For the following questions answer them individually
Which of the following will yield maximum discount on ₹7,500?
1. Two successive discounts of 5% and 5%
2. Single discount of 10%
3. Two successive discounts of 8% and 2%
Study the given table and answer the question that follows.
The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years.
Find the percentage of students who passed from college B for all the years put together to the number of students from college B during all the years ( rounded to 2 decimals ).
If (a+ b + c) = 13, and (ab+ bc+ ca)= 54, find the value of $$\left(a^{2} + b^{2} + c^{2}\right)$$ .
If $$\frac{21 \cos A + 3 \sin A}{3 \cos A + 4 \sin A} = 2$$, then find the value of $$\cot A$$
A can complete a piece of work alone in 120 days, while A and B, working together, can complete this piece of work in 72 days. In how many days can B, working alone, complete this piece of work?
The interest earned on ₹21,000 in 3 years at simple interest is ₹6,400. What is the rate of interest per annum?
Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours. When the cistern is empty, 9 inlet pipes and 10 outlet pipes are simultaneously opened. After how many hours will the cistern be completely filled?
In a right triangle for an acute angle x, if $$\sin x \frac{3}{7}$$, then find the value of $$\cos x$$.
In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.
The area of a sector of a circle is 110 cm2 and the central angle of the sector is $$56^{\circ}$$, what is the radius of the circle?
(Use $$\pi = \frac{22}{7}$$)