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arithmetic density MCQ Questions for Class 12

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Practice Questions

33 questions tagged with arithmetic density.

यदि किसी region की arithmetic density 210 और habitable-area density 525 व्यक्ति प्रति वर्ग किलोमीटर है, तो habitable area total area का कितना प्रतिशत है?

If a region's arithmetic density is 210 and habitable-area density is 525 persons per square kilometre, what percentage of total area is habitable?

Explanation opens after your attempt
Correct Answer

B. 40 प्रतिशत40 percent

Explanation

Simple Explanation

Arithmetic density \(P/A=210\) और habitable density \(P/H=525\) है। इसलिए \(H/A=210/525=0.4\)। Habitable area total area का 40 percent है। दूसरा विकल्प सही है। Remaining 60 percent area under the stated assumption settlement के लिए effectively unusable माना गया है। / Arithmetic density is \(P/A=210\), while habitable-area density is \(P/H=525\). Therefore, \(H/A=210/525=0.4\). Habitable area is 40 percent of total area, making the second option correct. Under the stated assumption, the remaining 60 percent is effectively unusable for settlement.

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यदि किसी region की arithmetic density 250 है और cultivated land total area का 20 प्रतिशत है, तो cultivated-land density कितनी होगी?

If a region's arithmetic density is 250 and cultivated land is 20 percent of total area, what is the density relative to cultivated land?

Explanation opens after your attempt
Correct Answer

C. 1250 व्यक्ति प्रति वर्ग किलोमीटर1250 persons per square kilometre

Explanation

Simple Explanation

Cultivated land \(0.20A\) है। इसलिए cultivated-land density \(250/0.20=1250\) व्यक्ति प्रति वर्ग किलोमीटर cultivated land होगी। तीसरा विकल्प सही है। यह arithmetic density से पांच गुना है क्योंकि productive land total area का केवल one-fifth है। परीक्षा में denominator shrink होने पर density increase का inverse relation समझें। / Cultivated land is \(0.20A\). Therefore, density relative to cultivated land is \(250/0.20=1250\) persons per square kilometre of cultivated land. The third option is correct. This is five times the arithmetic density because productive land is only one-fifth of total area. In examinations, understand the inverse relationship between denominator size and density.

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यदि किसी region में arithmetic density 140 है लेकिन cultivated-land density 700 है, तो cultivated land total area का कितना प्रतिशत है?

If a region has an arithmetic density of 140 but a cultivated-land density of 700, what percentage of total area is cultivated?

Explanation opens after your attempt
Correct Answer

B. 20 प्रतिशत20 percent

Explanation

Simple Explanation

Arithmetic density \(P/A=140\) और cultivated density \(P/C=700\) है। इसलिए \(C/A=140/700=0.20\)। Cultivated land total area का 20 percent है। दूसरा विकल्प सही है। High cultivated-land density limited productive land पर strong population pressure का संकेत दे सकती है even when arithmetic density moderate हो। / Arithmetic density is \(P/A=140\), while cultivated-land density is \(P/C=700\). Therefore, \(C/A=140/700=0.20\). Cultivated land is 20 percent of total area, making the second option correct. A high cultivated-land density can indicate strong population pressure on limited productive land even when arithmetic density is moderate.

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यदि किसी region की arithmetic density 192 है और cultivated land total area का 24 प्रतिशत है, तो cultivated-land density कितनी होगी?

If a region's arithmetic density is 192 and cultivated land is 24 percent of total area, what is the density relative to cultivated land?

Explanation opens after your attempt
Correct Answer

C. 800 व्यक्ति प्रति वर्ग किलोमीटर800 persons per square kilometre

Explanation

Simple Explanation

Cultivated land \(0.24A\) है। इसलिए cultivated-land density \(192/0.24=800\) व्यक्ति प्रति वर्ग किलोमीटर cultivated land होगी। तीसरा विकल्प सही है। Arithmetic density पूरे land area पर average है, जबकि cultivated-land density productive land पर population pressure दिखाती है। इसलिए दोनों values में बड़ा अंतर हो सकता है। / Cultivated land is \(0.24A\). Therefore, density relative to cultivated land is \(192/0.24=800\) persons per square kilometre of cultivated land. The third option is correct. Arithmetic density averages population over all land, while cultivated-land density reflects pressure on productive land. The two values can therefore differ substantially.

