The figure shows the top view, front view, and side view of a 3D solid. What is the minimum number of surfaces that a solid with these views can have? Assume no hidden lines.
A light source is attached to a rod fixed in the centre of the ceiling of a square room. It rotates 360° and projects a red beam onto the four walls. Which option correctly shows the beam’s path?
Shown in the four figures A, B, C, and D on the right, are broken lines drawn on a transparent sheet. Each figure is folded over along the dotted lines. Identify the correct option that will generate the motif shown on the left.
Which option will replace the question mark?
The word given below uses a particular font. Which option belongs to the same font?
Match the given states with the corresponding words written in Sinhala. Find the correct match for Maharashtra.
Refer to the tools below and read the statements. Based on what you can see, which of the following options is/are correct?
A set of two frames with square openings when perfectly overlapped allow light through in certain patterns. Four sets are shown: frames are either hinged (A, B) or pivoted (C, D). The red frame is fixed and the blue frame is movable. Which option(s) will allow the light to pass through as shown in the target pattern?
The word “Soulful” below uses a particular font. Which option(s) belong to the same font?
Which of the following birds is/are native to (found in) India?
Image P shows a portion of a photograph. Image Q is the same portion after image operations. Identify the correct operation(s).
The following patterns are made on a wall by using ceramic tiles. Which of the given patterns is/are made from a single type of tile?
If the geometric solid blocks shown below are cut along a single flat plane, which of these can have the cross-section of a regular hexagon (all sides equal)? Assume all blocks are extruded from polygons with sides of equal length.
In a 3D structure made of cubes of equal size, an L-shaped hole is made by removing a few cubes, as shown on the left. Which of the 3D structures in the options on the right would successfully pass through the L-shaped hole, given that they are also made of cubes of the same size?
Which of the options on the right can be formed by folding the profile shown on the left?
Tile X was used to create a seamless pattern when arranged as shown below. Which tile(s) from the options will create a seamless pattern (pattern without gaps)?
Shyam’s herd: White cow = 12 L/day, Brown cow = 7 L/day, Yellow cow = 10 L/day. Using the picture, find total daily milk production. \begin{center}
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 image is composed of separate black pieces. What is the least number of pieces that must be moved and/or rotated and/or flipped to make the figure mirror–symmetric about the central vertical axis?
Two perspective views of the same solid object are shown. Count the total number of surfaces in the object. Assume hidden surfaces are flat.
Except for one number, all the four-digit numbers given below are written in the same font. Identify the number that does not use the same font as the others.
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?
What is the area of the black portion in the square of side 16 cm?
In a new decimal system, digits 0–9 are replaced with symbols. Equations are given. In (iv), one digit appears twice. Which digit replaces the question mark?
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 $\angle ABR = 60^\circ$?
