Comprehension
The table below reports annual statistics related to rice production in select states of India for a particular year.
| State | Total Area (in millions) | % of Area under rice cultivation | Production (in million tons) | Population (in millions) |
|---|---|---|---|---|
| Himachal Pradesh | 6 | 20 | 1.2 | 6 |
| Kerala | 4 | 60 | 4.8 | 32 |
| Rajasthan | 34 | 20 | 6.8 | 56 |
| Bihar | 10 | 60 | 12 | 83 |
| Karnataka | 19 | 50 | 19 | 53 |
| Haryana | 4 | 80 | 19.2 | 21 |
| West Bengal | 9 | 80 | 21.6 | 80 |
| Gujarat | 20 | 60 | 24 | 51 |
| Punjab | 5 | 80 | 24 | 24 |
| Madhya Pradesh | 31 | 40 | 24.8 | 60 |
| Tamilnadu | 13 | 70 | 27.3 | 62 |
| Maharashtra | 31 | 50 | 48 | 97 |
| Uttar Pradesh | 24 | 70 | 67.2 | 166 |
| Andhra Pradesh | 28 | 80 | 112 | 76 |
Question: 1
Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)?
Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)?
Show Hint
Rice area = total area x (% under rice). Productivity = production / rice area (million tons per million hectares = tons per hectare).
Updated On: Nov 4, 2026
- Punjab and Andhra Pradesh
- Haryana and Punjab
- Andhra Pradesh and Haryana
- Uttar Pradesh and Haryana
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Compute the area under rice:
Area under rice \(=\) total area \(\times\) (% under rice)/100: Haryana \(4\times 0.8=3.2\); Punjab \(5\times 0.8=4\); Andhra Pradesh \(28\times 0.8=22.4\); Uttar Pradesh \(24\times 0.7=16.8\); West Bengal 7.2; Tamil Nadu 9.1; Maharashtra 15.5; Karnataka 9.5; MP 12.4; Gujarat 12; Bihar 6; Kerala 2.4; Rajasthan 6.8; Himachal Pradesh 1.2 (all in million hectares).
Step 2: Productivity = production / rice area (tons per hectare):
Haryana \(19.2/3.2=6\); Punjab \(24/4=6\); Andhra Pradesh \(112/22.4=5\); Uttar Pradesh \(67.2/16.8=4\); West Bengal \(21.6/7.2=3\); Tamil Nadu \(27.3/9.1=3\); Maharashtra \(48/15.5\approx 3.1\); Karnataka \(19/9.5=2\); MP \(24.8/12.4=2\); Gujarat \(24/12=2\); Bihar \(12/6=2\); Kerala \(4.8/2.4=2\); Rajasthan \(6.8/6.8=1\); Himachal Pradesh \(1.2/1.2=1\).
Step 3: Pick the top two:
The two highest productivities are 6 and 6, for Haryana and Punjab (next best is Andhra Pradesh at 5).
Final Answer:
The correct option is (2): Haryana and Punjab
Area under rice \(=\) total area \(\times\) (% under rice)/100: Haryana \(4\times 0.8=3.2\); Punjab \(5\times 0.8=4\); Andhra Pradesh \(28\times 0.8=22.4\); Uttar Pradesh \(24\times 0.7=16.8\); West Bengal 7.2; Tamil Nadu 9.1; Maharashtra 15.5; Karnataka 9.5; MP 12.4; Gujarat 12; Bihar 6; Kerala 2.4; Rajasthan 6.8; Himachal Pradesh 1.2 (all in million hectares).
Step 2: Productivity = production / rice area (tons per hectare):
Haryana \(19.2/3.2=6\); Punjab \(24/4=6\); Andhra Pradesh \(112/22.4=5\); Uttar Pradesh \(67.2/16.8=4\); West Bengal \(21.6/7.2=3\); Tamil Nadu \(27.3/9.1=3\); Maharashtra \(48/15.5\approx 3.1\); Karnataka \(19/9.5=2\); MP \(24.8/12.4=2\); Gujarat \(24/12=2\); Bihar \(12/6=2\); Kerala \(4.8/2.4=2\); Rajasthan \(6.8/6.8=1\); Himachal Pradesh \(1.2/1.2=1\).
Step 3: Pick the top two:
The two highest productivities are 6 and 6, for Haryana and Punjab (next best is Andhra Pradesh at 5).
Final Answer:
The correct option is (2): Haryana and Punjab
Was this answer helpful?
0
0
Question: 2
How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat?
How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat?
Show Hint
Per capita production = production (million tons) / population (million) in tons per person. Compute Gujarat first (24/51) and compare every state.
Updated On: Nov 4, 2026
- 3
- 5
- 4
- 6
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Gujarat's per capita production:
Gujarat produces 24 million tons with a population of 51 million: \(24/51\approx 0.471\) tons per person.
