Had Nora scored 8 more marks in her mathematics test out of 30 marks, 4 times these marks would have been the square of her actual marks. How many marks did she get in the test?
In the given figure, ^@ XP ^@ and ^@ XQ ^@ are the two tangents to a circle with center ^@ O ^@ drawn from an external point ^@ X ^@. ^@ AB ^@ is another tangent touching the circle at ^@ R ^@, then ^@ XA + AR ^@ is equal to:
A camp is made in the form of a conic frustum, surmounted by a cone. The diameters of the base and top of the frustum are ^@ 6 \space m^@ and ^@ 3 \space m ^@ and its height ^@ 7.5 \space m ^@. The height of the camp is ^@ 12 \space m ^@. Find the quantity of canvas required to make the camp.
Rawan and Akku each have a bag that contains one ball each of the colors blue, orange, grey, yellow and green. Rawan randomly selects a ball from her bag and puts it in Akku's bag. Then Akku randomly selects a ball from his bag and puts it in Rawan's bag. What is the probability that after this the contents of the bag are the same as before?
Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in at least two subjects.