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Rice Production Statistics in Select States

CAT 2005 Slot 1 · Data Interpretation & Logical Reasoning · Easy · DILR

This is an easy Data Interpretation & Logical Reasoning question set from the CAT 2005 Slot 1 paper. It tests DILR. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

The table below reports annual statistics related to rice production in select states of India for a particular year.

StateTotal Area (in million hectares)% of Area Under Rice CultivationProduction (in million tons)Population (in millions)
Himachal Pradesh6201.26
Kerala4604.832
Rajasthan34206.856
Bihar10601283
Karnataka19501953
Haryana48019.221
West Bengal98021.680
Gujarat20602451
Punjab5802424
Madhya Pradesh314024.860
Tamilnadu137027.362
Maharashtra31504897
Uttar Pradesh247067.2166
Andhra Pradesh288011276

Question 1 of 3

Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)?

  1. A.

    Haryana and Punjab

  2. B.

    Punjab and Andhra Pradesh

  3. C.

    Andhra Pradesh and Haryana

  4. D.

    Uttar Pradesh and Haryana

Answer

A

Explanation

Productivity =ProductionTotal Area×% Rice Area= \frac{\text{Production}}{\text{Total Area} \times \% \text{ Rice Area}}.

  • Haryana: 19.24×0.8=19.23.2=6\frac{19.2}{4 \times 0.8} = \frac{19.2}{3.2} = 6 tons/ha.
  • Punjab: 245×0.8=244=6\frac{24}{5 \times 0.8} = \frac{24}{4} = 6 tons/ha.
  • Andhra Pradesh: 11228×0.8=11222.4=5\frac{112}{28 \times 0.8} = \frac{112}{22.4} = 5 tons/ha. Thus, Haryana and Punjab have the highest productivity (6 tons/ha).

Question 2 of 3

How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat?

  1. A.

    3

  2. B.

    4

  3. C.

    5

  4. D.

    6

Answer

B

Explanation

Gujarat per capita production =2451≈0.47= \frac{24}{51} \approx 0.47 tons/person. States exceeding 0.47:

  • Haryana: 19.221≈0.91\frac{19.2}{21} \approx 0.91
  • Punjab: 2424=1.00\frac{24}{24} = 1.00
  • Maharashtra: 4897≈0.495\frac{48}{97} \approx 0.495
  • Andhra Pradesh: 11276≈1.47\frac{112}{76} \approx 1.47 Total states =4= 4 (Haryana, Punjab, Maharashtra, Andhra Pradesh).

Question 3 of 3

An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons (i.e. 0.4 million tons). How many states are intensive rice producing states?

  1. A.

    5

  2. B.

    6

  3. C.

    7

  4. D.

    8

Answer

D

Explanation

We need production/population ≥0.4\ge 0.4 tons/person:

  1. Himachal Pradesh: 1.2/6=0.201.2 / 6 = 0.20 (No)
  2. Haryana: 19.2/21=0.9119.2 / 21 = 0.91 (Yes)
  3. Gujarat: 24/51=0.4724 / 51 = 0.47 (Yes)
  4. Punjab: 24/24=1.0024 / 24 = 1.00 (Yes)
  5. Madhya Pradesh: 24.8/60=0.41324.8 / 60 = 0.413 (Yes)
  6. Tamilnadu: 27.3/62=0.4427.3 / 62 = 0.44 (Yes)
  7. Maharashtra: 48/97=0.49548 / 97 = 0.495 (Yes)
  8. Uttar Pradesh: 67.2/166=0.40567.2 / 166 = 0.405 (Yes)
  9. Andhra Pradesh: 112/76=1.47112 / 76 = 1.47 (Yes) Total states =8= 8.

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