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यदि किसी region की arithmetic density 225 और habitable-area density 375 व्यक्ति प्रति वर्ग किलोमीटर है, तो habitable area total area का कितना प्रतिशत है?

If a region's arithmetic density is 225 and habitable-area density is 375 persons per square kilometre, what percentage of total area is habitable?

Explanation opens after your attempt
Correct Answer

B. 60 प्रतिशत60 percent

Explanation

Simple Explanation

Arithmetic density \(P/A=225\) और habitable density \(P/H=375\) है। Therefore \(H/A=225/375=0.60\)। Habitable area total area का 60 percent है। इसलिए दूसरा विकल्प सही है। Remaining 40 percent area uninhabitable or effectively unused माना गया है under the question's assumption। / Arithmetic density is \(P/A=225\), while habitable-area density is \(P/H=375\). Therefore, \(H/A=225/375=0.60\). Habitable area is 60 percent of total area, making the second option correct. Under the question's assumption, the remaining 40 percent is uninhabitable or effectively unused for settlement.

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यदि किसी region का 28 प्रतिशत area uninhabitable है और arithmetic density 288 व्यक्ति प्रति वर्ग किलोमीटर है, तो habitable-area density कितनी होगी?

If 28 percent of a region's area is uninhabitable and its arithmetic density is 288 persons per square kilometre, what is the density over the habitable area?

Explanation opens after your attempt
Correct Answer

B. 400 व्यक्ति प्रति वर्ग किलोमीटर400 persons per square kilometre

Explanation

Simple Explanation

Habitable area total area का 72 प्रतिशत है। इसलिए habitable-area density \(288/0.72=400\) व्यक्ति प्रति वर्ग किलोमीटर होगी। दूसरा विकल्प सही है। Arithmetic density पूरे area को denominator में रखती है, जबकि habitable density केवल usable settlement area use करती है। इसलिए habitable density अधिक होती है। परीक्षा में denominator definition पढ़ना आवश्यक है। / Habitable area is 72 percent of total area. Therefore, density over habitable land is \(288/0.72=400\) persons per square kilometre. The second option is correct. Arithmetic density uses the whole area as the denominator, while habitable density uses only usable settlement land. This makes habitable density higher. In examinations, always identify the denominator definition carefully.

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यदि किसी region का density 540 व्यक्ति प्रति वर्ग किलोमीटर है और 10 प्रतिशत area water bodies के कारण settlement के लिए अनुपलब्ध है तो remaining 90 प्रतिशत area पर effective density कितना होगा?

If a region has a density of 540 persons per square kilometre and 10 percent of its area is unavailable for settlement because of water bodies what is the effective density over the remaining 90 percent area?

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Correct Answer

B. 600 व्यक्ति प्रति वर्ग किलोमीटर600 persons per square kilometre

Explanation

Simple Explanation

यदि total area \(A\) है तो population \(540A\) होगी। available area \(0.9A\) है। effective density \(\frac{540A}{0.9A}=600\) व्यक्ति प्रति वर्ग किलोमीटर होगा। इसलिए विकल्प B सही है। केवल 10 प्रतिशत direct addition करने पर 594 मिलता जो denominator effect को सही नहीं दर्शाता। परीक्षा में unavailable area हटाने पर same population smaller denominator पर divide होती है। / If total area is \(A\), population is \(540A\). Available settlement area is \(0.9A\). Effective density is \(\frac{540A}{0.9A}=600\) persons per square kilometre. Therefore option B is correct. Simply adding 10 percent to the original density would produce 594 and ignore the denominator effect. When unavailable area is removed, the same population is divided by a smaller effective area.

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किसी region का arithmetic density 420 व्यक्ति प्रति वर्ग किलोमीटर है। यदि केवल 70 प्रतिशत area वास्तव में बसावट योग्य है और पूरी population उसी पर रहती है तो effective density कितना होगा?

A region has an arithmetic density of 420 persons per square kilometre. If only 70 percent of its area is actually suitable for settlement and the entire population lives there what is the effective density?

