The image given below is made out of separate pieces. What is the least number of pieces that need to be moved and/or rotated and/or flipped for achieving symmetry about the central vertical axis? [Figure: see page 8 of source PDF]

Two perspective views of the same solid object are shown below. Count the total number of surfaces in the object. Assume hidden surfaces to be flat. [Figure: see page 8 of source PDF]

A logo was designed by creating a pattern of orange petals using four semicircles. These petals were then inscribed in a green circular shape with an inner diameter of 14√2 (fourteen times square root of two) units, what is the area of the orange part in the logo? (Assume π = 22/…

Except for one number, all the four-digit numbers given below are written using a single font. Identify the number that does not use the same font as the other numbers. [Figure: see page 7 of source PDF]

Shyam runs a dairy. In his cattle herd, each white cow gives 12 litres of milk, each brown cow gives 7 litres of milk and each yellow cow gives 10 litres of milk every day. He has drawn a sketch of his herd which is shown below. Using this sketch, calculate the amount of milk (in…

The figure shows two concentric equilateral triangles with a circle within, such that the circle touches all the edges of the triangle. If the radius of the circle is √3 (square root of three), what is the total length of the star shaped outer border formed by the two intersectin…

What is the area (in cm²) of the black portion, if the square is of length 16 cm? [Figure: see page 6 of source PDF]

In a new form of decimal system, the numbers 0 to 9 are represented by a new set of symbols. For example, the equation 1 + 4 = 5 is represented as equation (i). If in the solution to equation (iv) one digit appears twice, what number will replace the question mark? [Figure: see p…

The figure below shows a hinged structure made up of 12 sticks. The structure can be elongated and compressed by changing the angle ABR. As shown in the figure, the distance between B and Q is 150√6 (one hundred and fifty times root six) units when the angle ABR is 90 degrees. Wh…