For the following questions answer them individually
A car starts at 3 p.m.at a speed of 50 km/h. Another car follows it at 4 p.m.at a speed of 75 km/h. At what time will the two cars will meet?
The area of a trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?
The LCM and ratio of three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:
If $$1 + \sin^2 \theta - 3 \sin \theta \cos \theta = 0$$, then the value of $$\cot \theta$$ is:
If $$\cos^4 \alpha - \sin^4 \alpha = \frac{5}{6}$$, then the value of $$2 \cos^2 \alpha - 1 = ----------$$
Number of units manufactured (M) and number of units sold (S) (in hundred) by a company over the years.
What is the average number of units sold by the company per year?
In a circle of radius 5 m, AB and CD are two equal and parallel chords of length 8 m each. What is the distance between the chords?
Simplify the following expression.
$$25 \div 5$$ of $$12 \times 2 − 9 \div 27$$ of $$3 \times 5 − 14 \div 28 \times 4$$
In $$\triangle ABC, 2 \angle A = 3 \angle B = 6 \angle C$$. What is the value of the largest angle among these three angles?