Explanation opens after your attempt
Correct Answer

C. 600 व्यक्ति प्रति वर्ग किलोमीटर600 persons per square kilometre

Explanation

Simple Explanation

यदि total area \(A\) है तो total population \(420A\) होगी। settlement-suitable area \(0.70A\) है। effective density \(\frac{420A}{0.70A}=600\) व्यक्ति प्रति वर्ग किलोमीटर होगा। इसलिए विकल्प C सही है। 560 direct percentage addition का परिणाम है जो denominator effect को सही नहीं दर्शाता। परीक्षा में effective area घटने पर same population छोटे usable space में concentrated होती है इसलिए density बढ़ता है। / If total area is \(A\), total population is \(420A\). Settlement-suitable area is \(0.70A\). Effective density is \(\frac{420A}{0.70A}=600\) persons per square kilometre. Therefore option C is correct. A value such as 560 results from direct percentage addition and fails to capture the denominator effect. When effective area shrinks while population remains the same, population becomes concentrated in less usable space and density rises.

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यदि किसी region की arithmetic density 160 है और habitable-area density 400 है, तो habitable area total area का कितना percent है?

If a region's arithmetic density is 160 and density over habitable area is 400, what percentage of total area is habitable?

Explanation opens after your attempt
Correct Answer

B. 40 प्रतिशत40 percent

Explanation

Simple Explanation

Arithmetic density \(P/A=160\) है और habitable density \(P/H=400\) है। इसलिए \(H/A = 160/400 = 0.4\)। Habitable area total area का 40 percent है। इसलिए दूसरा विकल्प सही है। बाकी 60 percent area uninhabitable or effectively unused हो सकता है under the stated assumption। / Arithmetic density is \(P/A=160\), while habitable-area density is \(P/H=400\). Therefore, \(H/A=160/400=0.4\). Habitable area is 40 percent of total area, making the second option correct. Under the stated assumption, the remaining 60 percent is uninhabitable or effectively unused for settlement.

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यदि किसी region में cultivated-land density arithmetic density की 4 गुना है, तो cultivated land total area का कितना percent है?

If density relative to cultivated land is four times the arithmetic density, what percentage of total area is cultivated?

Explanation opens after your attempt
Correct Answer

B. 25 प्रतिशत25 percent

Explanation

Simple Explanation

Arithmetic density \(P/A\) और cultivated-land density \(P/C\) है। यदि \(P/C = 4(P/A)\), तो \(A/C=4\), इसलिए \(C=A/4\)। Cultivated land total area का 25 percent है। इसलिए दूसरा विकल्प सही है। यह inverse denominator relationship का application है। / Arithmetic density is \(P/A\), while density relative to cultivated land is \(P/C\). If \(P/C = 4(P/A)\), then \(A/C=4\), so \(C=A/4\). Thus cultivated land is 25 percent of total area. Therefore, the second option is correct. This is an application of the inverse relationship between density and the area used as denominator.

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यदि किसी region की arithmetic density 220 है और cultivated land total area का 44 प्रतिशत है, तो cultivated-land density कितनी होगी?

If a region's arithmetic density is 220 and cultivated land is 44 percent of total area, what is the density relative to cultivated land?

Explanation opens after your attempt
Correct Answer

C. 500 व्यक्ति प्रति वर्ग किलोमीटर500 persons per square kilometre

Explanation

Simple Explanation

Cultivated area \(0.44A\) है। Population \(220A\) के बराबर conceptual form में है। इसलिए cultivated-land density \(220/0.44 = 500\) व्यक्ति प्रति वर्ग किलोमीटर cultivated land होगी। तीसरा विकल्प सही है। Total area पर arithmetic density productive land पर वास्तविक pressure को understate कर सकती है। / Cultivated area is \(0.44A\). In conceptual form, population is equivalent to \(220A\). Therefore, density relative to cultivated land is \(220/0.44=500\) persons per square kilometre of cultivated land. The third option is correct. Arithmetic density based on total area can understate pressure on productive land.

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यदि किसी region की arithmetic density low है लेकिन cultivated-land density बहुत high है, तो कौन-सा conclusion सबसे उचित है?

If a region has low arithmetic density but very high density relative to cultivated land, which conclusion is most appropriate?

