A cube 4 cm x 4 cm x 4 cm has all its corners chamfered as shown in the figure below. On each of its faces it has got a small tetrahedral notch having edges of 1 cm each. What is the sum of the number of vertices and the number of edges in this solid? [Figure: see page 4 of source PDF]

10 people are standing in a circle. Each person is assigned a number as shown in the figure below. The first person (numbered 1) is removed. Thereafter, in the clockwise direction, every third person is removed and this is repeated till only two people are left. What is the sum o…

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?

In the 3 × 3 square on the left, the numbers from 1 to 9 have been filled so that the sum in each row / column / diagonal adds up to 15. If the same exercise is to be carried out for the 4 × 4 square, using the numbers from 1 to 16, what will be the sum of the numbers in each row…

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

“Betty bought some butter but the butter was too bitter, so she put a little gummy to make the bitter butter yummy.” In the above sentence, if you replace every letter ‘t’ with letter ‘b’, what is the total number of instances in which the same letter appears at least twice in a…

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]

A painter mixes white and black paints to create different shades in two different buckets. He prepares 10 kg in one bucket with 20% black paint in it. He then prepares 20 kg of another shade in the second bucket with 20% black paint in it. He pours the second bucket into the fir…

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?