1
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+2
-0.67

The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the following statements is correct:

$$ \begin{array}{|l|c|c|c|c|} \hline \text { Rain gauge station } & \text { P } & \text { Q } & \text { R } & \text { S } \\ \hline \text { Whether located inside the catchment } & \text { Yes } & \text { Yes } & \text { Yes } & \text { No } \\ \hline \text { Thiessen weightage factor } & 0.25 & 0.50 & 0.10 & 0.15 \\ \hline \text { Rainfall (mm) } & 100 & 110 & 100 & 125 \\ \hline \end{array} $$
A
The estimate obtained from the Thiessen-mean method is greater than that obtained using the arithmetic-mean method
B
The estimate obtained from the Thiessen-mean method is equal to that obtained using the arithmetic-mean method
C
The estimate obtained from the Thiessen-mean method is less than that obtained using the arithmetic-mean method
D
The Thiessen-mean method cannot be applied in this case
2
GATE CE 2024 Set 2
Numerical
+2
-0

A storm with a recorded precipitation of 11.0 cm, as shown in the table, produced a direct run-off of 6.0 cm.

Time from start (hours) 1 2 3 4 5 6 7 8
Recorded cumulative precipitation (cm) 0.5 1.5 3.1 5.5 7.3 8.9 10.2 11.0

The Ø-index of this storm is ______________ cm/hr (rounded off to 2 decimal places).

Your input ____
3
GATE CE 2024 Set 1
Numerical
+2
-0

The ordinates of a 1-hour unit hydrograph (UH) are given below.

Time (hours) 0 1 2 3 4 5
Ordinates of 1-hour UH (m3/s) 0 13 50 80 95 85
Time (hours) 6 7 8 9 10 11
Ordinates of 1-hour UH (m3/s) 55 35 15 10 3 0

These ordinates are used to derive a 3-hour UH. The peak discharge (in m3/s) for the derived 3-hour UH is ___________ (rounded off to the nearest integer).

Your input ____
4
GATE CE 2023 Set 2
Numerical
+2
-0

A catchment may be idealized as a circle of radius 30 km. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced), as shown in the figure (not to scale).

The annual rainfall recorded at these gauges in a particular year are given below.

$$ \begin{array}{|l|l|l|l|l|l|} \hline \text { Gauge } & \mathrm{G}_1 & \mathrm{G}_2 & \mathrm{G}_3 & \mathrm{G}_4 & \mathrm{G}_5 \\ \hline \text { Rainfall }(\mathrm{mm}) & 910 & 930 & 925 & 895 & 905 \\ \hline \end{array} $$


Using the Thiessen polygon method, what is the average rainfall (in mm, rounded off to two decimal places) over the catchment in that year? ________

GATE CE 2023 Set 2 Hydrology - Precipitation and Frequency of Rainfall Data Question 2 English
Your input ____
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