The first and the last term of an ^@AP^@ are ^@19^@ and ^@210^@ respectively. What is the sum of the ^@ 14^{ th } ^@ term from the beginning and the ^@ 14^{ th } ^@ term from the end of that ^@AP?^@
A window in a building is at a height of ^@ 22 \space m ^@ from the ground. The angle of depression of a point ^@ P ^@ on the ground from the window is ^@ 30^\circ ^@. The angle of elevation of the top of the building from the point ^@ P ^@ is ^@ 45^\circ ^@. Find the height of the building.
In the given figure, the radii of two concentric circles are ^@ 14 \space cm ^@ and ^@ 9 \space cm ^@. ^@ AB ^@ is the diameter of the bigger circle and ^@ BD ^@ is a tangent to the smaller circle touching it at ^@ D ^@. What is the length of ^@ AD ^@ ?
Find the difference between the area of a regular hexagonal plot each of whose side is ^@ 46 \space m ^@ and the area of the circular swimming tank inscribed in it. ^@ \bigg[π = \dfrac { 22 } { 7 } \text { and } \sqrt { 3 } = 1.732 \bigg]^@
A can is in the shape of a frustum of a cone of height ^@35 \space cm^@. The diameters of its two circular ends are ^@12 \space cm^@ and ^@10 \space cm^@. Find the capacity of the can.(Use ^@ \pi = \dfrac { 22 } { 7 } ^@)
Usha and Vandita each have a bag that contains one ball each of the colors orange, grey, green, red and blue. Usha randomly selects a ball from her bag and puts it in Vandita's bag. Then Vandita randomly selects a ball from her bag and puts it in Usha's bag. What is the probability that after this the contents of the bag are the same as before?
Faces of a cube are marked with 1,2,3,4,5 and 6. Two views of cube are as shown below, if face 3 is opposite to face 6, what will be there on the bottom when 4 is at the top?
In this diagram, the triangle represents men, the square represents inspectors and the circle represents tall. Find the number of men who are inspectors and tall.
Nepal
