Civil Engineering
GATE CE purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 351–360 of 1300. Imported answers require independent review unless marked reviewed.
Question 46
Open questionce-1MSQ2 marksNeeds review
Which of the following statement(s) is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
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Open questionCE2MSQ2 marksNeeds review
In the context of pavement material characterization, the CORRECT statement(s) is/are
Your answerSelect all correct options. You can choose more than one.
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Open questionce-1NAT2 marksNeeds review
The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson’s distribution, the probability that it will be exceeded at least once in 50 years is __________ % (rounded off to the nearest integer).
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Open questionCE2NAT2 marksNeeds review
The expression for computing the effective interest rate (
) using continuous compounding for a nominal interest rate of 5% is
The effective interest rate (in percentage) is __________ (rounded off to 2 decimal places).
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Open questionce-1NAT2 marksNeeds review
A
tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At
, an inflow of a salt solution of concentration 5 g/m
at the rate of 2 litres/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modeled using the following differential equation:
where m is the mass (grams) of the salt at time t (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is __________ (rounded off to 2 decimal places).Log in to check the answer
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Open questionCE2NAT2 marksNeeds review
Consider two matrices
and
.The determinant of the matrix
is __________ (in integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionce-1NAT2 marksNeeds review
The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linear 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 magnitude of the reaction (in kN) at the pin support L is __________ (rounded off to 1 decimal place).
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For the 6 m long horizontal cantilever beam PQR shown in the figure, Q is the mid-point. Segment PQ of the beam has flexural rigidity
whereas the segment QR has infinite flexural rigidity. Segment QR is subjected to uniformly distributed, vertically downward load of 5 kN/m.
(Figure NOT to scale)
The magnitude of the vertical displacement (in mm) at point Q is __________ (rounded off to 3 decimal places).
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Open questionce-1NAT2 marksNeeds review
An inverted T-shaped concrete beam (B1) in the figure, with centroidal axis X – X, is subjected to an effective prestressing force of 1000 kN acting at the bottom kern point of the beam cross-section. Also consider an identical concrete beam (B2) with the same grade of concrete but without any prestressing force.

The additional cracking moment (in kN.m) that can be carried by beam B1 in comparison to beam B2 is __________ (rounded off to the nearest integer).
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Open questionCE2NAT2 marksNeeds review
The horizontal beam PQRS shown in the figure has a fixed support at point P, an internal hinge at point Q, and a pin support at point R. A concentrated vertically downward load (V) of 10 kN can act at any point over the entire length of the beam.

The maximum magnitude of the moment reaction (in kN.m) that can act at the support P due to V is ________ (in integer).
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