Explanation opens after your attempt
Correct Answer

B. Usable agricultural land पर population pressure high हो सकता हैPopulation pressure on usable agricultural land may be high

Explanation

Simple Explanation

Low arithmetic density large total land area के कारण हो सकती है, लेकिन यदि cultivated land बहुत सीमित है तो वही population productive land पर concentrated pressure डाल सकती है। इसलिए दूसरा विकल्प सही है। Arithmetic density गलत नहीं है; वह केवल अलग denominator use करती है। परीक्षा में different density measures की interpretation समझना जरूरी है। / Low arithmetic density may result from a large total land area, but if cultivated land is very limited, the same population can place heavy pressure on productive land. Therefore, the second option is correct. Arithmetic density is not wrong; it simply uses a different denominator. In examinations, understanding the interpretation of different density measures is essential.

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यदि किसी region की arithmetic density 180 है और cultivated land total area का केवल 30 प्रतिशत है, तो सभी लोगों के cultivated land पर निर्भर होने की स्थिति में population-to-cultivated-land ratio क्या होगा?

If a region's arithmetic density is 180 and cultivated land is only 30 percent of total area, what is the population-to-cultivated-land ratio if all people depend on cultivated land?

Explanation opens after your attempt
Correct Answer

C. 600 व्यक्ति प्रति वर्ग किलोमीटर cultivated land600 persons per square kilometre of cultivated land

Explanation

Simple Explanation

Arithmetic density \(P/A=180\) है। Cultivated land \(0.30A\) है। इसलिए population per cultivated area \(P/(0.30A)=180/0.30=600\) व्यक्ति प्रति वर्ग किलोमीटर cultivated land होगा। तीसरा विकल्प सही है। यह measure total land की बजाय productive land पर pressure को अधिक स्पष्ट करता है। / Arithmetic density is \(P/A=180\). Cultivated land is \(0.30A\). Therefore, population per cultivated area is \(P/(0.30A)=180/0.30=600\) persons per square kilometre of cultivated land. The third option is correct. This type of measure gives a clearer indication of pressure on productive land than arithmetic density based on total land area.

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यदि किसी region का 35 प्रतिशत area uninhabitable है और arithmetic density 260 व्यक्ति प्रति वर्ग किलोमीटर है, तो सभी residents habitable area में रहने पर habitable-area density लगभग कितनी होगी?

If 35 percent of a region is uninhabitable and its arithmetic density is 260 persons per square kilometre, what is the approximate density over the habitable area if all residents live there?

Explanation opens after your attempt
Correct Answer

B. 400 व्यक्ति प्रति वर्ग किलोमीटर400 persons per square kilometre

Explanation

Simple Explanation

Habitable area total का 65 percent है। Therefore habitable-area density \(260/0.65 = 400\) व्यक्ति प्रति वर्ग किलोमीटर होगी। इसलिए दूसरा विकल्प सही है। Arithmetic density पूरे land area को denominator में रखती है, जिससे actual occupied land पर concentration कम दिखाई दे सकती है। परीक्षा में effective or habitable area की definition को ध्यान से पढ़ना चाहिए। / Habitable area is 65 percent of total area. Therefore, density over the habitable area is \(260/0.65 = 400\) persons per square kilometre. The second option is correct. Arithmetic density uses the entire land area as the denominator, which can make concentration on the actually occupied land appear lower. In examinations, carefully identify whether total area or habitable area is being used.

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यदि किसी region का density 500 व्यक्ति प्रति वर्ग किलोमीटर है और 25 प्रतिशत area रहने योग्य नहीं है तो habitable 75 प्रतिशत area पर effective density कितना होगा?

If a region has a density of 500 persons per square kilometre and 25 percent of its area is uninhabitable what is the effective density on the habitable 75 percent of area?

Explanation opens after your attempt
Correct Answer

C. 667 व्यक्ति प्रति वर्ग किलोमीटर667 persons per square kilometre

Explanation

Simple Explanation

habitable area total का 75 प्रतिशत अर्थात \(0.75A\) है। population total density के अनुसार \(500A\) होगी। इसलिए effective density \(\frac{500A}{0.75A}=666.67\) व्यक्ति प्रति वर्ग किलोमीटर यानी लगभग 667 होगा। विकल्प C सही है। 625 केवल 25 प्रतिशत direct addition से आता जो inverse relation को ignore करता है। / Habitable area is 75 percent of total or \(0.75A\). Population is \(500A\) according to the total density. Effective density becomes \(\frac{500A}{0.75A}=666.67\) persons per square kilometre, approximately 667. Therefore option C is correct. A value based on simply adding 25 percent would ignore the inverse area relationship.

