List of practice Questions

Image P shows a portion of a larger photograph. Some operations have been done on that photograph using an image manipulation software. Image Q shows a portion of the resulting photograph. Identify the option(s) that specifies/specify the correct operations. 

A designer has designed a logo. The form is shown on the left and its accompanying text is shown on the right. Which of the following statements about this logo is/are TRUE? 

In terms of calories, 20 jamuns and 3 bananas combined are equivalent to one mango and one papaya combined, and 2 mangoes and 5 bananas combined are equivalent to 4 papayas and 80 jamuns combined. Then 8 papayas and 2 mangoes are equivalent to how many bananas?

The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it...What is the total number of edges in the lens after the holes were drilled? 

 

A solid is shown in the figure below. The vertices ABCDEFGH form a 4 cm x 2 cm x 2 cm cuboid. The segments AI and DI are both of length 5 cm, and points I, C, G, F, B are coplanar. What is the height (in cm) of point I from the base rectangle EFGH? 

 

Two water tanks A and B of equal square base of sides 3 feet are shown below. Water flows from tank A to tank B through a tube. What will be the volume (in cubic feet) of water in Tank A when the water stops flowing? 

 

Two perspective views of the same solid object are shown below. How many surfaces does the object contain? Assume hidden surfaces to be flat. 

 

How many glasses will remain empty if you half-fill some of the empty glasses, from the given set of filled glasses? 

 

An intersection is a point where two or more lines/curves meet or cross. How many intersections are there in the figure given below? 

All the four-digit numbers except one is written using a single font. Identify the number that does not use the same font as the other numbers.

Find the number which will replace the question mark. 

Imagine a possibility of an emergency evacuation scenario in a domestic household in India. The height at which the inside latch of the exit-door should be installed is to be finalised. It is required to disallow opening of the door accidentally by children. Which option will determine the height at which the latch should be fixed? Assume the height of the tallest child is lower than that of the shortest adult.
Mobility and Vehicle Design: There are many local innovative transportation solutions that mostly operate in rural India... Design a context sensitive, safe, workable and pleasing 4-wheeler vehicle for hilly regions...
Sketching (20 marks): Draw a perspective view of a kitchen interior with a stove, kitchen utensils (such as pressure cooker, cooking pans, sauce pans etc.), dining utensils (such as ceramic plates, cups, glasses etc.), a wash basin, storage racks with stored cooking ingredients (such as spices in small plastic bottles), fresh cut vegetables kept beside the stove and at least two kitchen gadgets. Make a freehand perspective drawing of this setup, showing all the elements listed above, as seen from the point of view of a 5 ½ feet tall person.
Fill in the blanks to keep the sentence grammatically correct as well as meaningful.
........... the facts, she proceeded with her decision, finally ending up with a ........... situation.
In a camera, the opening through which light enters the camera is called aperture. The distance between the closest and the farthest part of a view captured on a photograph, which is in focus, is called depth of field. Given that all other settings remain the same, which of the following is TRUE?
Monitors with different resolutions can be attached to a computer. The computer can also render a video at various resolutions. Assuming that the videos are played at 1:1 resolution, which of the following options is/are TRUE?
A glass cube with 27 equal compartments is filled with water. There are a few red balls floating inside the compartments. Three views of the cube are shown below. Identify the red ball(s) that is/are represented incorrectly in the top view.
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How much distance (in cm) will the bicycle shown below travel, if the pedal makes 1.5 revolutions? (Assume \(\pi = 22/7\)).
\includegraphics[width=0.7\textwidth]{4.jpeg}
A die is thrown twice. If getting a number greater than four on the die is considered a success, then the variance of the probability distribution of the number of successes is
Net cell reaction of $Pt \left| H _{2}(640\, mm )\right| HCl \left| H _{2}(510\, mm )\right| Pt$.
For H.L.A. Hart, the 'open texture of law' means that the regulation of areas of conduct must be left to be developed by:
In a list \( A = p, 24, 24, 24, 28, 20, 16 \), is “p” positive?
(1) The mean of list A is lesser than the mode of list A.
(2) The range of list A is lesser than the mode of list A.
Consider seven integers; whose range is 80 and median is 240. The median for the three smallest integers is 180. What is the possible range for the largest three integers?
I. 75
II. 24
III. 0
If “p” is completely divided by the number 17, and \( p = x^2 \cdot y \), where x and y are distinct prime numbers, which of these numbers must be divisible by 289?