A rhombus is inscribed in a rectangle which in turn is inscribed in a circle as shown in the figure below. P is the centre of all three shapes, PQ = QR = 5 units. What is the perimeter of the rhombus? [Figure: see page 9 of source PDF]

A digital clock reads hours and minutes. The sum of the digits it displays at 12:00 is 3 (1+2+0+0). At 12:01 it is 4 (1+2+0+1) and so on. What is the sum of all the digits it displays from 12:00 to 12:59?

If colour and size differences are not to be counted as unique, how many types of leaves occur only once? [Figure: see page 9 of source PDF]

A smaller square of 5 cm is placed inside a bigger square such that all 4 corners of the smaller square are touching the sides of the bigger square. If the smallest distance between the corners of the two squares is 3 cm, what is the area of the bigger square in sq. cm that falls…

When young Moosa started selling dosas on a street corner to support his daughter Lisa’s education, his age was six times that of Lisa’s. He started selling dosas for ₹2 each and he increased its price by ₹1 every year. Lisa grew up to be a successful lawyer and on Moosa’s 60th b…

Four views of a convex solid are shown. How many surfaces does the solid have? [Figure: see page 7 of source PDF]

There are apples and oranges in a basket that can carry a maximum of 50 fruits. Some fruits are rotten and some are good. The number of rotten apples is twice the number of good apples. The number of good oranges is twice the number of rotten oranges. The number of oranges is thr…

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

If each word is written in a single font and normal and bold versions of the same font are not to be counted separately, how many fonts are used in the given set of words? [Figure: see page 6 of source PDF]