Step 2: Per capita production of the other states (production / population):
Himachal Pradesh \(1.2/6=0.20\); Kerala \(4.8/32=0.15\); Rajasthan \(6.8/56\approx 0.12\); Bihar \(12/83\approx 0.14\); Karnataka \(19/53\approx 0.36\); Haryana \(19.2/21\approx 0.91\); West Bengal \(21.6/80=0.27\); Punjab \(24/24=1.00\); Madhya Pradesh \(24.8/60\approx 0.41\); Tamil Nadu \(27.3/62\approx 0.44\); Maharashtra \(48/97\approx 0.495\); Uttar Pradesh \(67.2/166\approx 0.405\); Andhra Pradesh \(112/76\approx 1.47\).
Step 3: Count those above 0.471:
Haryana (0.91), Punjab (1.00), Maharashtra (0.495) and Andhra Pradesh (1.47) exceed Gujarat. Tamil Nadu (0.44), MP (0.41), UP (0.405) and the rest are below. So 4 states.
Final Answer:
The correct option is (3): 4
Gujarat produces 24 million tons with a population of 51 million: \(24/51\approx 0.471\) tons per person.
Step 2: Per capita production of the other states (production / population):
Himachal Pradesh \(1.2/6=0.20\); Kerala \(4.8/32=0.15\); Rajasthan \(6.8/56\approx 0.12\); Bihar \(12/83\approx 0.14\); Karnataka \(19/53\approx 0.36\); Haryana \(19.2/21\approx 0.91\); West Bengal \(21.6/80=0.27\); Punjab \(24/24=1.00\); Madhya Pradesh \(24.8/60\approx 0.41\); Tamil Nadu \(27.3/62\approx 0.44\); Maharashtra \(48/97\approx 0.495\); Uttar Pradesh \(67.2/166\approx 0.405\); Andhra Pradesh \(112/76\approx 1.47\).
Step 3: Count those above 0.471:
Haryana (0.91), Punjab (1.00), Maharashtra (0.495) and Andhra Pradesh (1.47) exceed Gujarat. Tamil Nadu (0.44), MP (0.41), UP (0.405) and the rest are below. So 4 states.
Final Answer:
The correct option is (3): 4
Was this answer helpful?
0
0
Question: 3
An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons. How many states are intensive rice producing states?
An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons. How many states are intensive rice producing states?
Show Hint
Production is in million tons and population in millions, so the ratio is directly tons per person: the condition is production/population at least 0.4.
Updated On: Nov 4, 2026
- 5
- 8
- 7
- 6
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Translate the condition:
"At least 400,000 tons per million of population" means at least 0.4 tons per person, i.e. production (million tons) / population (million) \(\ge 0.4\).
Step 2: Compute for every state:
Himachal Pradesh \(0.20\); Kerala \(0.15\); Rajasthan \(0.12\); Bihar \(0.14\); Karnataka \(19/53=0.358\); West Bengal \(0.27\) - these six fail.
Haryana \(19.2/21=0.914\); Gujarat \(24/51=0.471\); Punjab \(1.00\); Madhya Pradesh \(24.8/60=0.413\); Tamil Nadu \(27.3/62=0.440\); Maharashtra \(48/97=0.495\); Uttar Pradesh \(67.2/166=0.405\); Andhra Pradesh \(112/76=1.47\) - these eight pass.
Step 3: Count:
Haryana, Gujarat, Punjab, Madhya Pradesh, Tamil Nadu, Maharashtra, Uttar Pradesh and Andhra Pradesh: 8 states.
Final Answer:
The correct option is (2): 8
"At least 400,000 tons per million of population" means at least 0.4 tons per person, i.e. production (million tons) / population (million) \(\ge 0.4\).
Step 2: Compute for every state:
Himachal Pradesh \(0.20\); Kerala \(0.15\); Rajasthan \(0.12\); Bihar \(0.14\); Karnataka \(19/53=0.358\); West Bengal \(0.27\) - these six fail.
Haryana \(19.2/21=0.914\); Gujarat \(24/51=0.471\); Punjab \(1.00\); Madhya Pradesh \(24.8/60=0.413\); Tamil Nadu \(27.3/62=0.440\); Maharashtra \(48/97=0.495\); Uttar Pradesh \(67.2/166=0.405\); Andhra Pradesh \(112/76=1.47\) - these eight pass.
Step 3: Count:
Haryana, Gujarat, Punjab, Madhya Pradesh, Tamil Nadu, Maharashtra, Uttar Pradesh and Andhra Pradesh: 8 states.
Final Answer:
The correct option is (2): 8
Was this answer helpful?
0
0
Top CAT Questions
- Compare and contrast between Portia and Jessica characters in Merchant of Venice.
- In a triangle ABC,AB=AC=8cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area,in sq.cm,of the overlapping region between the two circles is
- The simple interest accrued on an amount of Rs.25,000 at the end of three years is Rs.7,500. What would be the compound interest accrued on the same amount at the same rate in the same period?
- What is the sum of all roots of the equation \(|x+4|^2–10|x+4|=24\)?
- A solid metal sphere is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius which is \(\frac{1}{9}\text{th}\) the larger sphere. If 10 litres of paint were needed to paint the larger sphere,how many litres are needed to paint all the smaller spheres?
View More Questions