1
GATE CE 2023 Set 2
Numerical
+1
-0
If the size of the ground area is 6 km Γ— 3 km and the corresponding photo size in the aerial photograph is 30 cm Γ— 15 cm, then the scale of the photograph is 1 : ________ (in integer).
Your input ____
2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

A delivery agent is at a location R. To deliver the order, she is instructed to travel to location P along straight-line paths of RC, CA, AB and BP of 5 km each. The direction of each path is given in the table below as whole circle bearings. Assume that the latitude (L) and departure (D) of R is (0, 0) km. What is the latitude and departure of P (in km, rounded off to one decimal place)? 

$$ \begin{array}{|c|c|c|c|c|} \hline \text { Paths } & \text { RC } & \text { CA } & \text { AB } & \text { BP } \\ \hline \begin{array}{c} \text { Directions } \\ \text { (in degrees) } \end{array} & 120 & 0 & 90 & 240 \\ \hline \end{array} $$
A
L = 2.5; D = 5.0
B
L = 0.0; D = 5.0
C
L = 5.0; D = 2.5 
D
L = 0.0; D = 0.0
3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with 50% efficiency. The recorded SPT value at a particular depth is 28. If an automatic hammer dropping system with 70% efficiency is used at the same location, the recorded SPT value will be _________.
A
28
B
20
C
40
D
25
4
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, π‘˜π» and coefficient of vertical permeability, π‘˜π‘‰. In order to draw the flow net for the isotropic condition, the embedment depth of the wall should be scaled by a factor of ______, without changing the horizontal scale.
A
$\rm \sqrt{\frac{k_H}{k_V}}$
B
$\rm \sqrt{\frac{k_V}{k_H}}$
C
1.0
D
$\rm {\frac{k_H}{k_V}}$
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