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 from John’s house to Tim’s school was twice that of Tim’s speed from Tim’s house to John’s house. What was Tim’s average speed from John’s house to Tim’s school in km/hr?

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]

Identify the total number of differences in the images shown below. [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]

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

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

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…

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…

Each matchbox in the sequence shows five matchsticks, some with red heads, with the numbers 8, 10, 11, 13, 14, 17 below them. What number replaces the question mark for the last matchbox? [Figure: see page 11 of source PDF]