Jalil and Ismail are racing on a circular track. If Jalil takes 70 minutes and Ismail takes 56 minutes to complete the round. If they both start at the same point at the same time and go in same direction, after how many minutes will they meet again at the start point?
In the adjoining figure, ^@ S ^@ and ^@ T ^@ are points on the sides ^@PQ ^@ and ^@ PR ^@ respectively of ^@ \Delta PQR ^@ such that ^@ PT = 7 \space cm^@, ^@TR = 28 \space cm^@ and ^@ ST ^@ is parallel to ^@ QR ^@. Find the ratio of the areas of ^@ \Delta PST ^@ and ^@ \Delta PQR ^@.
A toffee is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire toffee is 35 mm and the diameter of the toffee is 12 mm then choose its correct surface area .
Emad and Ismail each have a bag that contains one ball each of the colors green, white, grey, blue, pink, red and black. Emad randomly selects a ball from his bag and puts it in Ismail's bag. Then Ismail randomly selects a ball from his bag and puts it in Emad's bag. What is the probability that after this the contents of the bag are the same as before?
In the given figure, ^@ XY ^@ and ^@ X'Y' ^@ are two parallel tangents to a circle with centre ^@ O ^@ and another tangent ^@ AB ^@ with the point of contact ^@ C ^@ intersects ^@ XY ^@ at ^@ A ^@ and ^@ X'Y' ^@ at ^@ B ^@. Find the measure of ^@ \angle AOB ^@.