Rainfall and LPA Deviations

CAT 2019 Slot 2 · DILR · Medium · Data Interpretation

All CAT 2019 Slot 2 questionsMore Data Interpretation questionsAll CAT DILR

Passage / data set

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure.

  • States and actual rainfalls (mm):
    • Rajasthan: 300 (Deviation: +15%)
    • Gujarat: 600 (Deviation: +25%)
    • Karnataka: 600 (Deviation: +20%)
    • MP: 600 (Deviation: +10%)
    • Maharashtra: 1000 (Deviation: +30%)
    • Sikkim: 1350 (Deviation: +25%)
    • Mizoram: 1100 (Deviation: +5%)
    • Goa: 2700 (Deviation: +10%)
    • Assam: 600 (Deviation: -10%)
    • Arunachal: 1000 (Deviation: -15%)
    • Kerala: 1500 (Deviation: -15%)
    • Meghalaya: 1750 (Deviation: -15%)
    • WB: 600 (Deviation: -30%)
    • Jharkhand: 400 (Deviation: -35%)
    • Delhi: 300 (Deviation: -40%)
    • Manipur: 400 (Deviation: -60%)

Question 1 of 4

If a 'Heavy Monsoon State' is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of 'Heavy Monsoon States' have a negative deviation from respective LPAs in 2019?

  1. A.

    75.00

  2. B.

    57.14

  3. C.

    42.86

  4. D.

    14.29

Answer

C

Explanation

States with actual rainfall ≥900\ge 900 mm are Maharashtra (1000), Mizoram (1100), Sikkim (1350), Goa (2700), Arunachal (1000), Kerala (1500), Meghalaya (1750) — total 7 states. Out of these 7, Arunachal, Kerala, and Meghalaya (3 states) have a negative deviation. Percentage =37×100≈42.86%= \frac{3}{7} \times 100 \approx 42.86\%.

Question 2 of 4

If a 'Low Monsoon State' is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median 'deviation from LPA' (as defined in the Y-axis of the figure) of 'Low Monsoon States'?

  1. A.

    -30%

  2. B.

    10%

  3. C.

    -20%

  4. D.

    -10%

Answer

D

Explanation

States with actual rainfall ≤750\le 750 mm are: Rajasthan (+15%), Karnataka (+20%), MP (+10%), Gujarat (+25%), Assam (-10%), WB (-30%), Jharkhand (-35%), Delhi (-40%), Manipur (-60%) — total 9 states. Arranging their deviations in ascending order: -60%, -40%, -35%, -30%, -10%, +10%, +15%, +20%, +25%. The median (5th value) is -10%.

Question 3 of 4

What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

  1. A.

    450 mm

  2. B.

    367 mm

  3. C.

    460 mm

  4. D.

    500 mm

Answer

C

Explanation

States with rainfall ≤600\le 600 mm and negative deviation: Assam (600), WB (600), Jharkhand (400), Delhi (300), Manipur (400). Average rainfall =600+600+400+300+4005=23005=460= \frac{600 + 600 + 400 + 300 + 400}{5} = \frac{2300}{5} = 460 mm.

Question 4 of 4

The LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to

  1. A.

    475 mm

  2. B.

    490 mm

  3. C.

    505 mm

  4. D.

    525 mm

Answer

B

Explanation

Actual rainfall in Gujarat in 2019 = 600 mm. Percentage deviation in 2018 = 25%, so LPA2018=6001.25=480LPA_{2018} = \frac{600}{1.25} = 480 mm. Since LPA2018=Sum(2009−2018)10=480  ⟹  Sum(2009−2018)=4800LPA_{2018} = \frac{\text{Sum}(2009-2018)}{10} = 480 \implies \text{Sum}(2009-2018) = 4800. Rainfall in 2009 = 6001.2=500\frac{600}{1.2} = 500 mm. Sum(2010-2019) = 4800−500+600=49004800 - 500 + 600 = 4900. LPA2019=490010=490LPA_{2019} = \frac{4900}{10} = 490 mm.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace