A necklace made of white and black cube beads, arranged in a particular sequence, is shown in the figure. Find out the number of black beads. Blue mark indicates the start of the necklace and red mark indicates the end of the necklace. [Figure: see page 4 of source PDF]

The shown figure is first cloned and flipped on the axis PP, and the resulting image is cloned and flipped on the axis QQ. How many triangles does the resulting image have? [Figure: see page 3 of source PDF]

The figure shows an urban road map of a city. The boundary of the city is a perfect rectangle as indicated by the black dotted line. The grey lines indicate the major roads that run parallel to the edges of the city. The red line shows the route taken by a bus from point P to poi…

Find the ratio: Area of the hexagon / Area of the grey triangle (the grey triangle is drawn inside a regular hexagon as shown). [Figure: see page 3 of source PDF]

Find the digit that is not written in the same font as others. [Figure: see page 5 of source PDF]

The front view of a solid object is shown in the image. If the views from all six sides are the same, how many surfaces does it have? [Figure: see page 3 of source PDF]

The figure shows two views of the same solid. Count the number of surfaces. [Figure: see page 6 of source PDF]

The figure shows two views of an object. What is the least volume of a rectangular box required to pack six such objects? [Figure: see page 5 of source PDF]

What is the number of differences between the two images? [Figure: see page 5 of source PDF]