A plane passes through three vertices of a cube and divides the cube into two parts, a green part and a blue part, and they remain together, as shown below. Eight such cubes are assembled to create a larger cube, where blue portion is on the inside as shown on the right. Calculate the volume of blue part in the larger cube, if the edge of the original cube is 1 cm. [Figure: see page 6 of source PDF]

Nine tiles containing parts of English letters in different Text Fonts, are shown below. What is the maximum number of COMPLETE letters that can be formed, by rearranging the tiles in a 3x3 grid? [Figure: see page 6 of source PDF]

A board game, and two views of a unique dice are shown below. This unique dice has only three faces with numbers one, two and three. Consider all the ladders are advantages that allow the player to jump from initial to final point. What is the minimum number of dice throws that i…

How many spheres are rotating in the space shown below? (The question contains an animated GIF image.) [Figure: see page 6 of source PDF]

How many unique patterns are there in the image? [Figure: see page 5 of source PDF]

A monospaced font is a font in which all characters are exactly of same width. A document uses a monospaced font for typesetting where each character is exactly 0.6 cm wide. A text line in this document contains only 10 words, where each word contains 6 characters. What is the le…

Shown below are three perspective views of a solid object. How many surfaces does the object have? Assume hidden surfaces to be flat. [Figure: see page 7 of source PDF]

Shown below is an arrangement of closely stacked spheres. Assume each one to be in contact with its immediate neighbour. What is the total number of points where the spheres touch each other? [Figure: see page 6 of source PDF]

Shown below is a configuration of an isosceles triangle sliced into eight parts, each of the same height. While the first and last parts of the triangle remain fixed, the remaining parts have been displaced horizontally, by multiples of 0.5 cm. What is the area of the grey portio…