How many times is the area of the outermost triangle compared to the area of the innermost triangle (triangle \(⇒\) incircle \(⇒\) inscribed triangle \(⇒\) incircle \(⇒\) inscribed triangle)?
A tetrahedral puzzle is made of smaller tetrahedrons. One face of the larger tetrahedron is shown divided into smaller ones. Assuming all faces are the same, how many small tetrahedrons are there on the faces of the larger tetrahedron?
Afreen has biscuits of four different rectangular shapes (P, Q, R, S), all with the same perimeter and thickness. Students pick biscuits in descending order of volume. Which biscuits should Jai and Jaspreet pick?
A solid object made of cubes is shown. It is symmetric about all three axes, and has no cavities. How many cubes does the solid contain?
A solid is drilled using a cylindrical drill in the given direction. How many surfaces will the solid have after the drilling is complete?
A crocodile at point P sees four meatballs at A, B, C, and D across the river. The crocodile moves with the same speed on land and in water. The river flows at half the crocodile’s speed. Which meatball can it catch in the shortest time?
The figure shows a hinged structure made up of 12 sticks. The distance BQ is $150\sqrt{6}$ units when $\angle ABR = 90^\circ$. What will the distance BQ be when $\angle ABR = 60^\circ$?
What is the area of the black portion in the square of side 16 cm?
Which number will replace the question mark in the diamond puzzle?
The figure shows two concentric equilateral triangles with a circle within, such that the circle touches all edges of the triangle. If the radius of the circle is $\sqrt{3}$, what is the total length of the star-shaped outer border formed by the two intersecting triangles?
A logo was designed with four orange petals made from semicircles inscribed in a circle of diameter $14\sqrt{2}$ units. The orange part is the total area of the four petals. Find its area. (Take $\pi = \tfrac{22}{7}$).
The images show iconic art forms/products of certain countries. Identify the correct set of countries.
Multiple pages of a book are printed on a large sheet, folded and cut to form a booklet. In this 16-page booklet, mistakes occurred in printing as shown in the diagram. Which statements are TRUE about the final booklet?
Refer to the metal artefact shown, made using traditional manual tools and processes. Identify the correct set of operations.
The four figures below show a hand gripping a cylinder. In which of these figures will the grip exert the maximum force?
Refer to the wooden product shown and read the statements: 1. It has provision for cracking nuts, and it has a good grip. 2. It has a good grip, and it has provision for opening cans as well as cracking nuts. 3. It has provision for a grinding nuts, and its making involves drilling, twisting, and casting. 4. Its making involves drilling, turning, and twisting.
The figures show simplified shapes of the neck portion of the vertebral column of a horse. Which of the options is most correct?
The grid of squares shown in the figure is to be tiled (covered with tiles) with the tiles shown in the options. The covering tiles must not overlap and should not have gaps around them. Only four squares in the middle are not to be tiled. Once a tile is chosen, other tiles must be of that type only. Tiles can be flipped and rotated if required. Which of the tiles can be used to tile the given grid?
Refer to the tools below and read the statements. Based on what you can see, which of the following options is/are correct?
Which option will replace the question mark as the frog jumps in an animation sequence?
