List of top Questions asked in GATE CE

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be \(89.85^\circ\), the ratio of the Earth-Sun and Earth-Moon distances is closest to:
If ‘→' denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ________→ chide]. Which one of the given options is appropriate to fill the blank?
Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...
The real variables x, y, z, and the real constants p, q, r satisfy.
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks.
Prof. P \(\underline{(i)}\) merely a man who narrated funny stories. moments he was capable of self-deprecating humor. \(\underline{(ii)}\) in his blackest 
Prof. Q \(\)\(\underline{(i)}\) a man who hardly narrated funny stories. \(\underline{(iv)}\) in his blackest moments was he able to find humor.
The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?
The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022.
A planar rectangular paper has two V-shaped pieces attached as shown below.
A planar rectangular paper has two V-shaped pieces attached as shown below.
This piece of paper is folded to make the following closed three-dimensional object.
This piece of paper is folded to make the following closed three-dimensional object.
The number of folds required to form the above object is
How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?
A water treatment plant treats 25 MLD water with a natural alkalinity of 4.0 mg/L (as CaCO$_3$). It is estimated that, during coagulation of this water, 450 kg/day of calcium bicarbonate (Ca(HCO$_3$)$_2$) is required based on the alum dosage. Consider the atomic weights as: Ca=40, H=1, C=12, O=16. The quantity of pure quick lime, CaO (in kg) required for this process per day is ______ (rounded off to 2 decimal places).
Which one of the given options is a possible value of \( x \) in the following sequence? \[ 3, 7, 15, x, 63, 127, 255 \]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
Consider the statements P and P: Client’s Preliminary Estimate is used for budgeting costs toward the end of planning and design phase. Q: Client’s Detailed Estimate is used for controlling costs during the execution of the project. Which one of the following options is CORRECT?
The number of trains and their corresponding speeds for a curved Broad Gauge section with 437 m radius, are 20 trains travel at a speed of 40 km/hr 15 trains travel at a speed of 50 km/hr 12 trains travel at a speed of 60 km/hr 8 trains travel at a speed of 70 km/hr 3 trains travel at a speed of 80 km/hr If the gauge (center-to-center distance between the rail heads) is taken as 1750 mm, the required equilibrium cant (in mm) will be ______ (rounded off to the nearest integer).
The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents unique identification of each vehicle. \includegraphics[width=0.5\linewidth]{78image.png} The mean speed (in km/hr) of the vehicles in the entire time-space domain is __ (rounded off to the nearest integer).
The following data is obtained from an axle load survey at a site: Average rear axle load = 12000 kg Number of commercial vehicles = 800 per day The pavement at this site would be reconstructed over a period of 5 years from the date of survey. The design life of the reconstructed pavement is 15 years. Use the standard axle load as 8160 kg and the annual average vehicle growth rate as 4.0\%. Assume that Equivalent Wheel Load Factor (EWLF) and Vehicle Damage Factor (VDF) are equal. The cumulative standard axle (in msa) for the pavement design is \_\_\_\_ (rounded off to 2 decimal places).
A bird is resting on a point P at a height of 8 m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point Q which is located at a height of 3 m above MSL. The ground surface has a falling gradient of 1 in 2. Ignoring the effects of curvature and refraction, the horizontal distance (in meters) between points P and Q is \_\_\_\_\_ (in integer).
A slab panel with an effective depth of 250 mm is reinforced with 0.2\% main reinforcement using 8 mm diameter steel bars. The uniform center-to-center spacing (in mm) at which the 8 mm diameter bars are placed in the slab panel is \_\_\_\_\_ (rounded off to the nearest integer).
The total primary consolidation settlement (\(S_c\)) of a building constructed on a 10 m thick saturated clay layer is estimated to be 50 mm. After 300 days of the construction of the building, primary consolidation settlement was reported as 10 mm. The additional time (in days) required to achieve 50\% of \(S_c\) will be \_\_\_\_\_\_ (rounded off to the nearest integer).
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is \(30^\circ\) with respect to horizontal ground surface. The unit weights of the saturated soil and water are \(20 \text{ kN/m}^3\) and \(10 \text{ kN/m}^3\), respectively. The minimum angle of shearing resistance of the soil (in degrees) for the critically stable condition of the slope is ______ (rounded off to the nearest integer).
A soil sample was consolidated at a cell pressure of 20 kPa and a back pressure of 10 kPa for 24 hours during a consolidated undrained (CU) triaxial test. The cell pressure was increased to 30 kPa on the next day and it resulted in the development of pore water pressure of 1 kPa. The soil sample failed when the axial stress was gradually increased to 50 kPa. The pore water pressure at failure was recorded as 21 kPa. The value of Skempton’s pore pressure parameter \( B \) for the soil sample is ______ (rounded off to 2 decimal places).
The ordinates of a 1-hour unit hydrograph (UH) are given below: \includegraphics[width=0.5\linewidth]{66image.png} These ordinates are used to derive a 3-hour UH. The peak discharge (in m$^3$/s) for the derived 3-hour UH is ______ (rounded off to the nearest integer).
A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy's coefficient as 150 m$^{1/2}$/s. \includegraphics[width=0.5\linewidth]{89image.png} The normal depth of flow, \( y \) (in meters), for carrying a discharge of 20 m$^3$/s is __ (rounded off to 2 decimal places).
A spillway has unit discharge of \(7.5 \text{ m}^3/\text{s/m}\). The flow depth at the downstream horizontal apron is \(0.5 \text{ m}\). The tail water depth (in meters) required to form a hydraulic jump is ______ (rounded {off to 2 decimal places).}