Three sides, each with circles and connecting lines, show three faces of a three-dimensional cube. (An example of such a cube is shown on the right.) Choose the correct option that corresponds to a cube with the three sides shown below. [Figure: see page 17 of source PDF]

A polygonal shape moves through a series of numbered tiles as shown in the figure. The shape transforms itself at every tile according to rules given below. There can be one or more transformations on any given tile. Choose the resultant polygon from the options below. i. At even…

From the given options, choose the correct shoe sole that pairs with the sole shown on the left. [Figure: see page 17 of source PDF]

Choose the option that comes next in the pattern sequence given below. [Figure: see page 16 of source PDF]

A circular palette with three pigment colours of the same quantity are mixed in the sequence shown below. Choose the correct resultant colour from the options. [Figure: see page 17 of source PDF]

Figure 1 shows the top view of a lawn sprinkler. The Swastika-shaped arms rotate freely around a central pivot which supplies water to the arms. Water is sprinkled through the nozzles located at the end of the arms, which causes the sprinkler head to rotate. Now, imagine the whol…

Four spheres are merged as shown in the box. After merging, the portion that is common to all of them (i.e. intersection) is removed. Identify the removed portion from the options given below. [Figure: see page 18 of source PDF]

Identify which of the musical instruments mentioned below use(s) the technique of hammering on strings to produce sounds: Santoor, Piano, Harmonium and Keyboard.

A point P is placed at a distance of 12 cm from the centre of a circle of radius 17 cm. How many integer length chords of this circle can pass through P?