A tetrahedron of side 18 units and a cone having base diameter of 10 units are cutting through a sphere as shown. Count the total number of surfaces in the resultant sphere. [Figure: see page 8 of source PDF]

In the figure given below, the area of the largest regular hexagon is 720 units. What is the area of the shaded portion? [Figure: see page 7 of source PDF]

Tim cycled from his house to his friend John’s house and then on to his (Tim’s) school without stopping. The average speed for his entire journey was 26 km/hr. The distance from John’s house to Tim’s school is 0.3 times the distance from Tim’s house to John’s house. Tim’s speed f…

Count the number of human figures in the picture. [Figure: see page 7 of source PDF]

Identify the total number of differences in the images shown below. [Figure: see page 8 of source PDF]

A dice throw can result in the numbers 2, 3, 5 or 6. Every 4th throw will result in 3. What is the minimum number of times the dice has to be thrown for the pawn to move from zero to reach exactly at 100? (Snakes-and-ladders style board with ladders shown.) [Figure: see page 6 of…

Count the number of cats in the given image. [Figure: see page 9 of source PDF]

What is the maximum number of stars that can be packed inside the blue colour boundary including the one that is shown in the image below? The stars can be scaled but should not overlap. At least 4 points of every star should touch the blue colour boundary. [Figure: see page 5 of…

Two trains of unequal length have speeds of 60 and 50 km/hr. When they travel in opposite directions in straight line tracks, they take 9 seconds to completely cross each other. When they travel in the same direction, a person in the faster train sees the slower train for 18 seco…