |
Find the ratio of the number of females in production and HR departments together to the number of males in the IT and Accounts departments together.
What is the total surface area (in cm2) of a cone with a base radius of 28cm and height of 45 cm?\(\text{(use } \pi = \frac{22}{7}\text{)}\)
Arrange the ratios in ascending order \(5 : 3\tfrac{1}{3},\; 6\tfrac{1}{4} : 3\tfrac{1}{8} \text{ and } 3.5 : 4.5.\)
\(3.5 : 4.5 < 5 : 3\tfrac{1}{3} < 6\tfrac{1}{4} : 3\tfrac{1}{8}\)
\(6\tfrac{1}{4} : 3\tfrac{1}{8} < 5 : 3\tfrac{1}{3} < 3.5 : 4.5\)
\(5 : 3\tfrac{1}{3} < 3.5 : 4.5 < 6\tfrac{1}{4} : 3\tfrac{1}{8}\)
\(5 : 3\tfrac{1}{3} < 6\tfrac{1}{4} : 3\tfrac{1}{8} < 3.5 : 4.5\)