For the following questions answer them individually
In a class of 60 students, 20 are girls. The average weight of the boys in the class is 40 kg, while that of all the girls is 35 kg. What is the average weight (in kg) of the entire class (correct to two decimal places)?
If $$\cosec \theta + \cot \theta = m$$, find the value of $$\frac{m^{2} - 1}{m^{2} + 1}$$
Three numbers are in the ratio $$\frac{4}{5} : \frac{5}{6} : \frac{9}{10}$$. The difference between the smallest and the greatest numbers is 12. Find the number which is NEITHER the smallest NOR the greatest.
The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is:
The following table shows the marks distribution among the students in a class.
How many student scored less than 20 marks?
A dishonest shopkeeper sells millet at ₹20 per kg which he has bought at ₹16 per kg and he is giving 800 gm instead of 1000 gm. Find his actual profit percentage.
A can do a certain piece of work in 1.5 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 30 days and C alone can do it in 120 days, then how many days will B take to do this piece of work alone?
Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?
The simple interest on ₹800 for 6 years at 5.5% per annum is equal to the simple interest on ₹600 at 4% per annum for a certain period of time. The period of time is: