List of practice Questions

Which option will replace the question mark?
A toy is shown on the left. When the wheels of this toy rotate, the fan is also required to spin. If one pair of gears is to be used exclusively, which option will make this possible?
Which spanner from the options will fit the maximum number of nuts shown on the left?
Which option shows the correct perspective drawing of the object when it is viewed from the direction as shown on the left?
A red dot is connected with two non-elastic strings \(P\) and \(Q\) of equal length. The strings are fixed at points \(1\) and \(2\), as shown below. Consider both the strings, points \(1\), \(2\), and the red dot are all on the same plane throughout the operations. If one of the strings is fully stretched (taut) at all times, what will be the shape of the path traced by the dot?
Which option will replace the question mark?
A grid PQRS is distorted such that its edges get stretched or compressed \textbf{UNIFORMLY to form \(P'Q'R'S'\) as shown on the left. Identify the correct distorted grid from the options.}
Sets of toys and furniture are shown below. Which Correctly matches the furniture and toys, based on similar product features?
Six different shapes are cut from a square as shown on the left. Which option(s) is/are made using only the cut pieces? Pieces can be rotated and not all pieces need to be used.
Three views of a stack of sugar cubes are shown below. What is the \textbf{MINIMUM number of cubes that are required to produce this stack?}
A hard rubber roller is cut with a V-shaped profile at three locations as shown in the Top View in the image on the left. The roller is then dipped in blue colour and rolled over a white plane. Which option shows the correct impression on the plane?
P and Q are printed patterns where the white portion of both the patterns is transparent. If Q is overlapped on P, what will be the resultant image?
Four words written in a particular font are given below. Which of the options belong to the same font?
Coloured strips are printed on a transparent sheet as shown below. The bottom half of this sheet is folded backwards along the PQ axis to form a semi-circle. Which of the option(s) will be a part of the resultant semi-circle?
A table made out of cardboard is shown on the left. If dotted lines indicate folding, which of the option(s) is/are the unfolded view(s) of the table?
A plant pruner (cutter) with two studs P and Q are shown on the left in open and closed positions. Which option(s) will allow the pruner to return to its open position?
A solid object with a triangular groove is shown on the left. Which option(s) along with this object can form the combination shown on the right?
An animation of four planets orbiting around the sun is shown below. Based on this animation, which of the following statement(s) is/are \textbf{TRUE? \quad [This question contains an animated GIF image.]}
Two views of a 3D object are shown on the left. Which of the option(s) is/are the \textbf{same object?}
A board game and two views of a unique dice are shown below. This unique dice has only three faces with numbers one, two, and three. Consider all the ladders as advantages that allow the player to jump from initial to final point. What is the minimum number of dice throws that is required to move from Point A to Point B using all given advantages on the board?
A coloured sheet is folded into an octahedron as shown on the left. Which of the options show(s) the \textbf{CORRECT rotated views of the octahedron?}
Which option(s) is/are \textbf{NOT a part of the image on the left?}
Four objects that are symmetrical along vertical planes are placed in four containers in the orientation shown below. Molten wax is poured in each of these containers up to the level indicated on the objects. Assuming that wax does not stick to the objects, which of the objects will leave its \textbf{exact negative impression on the set wax when they are vertically lifted?}
Shown below is an ice-cream cone completely filled with ice-cream. Assume the top portion (visible portion of ice-cream) is a perfect hemisphere. What is the total mass of the ice-cream in grams? The density of ice-cream is \(0.9\) grams/cubic centimeter. Consider the value of \( \pi = 3.14 \).
A square paper of side \(10\) cm is folded sequentially and a circular cut of radius \(1\) cm is made at the corners as shown below. After unfolding the sheet completely, what will be the total area of all the pieces which have been cut-out from the original square sheet? Assume the value of \( \pi = 3.14 \).