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एक region का arithmetic density 360 व्यक्ति प्रति वर्ग किलोमीटर है। यदि केवल 80 प्रतिशत land habitable है और पूरी population उसी पर रहती है तो habitable land density कितना होगा?

A region has an arithmetic density of 360 persons per square kilometre. If only 80 percent of the land is habitable and the entire population lives there what is the density of the habitable land?

Explanation opens after your attempt
Correct Answer

C. 450 व्यक्ति प्रति वर्ग किलोमीटर450 persons per square kilometre

Explanation

Simple Explanation

यदि total area \(A\) है तो population \(360A\) होगी। habitable area \(0.8A\) है। इसलिए effective density \(\frac{360A}{0.8A}=450\) व्यक्ति प्रति वर्ग किलोमीटर होगा। विकल्प C सही है। 420 केवल direct percentage addition से निकलता है जो गलत है। परीक्षा में habitable area density को total arithmetic density से अधिक होने की दिशा भी logical check देती है। / If total area is \(A\), population is \(360A\). Habitable area is \(0.8A\). Effective density is therefore \(\frac{360A}{0.8A}=450\) persons per square kilometre. Option C is correct. A value of 420 would come from incorrectly adding a percentage directly. In examinations the fact that habitable-area density must exceed total arithmetic density provides a useful logical check.

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यदि किसी देश की कुल land area का 35 प्रतिशत भाग निर्जन है और national average density 260 व्यक्ति प्रति वर्ग किलोमीटर है तो inhabited 65 प्रतिशत area का average density कितना होगा यदि पूरी population वहीं रहती है?

If 35 percent of a country's land area is uninhabited and national average density is 260 persons per square kilometre what is the average density over the inhabited 65 percent of area if the entire population lives there?

Explanation opens after your attempt
Correct Answer

C. 400 व्यक्ति प्रति वर्ग किलोमीटर400 persons per square kilometre

Explanation

Simple Explanation

मान लें total area \(A\) है तो population \(260A\) होगी। inhabited area \(0.65A\) है। inhabited density \(\frac{260A}{0.65A}=400\) व्यक्ति प्रति वर्ग किलोमीटर होगा। इसलिए विकल्प C सही है। 35 प्रतिशत area हटने का अर्थ 35 प्रतिशत density जोड़ना नहीं है क्योंकि area denominator में है। परीक्षा में effective area कम होने पर reciprocal relation का उपयोग करें। / Let total area be \(A\), so population is \(260A\). Inhabited area is \(0.65A\). Density over inhabited land is \(\frac{260A}{0.65A}=400\) persons per square kilometre. Therefore option C is correct. Removing 35 percent of area does not mean adding 35 percent to density because area is in the denominator. Use the reciprocal relationship when effective area decreases.

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यदि किसी region की arithmetic density low है लेकिन physiological pressure on cultivated land high है, तो कौन-सा general lesson सही है?

If a region has low arithmetic density but high pressure on cultivated land, what general lesson is correct?

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A. Arithmetic density alone resource pressure को पूरी तरह नहीं बतातीArithmetic density alone does not fully show resource pressure

Explanation

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Arithmetic density total population को total land area से divide करती है। यदि large parts unsuitable or uncultivated हों और people limited productive land पर depend करें, तो arithmetic density low होते हुए भी usable land पर pressure high हो सकता है। इसलिए पहला विकल्प सही है। यह arithmetic density की interpretive limitation दिखाता है। / Arithmetic density divides total population by total land area. If large parts of the region are unsuitable or uncultivated while people depend on limited productive land, pressure on usable land can be high even when arithmetic density is low. Therefore, the first option is correct. This illustrates an important interpretive limitation of arithmetic density.

