For the following questions answer them individually
In $$\triangle$$ABC,P is a point on BC such that BP : PC = 3 : 4 and Q is the midpoint of AP. Then ar($$\triangle$$ABQ): ar($$\triangle$$ABC) is equal to:
The radii of two bases of a frustum of height 10.5 cm is 5 cm and 3 cm. What is its volume in cm$$^3$$($$\pi = \frac{22}{7}$$)?
Table shows the production of rice (in million tonnes) of three states over six years.
What is the average production of rice in state A over the years (in million tonnes)?
Two articles are sold for ₹ 4880, on one, the seller gained 22% and on the other, he lost 20%. What is his overall gain or loss percentage, nearest to one decimal place?
Ina class of 60 students, 40% are girls. The average weight of the whole class is 59.2 kg and the average weight of the girls is 55 kg. What is the average weight of the boys?
In a circle of radius 13 cm, a chord is at a distance of 5cm from its center. What is the length of the chord?
The efficiencies of A, B and C are in the ratio of 2 : 3: 5. Working together, they can complete a task in 6 days. In how many days will A alone complete 20% of that task?
If $$3 \sin \theta = 4 \cos \theta, then \tan^2 \theta + \sin \theta - \cos \theta$$ is equal to: