27 cubes of edge 10 cm are arranged to create a larger cube. If the cubes at the eight corners are replaced with spheres of diameter 10 cm, what is the minimum number of cubes that do not touch any of the spheres?

What three-digit number can be made from the digits 2, 3, 5, and 7, such that no two digits of the three-digit number are the same and the three-digit number is divisible by each of the digits in it?

Some of the shapes in the image K are either flipped or rotated in the image J. What is the number of flipped shapes in image J? [Figure: see page 5 of source PDF]

What number will replace the question mark? [Figure: see page 5 of source PDF]

How many different patterns of pens are present in the given figure? [Figure: see page 5 of source PDF]

If 1 inch = 25 mm = 6 pica and 1 pica = 12 points = 16 pixels, what is 6 points + 2 inches + 3 picas + 8 pixels + 25 mm, represented in pixels?

Each of the rings in the chain in the given figure has an outer diameter of 5 cm and a cross-sectional diameter of 1 cm. What is the maximum end to end length of the chain in cm? [Figure: see page 4 of source PDF]

What is the highest number of occurrences of a shape in the figure shown? [Figure: see page 4 of source PDF]

With a straight cut you can slice a circular piece of paper into two pieces. A second cut that crosses the first cut will produce a maximum of four pieces. What is the maximum number of pieces that you can get with a total of four straight cuts?