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यदि किसी region की average density 200 है लेकिन 40 प्रतिशत area uninhabitable है और सभी residents बाकी area में रहते हैं, तो habitable-area density कितनी होगी?

If a region has an average density of 200 but 40 percent of its area is uninhabitable and all residents live in the remaining area, what is the density over the habitable area?

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C. 333.3 व्यक्ति प्रति वर्ग किलोमीटर333.3 persons per square kilometre

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Habitable area total area का 60 percent है। यदि total population same है, तो habitable-area density \(200/0.60 = 333.3\) persons per square kilometre होगी। इसलिए तीसरा विकल्प सही है। Arithmetic density पूरे area को denominator में रखती है, इसलिए actual habitable-zone concentration lower दिखाई पड़ सकती है। / Habitable land is 60 percent of total area. With the same total population, density over the habitable area is \(200/0.60 = 333.3\) persons per square kilometre. Therefore, the third option is correct. Arithmetic density uses the entire area in the denominator and can therefore make concentration within habitable zones appear lower than it actually is.

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किस स्थिति में arithmetic density और actual settlement concentration के बीच सबसे अधिक अंतर होने की संभावना है?

Under which situation is the difference between arithmetic density and actual settlement concentration likely to be greatest?

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B. Population कुछ छोटे urban clusters में concentrated हो और बाकी area लगभग empty होPopulation is concentrated in a few small urban clusters while the rest is nearly empty

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Arithmetic density पूरे region का average population-to-area ratio देती है। यदि अधिकांश people few small urban clusters में रहते हों और बाकी area sparsely populated या empty हो, तो average density local high-density concentrations को strongly dilute करेगी। इसलिए दूसरा विकल्प सही है। Uniform distribution होने पर arithmetic density local pattern का बेहतर approximation होती। / Arithmetic density gives the average population-to-area ratio for the entire region. If most people live in a few small urban clusters while the remaining area is sparsely populated or empty, the average strongly dilutes the true local concentrations. Therefore, the second option is correct. When population is evenly distributed, arithmetic density is a much better approximation of local conditions.

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यदि किसी city की official boundary में large uninhabited forest reserve शामिल कर दिया जाए, तो arithmetic density पर क्या effect होगा?

If a large uninhabited forest reserve is added to a city's official boundary, what effect will occur on arithmetic density?

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B. Density घटेगी क्योंकि denominator area बढ़ेगाDensity will decrease because the denominator area increases

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Arithmetic density total population को official area से divide करती है। यदि uninhabited forest reserve boundary में add हो जाए तो area बढ़ेगा लेकिन population बहुत कम या zero additional होगी। इसलिए denominator बढ़ने से density घटेगी और दूसरा विकल्प सही है। यह boundary-definition effect है। परीक्षा में cities की density compare करते समय municipal limits comparable हैं या नहीं, यह देखना जरूरी है। / Arithmetic density divides total population by official area. If an uninhabited forest reserve is added to the boundary, area increases while additional population is negligible or zero. The larger denominator therefore reduces density, making the second option correct. This is a boundary-definition effect. When comparing city densities, it is important to check whether municipal boundaries are comparable.

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यदि किसी region की population 480000 और arithmetic density 320 व्यक्ति प्रति वर्ग किलोमीटर है, तो उसका total area कितना होगा?

If a region has a population of 480000 and an arithmetic density of 320 persons per square kilometre, what is its total area?

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C. 1500 वर्ग किलोमीटर1500 square kilometres

Explanation

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Arithmetic density के सूत्र से \(Area = \frac{Population}{Density}\)। इसलिए \(Area = \frac{480000}{320} = 1500\) square kilometres। तीसरा विकल्प सही है। Verification के लिए \(320 \times 1500 = 480000\) मिलता है। परीक्षा में area calculation करते समय unit square kilometres होगी और answer को multiplication से cross-check करना उपयोगी है। / From the arithmetic-density formula, \(Area = \frac{Population}{Density}\). Therefore, \(Area = \frac{480000}{320} = 1500\) square kilometres. The third option is correct. As a verification, \(320 \times 1500 = 480000\). In examinations, the unit for area must be square kilometres, and checking the answer by multiplication is useful.

