List of top Questions asked in GATE AG- 2025

A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled thrice. What is the probability of rolling ‘6’ exactly once?

Ravi had _________ younger brother who taught at _________ university. He was widely regarded as _________ honorable man. 
Select the option with the correct sequence of articles to fill in the blanks.

The CEO’s decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains.
Select the most appropriate option that can replace the word “myopic” without changing the meaning of the sentence.
The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?

Consider the relationships among P, Q, R, S, and T: 
• P is the brother of Q. 
• S is the daughter of Q. 
• T is the sister of S. 
• R is the mother of Q. 
The following statements are made based on the relationships given above.
(1) R is the grandmother of S. 
(2) P is the uncle of S and T. 
(3) R has only one son. 
(4) Q has only one daughter. 
Which one of the following options is correct?

According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.


 

“I put the brown paper in my pocket along with the chalks, and possibly other things. I suppose every one must have reflected how primeval and how poetical are the things that one carries in one’s pocket: the pocket-knife, for instance the type of all human tools, the infant of the sword. Once I planned to write a book of poems entirely about the things in my pocket. But I found it would be too long: and the age of the great epics is past.” (From G.K. Chesterton’s “A Piece of Chalk”) 
Based only on the information provided in the above passage, which one of the following statements is true?
 

In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and the line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT? 
Note: The figure shown is representative


 

A square paper, shown in figure (I), is folded along the dotted lines as shown in figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
A mouldboard plough is operated by a 2WD tractor with 6.0 kN pull. The ratio of lateral component to the longitudinal component of soil forces is 0.30, and the ratio of the vertical component to the longitudinal component of soil forces is 0.50. If the diameter of the driving wheels is 1.2 m and the rear axle rotates at 10 rpm, the drawbar power produced at 20% wheel slip is _________ kW. (Rounded off to 2 decimal places)

An engine’s torque-speed characteristics is given below:
\[ T_{maxP} = 125 \, \text{N.m}, \, N_{maxP} = 2400 \, \text{rpm}, \, N_{HI} = 2600 \, \text{rpm}, \, T_{max} = 160 \, \text{N.m}, \, N_{maxT} = 1450 \, \text{rpm} \] Where:

The Governor’s regulation is _________% (Rounded off to 2 decimal places).

