Section 4: Soil and Water Conservation Engineering
Hydrology
Subtopic: Hydrological cycle and measurement of its components
Question Statement:
The normal annual rainfall at stations I, II, III and IV in a basin are 155, 150, 120 and 105 cm respectively. In the year 2000, stations I, II and III received annual rainfalls of 156, 140 and 104 cm respectively. Estimated value of rainfall at station IV during the year 2000 is
Options:
(A) 98.2 cm
(B) 105.0 cm
(C) 133.3 cm
(D) 141.7 cm
Official Answer Key:
A
Step-by-Step Solution & Explanation
Normal Ratio Method: P_IV = (N_IV/3)[P_I/N_I + P_II/N_II + P_III/N_III] = (105/3)[156/155 + 140/150 + 104/120] = 35×[1.00645+0.93333+0.86667] = 35×2.8065 = ≈98.2 cm.
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