GATE AG 2020 • Q19 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Analysis of precipitation data

Question Statement:

Five stations A, B, C, D, E have average annual rainfall 1020, 810, 675, 940, 780 mm. In a particular year, station A was non-operational; B, C, D, E recorded 890, 725, 980, 850 mm. Estimate the rainfall at A that year (mm).

Options:

  • (A) 758
  • (B) 878
  • (C) 1038
  • (D) 1098

Official Answer Key:

D

Step-by-Step Solution & Explanation

Since none of the normal annual rainfalls of B,C,D,E differ from A's normal by more than 10%, the Normal Ratio Method gives: PA = (NA/n)×Σ(Pi/Ni) = (1020/4)×[(890/810)+(725/675)+(980/940)+(850/780)] = 255×4.3051 ≈ 1098 mm.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test