Class 12 density multiplier MCQ Questions

Question 1/8 Expert Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 19

यदि किसी region की density 300 से बढ़कर 375 हो और area 20 प्रतिशत बढ़े, तो population में कितने प्रतिशत वृद्धि हुई?

If a region's density rises from 300 to 375 while area increases by 20 percent, by what percentage did population increase?

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Correct Answer

C. 50 प्रतिशत50 percent

Explanation

Simple Explanation

Density multiplier \(375/300 = 1.25\) है। Area multiplier 1.20 है। इसलिए population multiplier \(1.25 \times 1.20 = 1.50\) होगा। Population 50 percent बढ़ी और तीसरा विकल्प सही है। केवल density increase 25 percent को population increase मानना गलत होगा क्योंकि area भी बढ़ी है। / The density multiplier is \(375/300=1.25\). The area multiplier is 1.20. Therefore, population multiplier is \(1.25 \times 1.20 = 1.50\). Population increased by 50 percent, so the third option is correct. It would be wrong to treat the 25 percent density increase as the population increase because area also expanded.

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Question 2/8 Expert Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 19

यदि किसी region की density 720 व्यक्ति प्रति वर्ग किलोमीटर है और population 16 प्रतिशत बढ़ती है जबकि area 20 प्रतिशत बढ़ता है, तो नई density कितनी होगी?

If a region has a density of 720 persons per square kilometre and population increases by 16 percent while area increases by 20 percent, what is the new density?

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Correct Answer

B. 696 व्यक्ति प्रति वर्ग किलोमीटर696 persons per square kilometre

Explanation

Simple Explanation

नई density multiplier \(\frac{1.16}{1.20}=0.96666...\) है। इसलिए new density \(720 \times 0.96666...\approx696\) व्यक्ति प्रति वर्ग किलोमीटर होगी। दूसरा विकल्प सही है। Population बढ़ी है, लेकिन area थोड़ी अधिक proportion में बढ़ी है, इसलिए density थोड़ा घटती है। यह प्रश्न दिखाता है कि direction केवल population growth देखकर तय नहीं करनी चाहिए। परीक्षा में numerator और denominator के relative growth rates compare करें। / The new density multiplier is \(\frac{1.16}{1.20}=0.96666...\). Thus the new density is \(720 \times 0.96666...\approx696\) persons per square kilometre. Therefore, the second option is correct. Population rises, but area grows by a slightly larger proportion, so density falls slightly. This shows why the direction of density change cannot be inferred from population growth alone. Compare the relative growth rates of numerator and denominator.

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Question 3/8 Hard Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 20

यदि किसी region की density 350 व्यक्ति प्रति वर्ग किलोमीटर है और population 40 प्रतिशत बढ़ती है जबकि area 12 प्रतिशत बढ़ता है, तो नई density approximately कितनी होगी?

If a region has a density of 350 persons per square kilometre and population increases by 40 percent while area increases by 12 percent, what is the approximate new density?

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Correct Answer

C. 437.5 व्यक्ति प्रति वर्ग किलोमीटर437.5 persons per square kilometre

Explanation

Simple Explanation

New density multiplier \(\frac{1.40}{1.12} = 1.25\) है। इसलिए new density \(350 \times 1.25 = 437.5\) persons per square kilometre होगी। तीसरा विकल्प सही है। Population growth area growth से अधिक है, इसलिए density बढ़ती है। Hard questions में percentage multipliers को exact fractions में simplify करना उपयोगी है। / The new density multiplier is \(\frac{1.40}{1.12}=1.25\). Therefore, the new density is \(350 \times 1.25 = 437.5\) persons per square kilometre. The third option is correct. Population grows faster than area, so density rises. In harder questions, simplifying percentage multipliers into exact ratios can make the calculation easier.

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Question 4/8 Hard Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 20

यदि किसी region की population 30 प्रतिशत बढ़ती है और density केवल 10 प्रतिशत बढ़ती है, तो area में लगभग कितना परिवर्तन हुआ है?

If a region's population increases by 30 percent while density increases by only 10 percent, approximately how much has area changed?

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Correct Answer

A. लगभग 18.2 प्रतिशत बढ़ाIncreased by about 18.2 percent

Explanation

Simple Explanation

क्योंकि \(D=P/A\), इसलिए \(A=P/D\)। New area multiplier \(\frac{1.3}{1.1}=1.1818...\) है। इसका अर्थ area लगभग 18.2 percent बढ़ा। इसलिए पहला विकल्प सही है। Population growth density growth से तेज है, इसलिए area भी expand हुआ होगा। परीक्षा में area change निकालने के लिए population multiplier को density multiplier से divide करें। / Since \(D=P/A\), area is \(A=P/D\). The new area multiplier is \(\frac{1.3}{1.1}=1.1818...\), meaning area increased by about 18.2 percent. Therefore, the first option is correct. Population grows faster than density, so area must also have expanded. To find area change, divide the population multiplier by the density multiplier.

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Question 5/8 Hard Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 20

यदि किसी region की density 500 व्यक्ति प्रति वर्ग किलोमीटर है और population 25 प्रतिशत घटती है जबकि area 20 प्रतिशत बढ़ता है, तो नई density कितनी होगी?

If a region has a density of 500 persons per square kilometre and population decreases by 25 percent while area increases by 20 percent, what is the new density?

