Mathematical Reasoning

A circle is inscribed within an equilateral triangle of area sqm. The circumference of the circle is

The linear scale of a map is 1 cm = 2 m. The drawing dimensions of an on-site rectangular plot measuring 25 m × 40 m will be

When a clock is seen through a mirror, the hour arm and minute arm are seen at 9 and 4 respectively, so that the time seen is 9:20. What will be the actual time after 15 minutes?

The given matchstick figure shows 5 squares, how many minimum number of sticks are required to be moved to achieve 7 squares.

Jack leaves school by walk to go to his home passing many building units. If Jack walks along the depicted path, what is the distance that he has walked ?
Assume the width of building as 1 unit and length of the building as 2 units.

Which number replaces the question mark ?

A four-person crew from Super Colors is painting Mr. Ranjith's house. Manu is painting the front of the house. Raju is in the alley behind the house painting the back. Jack is painting the window frames on the north side, Shanu is on the south. If Manu switches places with Jack, and Jack then switches places with Shanu, where is Shanu ?

Look carefully at the sequence of arrows to find the pattern. Which arrow replaces the question mark ?

Statement: Sound wave cannot propagate through a vacuum but light can
Reason: Sound wave cannot be polarized but light can

The V sign is a hand gesture as seen in the image below. When its usage was first introduced in January 1941 what did it stand for?