Simplify the following expression.
\(\frac{13\tfrac{7}{9} \div \tfrac{2}{3} \text{ of } \tfrac{1}{3} + \tfrac{2}{3} \times 3}{\tfrac{7}{5} \text{ of } 325 - 20 + 7}\)
\(\frac{40}{1989}\)
\(\frac{31}{2210}\)
\(\frac{32}{221}\)
\(\frac{33}{217}\)
The value of cosec(58° + θ) − sec(32° − θ) + sin 15° sin 35° sec 55° sin 30° sec 75° is:
Some persons went on an outstation tour. The histogram shows their ages.
How many persons are less than 20 years of age?
Study the given graph and answer the question that follows.
The total production of paper by company B in 2015 and 2017 to 2019 was what percentage less than 90% of the total production of paper by company A in 2014 to 2019 (correct to one decimal place)?
In △ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm², then what will be the area of △BDE?
\(\frac{144}{17}\,\text{cm}^2\)
\(\frac{48}{5}\,\text{cm}^2\)
16 cm²
18 cm²
Study the given pie chart and answer the question that follows.
Total number of students admitted in a college = 700.
Distribution of the percentage of students in various courses
Percentage-wise distribution of the number of boys
| Cource | Number of boys |
| B.Sc. Maths | 40% |
| B.Sc. Physics | 68% |
| B.Sc. Chemistry | 58% |
| B.Sc. Computer Science | 80% |
| B.Com | 75% |
| BBA | 65% |
The ratio of the total number of girls admitted in B.Sc. Maths to the total number of students admitted in B.Sc. Maths is: