List of top Questions asked in GATE CE- 2024

For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air pollutants. The emission standard (based on 11% Oxygen) for HCl is 50 mg/Nm3 and the measured concentrations of HCl and Oxygen in flue gas are 42 mg/Nm3 and 13%, respectively.
Assuming 21% Oxygen in air, the CORRECT statement is:
A surveyor observes a zenith angle of 93° 00' 00" during a theodolite survey. The corresponding vertical angle is
The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint I. In the figure, A to I indicate joints of the frame.
If the axial deformations are neglected, the degree of kinematic indeterminacy is ____ . (in integer).
A map is prepared with a scale of 1:1000 and a contour interval of 1 m. If the distance between two adjacent contours on the map is 10 mm, the slope of the ground between the adjacent contours is
The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidity. A to M indicate the joints of the truss. The truss has pin supports at joints A and L and roller support at joint K. The truss is subjected to a 10 kN vertically downward force at joint H and a 10 kN horizontal force in the rightward direction at joint B as shown.
The plane truss shown in the figure has 13 joints and 22 members
The magnitude of the reaction (in kN) at the pin support Lis (rounded off to 1 decimal place).
Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?
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 homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure. The polar moments of inertia of the portions PQ and QR of the shaft with circular cross-sections are \(J_1\) and \(J_2\), respectively. The torsional moment reactions at the supports P and R are \(T_p\) and \(T_R\), respectively.
homogeneous shaft
If \(\frac {T_p}{T_R} = 4\) and \(\frac {J_1}{J_2} = 2\), the ratio of the lengths \(\frac {L_1}{L_2}\) is
A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of 30°. The inclinations of failure planes with respect to the major principal plane for Rankine's active and passive earth pressure conditions, respectively, are
If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by
The elements that DO NOT increase the strength of structural steel are
A spillway has unit discharge of 7.5 m3/s/m. The flow depth at the downstream horizontal apron is 0.5 m. The tail water depth (in meters) required to form a hydraulic jump is_____ (rounded off to 2 decimal places).
Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section becomes under-reinforced?
Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum number of specimens having at least 30 MPa strength should be
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.
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?
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
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 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
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}
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? \[ 3, 7, 15, x, 63, 127, 255 \]