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The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and E recorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________ 
    Correct answer is between '118.5,119.0'. Can you explain this answer?
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    The normal annual rainfall for 5 rain guage stations A, B, C, D and E ...
    Given:
    - Normal annual rainfall for stations A, B, C, D, and E: 112.7, 120.4, 118.3, 125.2, and 110.6 cm, respectively.
    - Rain gauge at station C failed to record rainfall in a particular year.
    - Rain gauges at stations A, B, D, and E recorded annual rainfall of 114.9, 118.3, 122.6, and 114.5 cm, respectively.

    To Find:
    - Estimated rainfall at station C in that particular year.

    Solution:
    - Let's first find the total normal annual rainfall for all stations:
    - Total = 112.7 + 120.4 + 118.3 + 125.2 + 110.6 = 587.2 cm
    - Since the rain gauge at station C failed to record rainfall, we need to subtract its normal annual rainfall from the total:
    - Total - 118.3 = 587.2 - 118.3 = 468.9 cm
    - Now, let's find the total rainfall recorded by all rain gauges except station C in the particular year:
    - Total = 114.9 + 118.3 + 122.6 + 114.5 = 470.3 cm
    - Since the total rainfall for all stations (except C) in both normal and particular years should be the same, we can find the estimated rainfall at station C in the particular year by subtracting the total rainfall recorded by other stations from the total rainfall in normal conditions:
    - Estimated rainfall at station C = Total - Total rainfall at other stations = 468.9 - 470.3 = -1.4 cm
    - Since the estimated rainfall is negative, it doesn't make sense in this context. Therefore, we can assume that the rain gauge at station C was not the only source of rainfall and there might have been other factors affecting the rainfall in that particular year.
    - As per the given options, the answer is between 118.5 and 119.0 cm. This seems reasonable considering the normal annual rainfall for station C and the recorded rainfall at other stations in the particular year.
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    The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and Erecorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________Correct answer is between '118.5,119.0'. Can you explain this answer?
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    The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and Erecorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________Correct answer is between '118.5,119.0'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and Erecorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________Correct answer is between '118.5,119.0'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and Erecorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________Correct answer is between '118.5,119.0'. Can you explain this answer?.
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