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यदि किसी region का density 400 व्यक्ति प्रति वर्ग किलोमीटर है और total area का 20 प्रतिशत हिस्सा रहने योग्य नहीं है तो usable area पर effective density कितना होगा यदि पूरी population usable area में रहती है?

If a region has a density of 400 persons per square kilometre and 20 percent of total area is uninhabitable what is the effective density on usable land if the entire population lives there?

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C. 500 व्यक्ति प्रति वर्ग किलोमीटर500 persons per square kilometre

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usable area कुल का 80 प्रतिशत अर्थात \(0.8A\) है जबकि population वही \(400A\) है। effective density \(\frac{400A}{0.8A}=500\) व्यक्ति प्रति वर्ग किलोमीटर होगा। इसलिए विकल्प C सही है। 480 केवल 20 प्रतिशत direct addition का परिणाम है जो inverse area relation को गलत समझता है। परीक्षा में smaller effective area density को proportionately अधिक करता है। / Usable area is 80 percent of total area or \(0.8A\), while population remains \(400A\). Effective density is \(\frac{400A}{0.8A}=500\) persons per square kilometre. Therefore option C is correct. The value 480 incorrectly adds 20 percent directly and ignores the inverse relationship with area. In examinations a smaller effective area raises density according to reciprocal proportion.

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यदि दो regions का arithmetic density समान है लेकिन एक region में population कुछ cities में concentrated है और दूसरे में evenly spread है तो कौन-सा कथन सही है?

If two regions have the same arithmetic density but one has population concentrated in a few cities while the other is evenly spread which statement is correct?

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B. density समान होने के बावजूद distribution अलग हो सकता हैDistribution may differ despite equal density

Explanation

Simple Explanation

arithmetic density केवल total population और total area का ratio बताता है। यह नहीं बताता कि population region के भीतर कहाँ रहती है। इसलिए समान density वाले दो क्षेत्रों में एक highly clustered और दूसरा evenly distributed हो सकता है। विकल्प B सही है। परीक्षा में density और distribution को अलग concepts के रूप में समझना आवश्यक है क्योंकि एक average numerical measure spatial pattern का पूरा चित्र नहीं देता। / Arithmetic density gives only the ratio of total population to total area. It does not show where people are located within the region. Therefore two regions with equal density can still have very different spatial patterns such as clustered settlement in one and more even spread in another. Option B is correct. In examinations density and distribution should be treated as distinct concepts because one average number cannot fully describe spatial arrangement.

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एक region का arithmetic density 300 व्यक्ति प्रति वर्ग किलोमीटर है। यदि केवल 75 प्रतिशत land area रहने योग्य हो और पूरी population उसी पर रहती हो तो habitable area density कितना होगा?

A region has an arithmetic density of 300 persons per square kilometre. If only 75 percent of its land area is habitable and the entire population lives there what is the density over habitable land?

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C. 400 व्यक्ति प्रति वर्ग किलोमीटर400 persons per square kilometre

Explanation

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मान लें total area \(A\) है तो population \(300A\) होगी। habitable area \(0.75A\) है। habitable area density \(=\frac{300A}{0.75A}=400\) व्यक्ति प्रति वर्ग किलोमीटर होगा। इसलिए विकल्प C सही है। 375 केवल 25 प्रतिशत जोड़ने की गलत विधि है। परीक्षा में जब population समान रहे और effective area कम हो तो density inverse proportion से बदलता है। / Let total area be \(A\). Then population is \(300A\). Habitable area is \(0.75A\). Density over habitable land is \(\frac{300A}{0.75A}=400\) persons per square kilometre. Therefore option C is correct. A value of 375 incorrectly adds 25 percent directly. In examinations when population is unchanged and effective area becomes smaller density changes according to inverse proportion.

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यदि किसी city's municipal boundary में large lake शामिल कर दी जाए और population unchanged रहे, तो calculated arithmetic density पर क्या प्रभाव होगा?

If a large lake is added within a city's municipal boundary while population remains unchanged, what effect will occur on calculated arithmetic density?