A four-stroke diesel engine has a displacement volume of 6.0 L and it operates at 2300 rpm with 75% mechanical efficiency. The indicated mean effective pressure is 800 kPa. If the engine has brake-specific fuel consumption of 320 g.h\(^{-1}\).kW\(^{-1}\), considering calorific value of the fuel as 44.6 MJ.kg\(^{-1}\), the fuel equivalent power is _________ kW. (Rounded off to 2 decimal places)
In an inoculated pack study, 0.5 kg peas per can are thermally processed at 121 °C. One group of cans contains Clostridium spp. spores with an initial spore level of \( 5 \times 10^{10} \) per can. Another group of cans contains Bacillus spp. spores. It is desired to have spoilage probability of 5 in 100 cans after thermal processing. The decimal reduction time of Clostridium spp. and Bacillus spp. at 121 °C are 2.5 minutes and 6.0 minutes, respectively. If all the cans receive the same lethality, the initial number of spores of Bacillus spp. per g of peas is __________ (Answer in integer)
Apple juice (viscosity = 1.6 cP) is being filtered through a 2 m\(^2\) filter under a constant pressure. The juice has solid concentration of 0.04 g.mL\(^{-1}\) in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are \(1.85 \times 10^{11}\) m.kg\(^{-1}\) and \(3.50 \times 10^{11}\) m\(^{-1}\), respectively. The time required to filter 800 litres of juice is ________ hour. (Answer in integer)
A cylindrical concrete silo of 6 m internal diameter and 24 m height is filled with rough rice having a bulk density of 635 kg/m\(^3\). The angle of friction between the concrete wall and rough rice is 30°. The ratio between lateral and vertical pressure is 0.4. The ratio of lateral pressure at 10 m depth to the 5 m depth is _________. (Rounded off to 2 decimal places)
The height of the CG of a 4WD tractor with equal tread (1.25 m) in front and rear is 0.85 m. The tractor overturns during turning at a speed of 18 km.h\(^{-1}\). Neglecting the frictional forces on the tractor wheels, the turning radius is _________ m. (Rounded off to 2 decimal places)
A horizontal axis wind turbine with 24 m diameter blades, running with an average wind velocity of 6.0 m.s\(^{-1}\), is used for pumping irrigation water. The average air density is 1.23 kg.m\(^{-3}\). Considering coefficient of power as 0.3, transmission efficiency as 90%, pump efficiency as 60%, acceleration due to gravity as 9.81 m.s\(^{-2}\) and density of water as 1000 kg.m\(^{-3}\), the discharge of the pump for a total head of 20 m is _________ L.s\(^{-1}\). (Rounded off to 2 decimal places)
For a right-hand offset disc harrow, the longitudinal distance from the hitch point to the centers of the front and rear gangs are 2.5 m and 4.5 m, respectively. The resultant horizontal soil forces in longitudinal direction on the front and rear gangs are 3.0 kN and 3.5 kN, respectively; while the resultant horizontal soil forces in lateral directions are 2.5 kN and 4.0 kN, respectively. Considering the resultant soil forces acting at the centers of front and rear gangs, the amount of offset of the center of cut with respect to the hitch point is _________ m. (Rounded off to 2 decimal places)
Locust beans having an average particle diameter of 7 mm are ground at a rate of 10 ton/h to produce an average particle diameter of 0.62 mm. The mill consumes 6.7 kW power at the given rate. For the same rate of grinding, using Rittinger’s law, the power required to grind the beans to an average particle diameter of 0.25 mm is _________kW. (Rounded off to 2 decimal places)
A mixture of Nitrogen (N\(_2\)) and Helium (He) gases is contained in a pipe at 1.0 atm pressure and at 298 K. At one point in the pipe, the partial pressure of N\(_2\) is 60.80 kPa and at a point 0.22 m apart, the partial pressure of N\(_2\) is 20.31 kPa. The diffusion coefficient of the mixture is \(0.612 \times 10^{-4}\) m\(^2\).s\(^{-1}\). Considering Universal gas constant as 8314 m\(^3\).Pa.kg mol\(^{-1}\).K\(^{-1}\), the steady-state flux of N\(_2\) is \(n \times 10^{-6}\) kg mol.s\(^{-1}\).m\(^{-2}\). The value of \(n\) is _________ (Rounded off to 2 decimal places)
Milk enters at 25°C through the inner pipe of a concentric double pipe heat exchanger. Hot water enters at 82.5°C and flows countercurrently (flow rate = 1.2 kg/s) through the annular region. The diameter of the inner pipe, length of the pipe, and average overall heat transfer coefficient are 60 mm, 6 m, and 2100 W.m\(^{-2}\).K\(^{-1}\), respectively. The average values of specific heat capacity of water and milk are 4.18 kJ.kg\(^{-1}\).K\(^{-1}\) and 3.95 kJ.kg\(^{-1}\).K\(^{-1}\), respectively. The effectiveness of the heat exchanger is 0.572 and the NTU is 1.01. Assuming the steady-state condition and considering \( \pi \) as 3.14, the temperature of hot water at the exit of the pipe is _________ °C. (Rounded off to 1 decimal place)
To protect a wheat field from wind erosion, windbreaks of 2.7 m height are provided. The actual wind velocity at 15 m height perpendicular to the wind barrier is 9 m.s\(^{-1}\) and the minimum wind velocity at 15 m height required to move the most erodible soil fraction is 9.6 m.s\(^{-1}\). The distance of full protection from this windbreak is _________ m. (Rounded off to 2 decimal places)
A stable drop structure is designed with a base length of 5.7 m. The sum of vertical forces excluding uplift is 92.5 kN, sum of uplift forces is 72.5 kN, and sum of moments of all the horizontal and vertical forces about an axis passing through mid-section of base length is 60 kN.m. The eccentricity denoting the longitudinal distance between the centroid of base area and the point of application of resultant vertical load is _________ m. (Rounded off to 2 decimal places)
An 8 ha watershed receives rainfall intensities of 2.5, 3.6, 5.4, 3.3, 2.6 and 1.2 cm.h\(^{-1}\) at the successive intervals of 30 minutes. The corresponding surface runoff volume is estimated to be 4800 m\(^3\). Neglecting initial abstraction losses, the W-index for this watershed is _________ cm.h\(^{-1}\) (Rounded off to 2 decimal places).