The following statements (P, Q) are derived on the basis of precipitation values from the mass curve of rainfall of a self- recording rain gauge, given in the table. Identify the correct statement(s) and select the most appropriate option.

Time from start of rainfall (minutes) 0 15 30 45 60 75 90
Cumulative rainfall (mm 0 6 15 15 30 35 45


P. The intensity of rainfall during the time interval (0 to 15) is more than the intensity of rainfall during the time interval (60 to 75).

Q. There is no rainfall during the time interval (30 to 45). 

This question was previously asked in
SSC JE (Civil) 2023 Official Paper-II (Held On: 04 Dec, 2023 Shift 1)
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  1. P only
  2. Both P and Q
  3. Q only
  4. Neither P nor Q

Answer (Detailed Solution Below)

Option 2 : Both P and Q
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Detailed Solution

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Explanation:

Time interval (min)

Cumulative rainfall (mm)

Rainfall (mm)

Rainfall intensity (mm/min)

0-15

6

6

\( \frac{6 }{15}\) = 0.4

15-30

15

(15-6) = 9

\( \frac{9}{15}\) = 0.6

30-45

15

(15-15) = 0

\( \frac{0}{15}\) = 0

45-60

30

(30-15) = 15

\( \frac{15}{15}\) = 1.0

60-75

35

(35-30) = 5

\( \frac{5}{15}\) = 0.33

75-90

45

(45-35) = 10

\( \frac{10}{15}\) = 0.67

From the above table, it has been observed that

the intensity of rainfall during the time interval (0 to 15 min) is 0.4 mm/min, which is greater than the rainfall intensity during the time interval (60 to 75 min) is 0.33 mm/hr. The rainfall during the time interval (30-45 min) is 0. So, both statements are correct.

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