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B. Density घटेगीDensity will decrease

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यदि total administrative area calculation में lake area भी include हो और population unchanged रहे, तो denominator बढ़ेगा। इसलिए arithmetic density घटेगी। दूसरा विकल्प सही है। यह example बताता है कि density boundary and area-definition sensitive measure है। परीक्षा में different cities की density compare करते समय area definitions comparable होना जरूरी है। / If the lake area is included in total administrative area while population remains unchanged, the denominator increases. Therefore, arithmetic density decreases. The second option is correct. This example shows that density is sensitive to boundary and area definitions. In examinations, area definitions should be comparable when comparing densities of different cities.

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एक region की population 400000 और area 1600 वर्ग किलोमीटर है। दूसरे की population 300000 और area 1000 है। किसका density अधिक है?

One region has a population of 400000 and an area of 1600 square kilometres. Another has 300000 people and an area of 1000. Which has higher density?

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Correct Answer

B. दूसरा regionSecond region

Explanation

Simple Explanation

पहले region का density \(\frac{400000}{1600}=250\) व्यक्ति प्रति वर्ग किलोमीटर है। दूसरे का density \(\frac{300000}{1000}=300\) व्यक्ति प्रति वर्ग किलोमीटर है। इसलिए दूसरा region अधिक dense है और विकल्प B सही है। केवल अधिक total population देखकर पहला region चुनना गलत होगा। परीक्षा में density comparison के लिए population और area दोनों का उपयोग करें। / The first region has a density of \(\frac{400000}{1600}=250\) persons per square kilometre. The second has \(\frac{300000}{1000}=300\) persons per square kilometre. Therefore the second region is denser and option B is correct. Choosing the first simply because it has a larger total population would be incorrect. In examinations, both population and area must be used for density comparison.

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किस क्षेत्र में arithmetic density अधिक होने की संभावना है यदि दोनों की total population समान हो?

Which region is likely to have higher arithmetic density if both have the same total population?

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A. छोटे land area वाला regionRegion with smaller land area

Explanation

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arithmetic density total population को total land area से divide करके मिलता है। समान population होने पर छोटा land area denominator को कम करता है जिससे ratio बड़ा हो जाता है। इसलिए विकल्प A सही है। बड़े area में वही population अधिक फैलेगी और density कम होगा। परीक्षा में arithmetic density के लिए population और total land area के direct ratio को समझना आवश्यक है। / Arithmetic density is calculated by dividing total population by total land area. With the same population a smaller land area produces a smaller denominator and therefore a larger ratio. Hence option A is correct. In a larger area the same population is spread more widely and density is lower. In examinations, arithmetic density should always be interpreted through the population-to-land-area ratio.

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किस स्थिति में दो regions की arithmetic density समान होने पर भी settlement pattern अलग हो सकता है?

Under which situation can two regions have the same arithmetic density but different settlement patterns?

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A. एक region में population evenly spread हो और दूसरे में few cities में concentrated होPopulation is evenly spread in one region but concentrated in a few cities in the other

Explanation

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Arithmetic density केवल average population-to-area ratio बताती है। Two regions का ratio same हो सकता है, लेकिन एक में population broadly dispersed और दूसरे में few urban centers में highly concentrated हो सकती है। इसलिए पहला विकल्प सही है। परीक्षा में density और distribution को related but different measures के रूप में समझना जरूरी है। / Arithmetic density gives only the average population-to-area ratio. Two regions can have the same ratio while one has a widely dispersed population and the other has population concentrated in a few urban centers. Therefore, the first option is correct. In examinations, density and distribution should be understood as related but different measures.

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किस स्थिति में arithmetic density misleading हो सकती है?

Under which situation can arithmetic density be misleading?

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A. जब population region में बहुत unevenly distributed होWhen population is very unevenly distributed within the region

Explanation

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Arithmetic density पूरे region के total population को total area से divide करती है। यदि population few urban centers में concentrated हो और large areas almost empty हों तो average density actual local contrasts को hide कर सकती है। इसलिए पहला विकल्प सही है। यह formula गलत नहीं होता, लेकिन interpretation incomplete हो सकती है। परीक्षा में average measure की limitation समझना जरूरी है। / Arithmetic density divides total population by total area. If population is concentrated in a few urban centers while large parts of the region are nearly empty, the average can hide strong local contrasts. Therefore, the first option is correct. The formula itself is not wrong, but its interpretation may be incomplete. In examinations, understand the limitation of average measures.

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