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Correct Answer

B. 312.5 व्यक्ति प्रति वर्ग किलोमीटर312.5 persons per square kilometre

Explanation

Simple Explanation

Population 25 प्रतिशत घटने पर multiplier 0.75 और area 20 प्रतिशत बढ़ने पर multiplier 1.2 होगा। नई density \(500 \times \frac{0.75}{1.2} = 500 \times 0.625 = 312.5\) व्यक्ति प्रति वर्ग किलोमीटर होगी। इसलिए दूसरा विकल्प सही है। 375 केवल population decline का effect दिखाता, area increase को नहीं। परीक्षा में numerator और denominator दोनों changes को शामिल करना आवश्यक है। / A 25 percent population decrease gives a multiplier of 0.75, while a 20 percent area increase gives a multiplier of 1.2. The new density is \(500 \times \frac{0.75}{1.2} = 500 \times 0.625 = 312.5\) persons per square kilometre. Therefore, the second option is correct. A value of 375 would consider only the population decline and ignore the area increase. Both numerator and denominator changes must be included.

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Question 6/8 Medium Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 21

एक region में density 220 व्यक्ति प्रति वर्ग किलोमीटर है। यदि population double हो और area 25 प्रतिशत बढ़े, तो new density कितनी होगी?

A region has a density of 220 persons per square kilometre. If population doubles and area increases by 25 percent, what is the new density?

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Correct Answer

C. 352 व्यक्ति प्रति वर्ग किलोमीटर352 persons per square kilometre

Explanation

Simple Explanation

New density multiplier \(\frac{2}{1.25} = 1.6\) है। इसलिए new density \(220 \times 1.6 = 352\) persons per square kilometre। तीसरा विकल्प सही है। Population double होने के बावजूद area भी बढ़ा है, इसलिए density exactly double नहीं होती। परीक्षा में multiplier method combined changes को solve करने के लिए बहुत उपयोगी है। / The new density multiplier is \(\frac{2}{1.25} = 1.6\). Therefore, the new density is \(220 \times 1.6 = 352\) persons per square kilometre. The third option is correct. Although population doubles, area also increases, so density does not exactly double. In examinations, the multiplier method is very useful for combined changes.

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Question 7/8 Medium Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 21

यदि population 40 प्रतिशत बढ़े और area 20 प्रतिशत घटे, तो density कितनी गुना होगी?

If population increases by 40 percent and area decreases by 20 percent, how many times will density become?

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Correct Answer

C. 1.75 गुना1.75 times

Explanation

Simple Explanation

New density \(\frac{1.4P}{0.8A} = 1.75\frac{P}{A}\) होती है। इसलिए density original की 1.75 times होगी और तीसरा विकल्प सही है। Population increase density को बढ़ाता है और area decrease भी density को उसी direction में बढ़ाता है। परीक्षा में combined proportional change को multiplier method से solve करना आसान रहता है। / The new density is \(\frac{1.4P}{0.8A} = 1.75\frac{P}{A}\). Therefore, density becomes 1.75 times the original value, making the third option correct. Population growth raises density, and a decrease in area also raises density in the same direction. In examinations, combined proportional changes are most easily solved using multipliers.

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Question 8/8 Medium Geography The World Population – Distribution, Density and Growth Population Density Class 12 Level 19

यदि population तीन गुना और area डेढ़ गुना हो जाए, तो density कितनी गुना होगी?

If population becomes three times and area becomes one and a half times, how many times will density become?

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Correct Answer

B. 2 गुना2 times

Explanation

Simple Explanation

New density \(\frac{3P}{1.5A} = 2\frac{P}{A}\) है। इसलिए density original की exactly double होगी और दूसरा विकल्प सही है। Population तीन गुना हुई लेकिन area भी 1.5 times बढ़ा, इसलिए density तीन गुना नहीं होती। परीक्षा में multiplier form से ratio simplify करना ऐसे questions के लिए सबसे आसान तरीका है। / The new density is \(\frac{3P}{1.5A} = 2\frac{P}{A}\). Therefore, density becomes exactly twice the original value, making the second option correct. Population triples, but area also increases by 1.5 times, so density does not triple. In examinations, expressing changes as multipliers and simplifying the ratio is the easiest method for such questions.

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density multiplier MCQ Questions for Class 12

Practice Questions

यदि किसी region की density 300 से बढ़कर 375 हो और area 20 प्रतिशत बढ़े, तो population में कितने प्रतिशत वृद्धि हुई?

Simple Explanation

Simple Explanation

Simple Explanation

यदि किसी region की population 30 प्रतिशत बढ़ती है और density केवल 10 प्रतिशत बढ़ती है, तो area में लगभग कितना परिवर्तन हुआ है?

Simple Explanation

Simple Explanation

एक region में density 220 व्यक्ति प्रति वर्ग किलोमीटर है। यदि population double हो और area 25 प्रतिशत बढ़े, तो new density कितनी होगी?

Simple Explanation

यदि population 40 प्रतिशत बढ़े और area 20 प्रतिशत घटे, तो density कितनी गुना होगी?

Simple Explanation

यदि population तीन गुना और area डेढ़ गुना हो जाए, तो density कितनी गुना होगी?

Simple Explanation

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density multiplier MCQ Questions for Class 12

Practice Questions

यदि किसी region की density 300 से बढ़कर 375 हो और area 20 प्रतिशत बढ़े, तो population में कितने प्रतिशत वृद्धि हुई?

Simple Explanation

Simple Explanation

Simple Explanation

यदि किसी region की population 30 प्रतिशत बढ़ती है और density केवल 10 प्रतिशत बढ़ती है, तो area में लगभग कितना परिवर्तन हुआ है?

Simple Explanation

Simple Explanation

एक region में density 220 व्यक्ति प्रति वर्ग किलोमीटर है। यदि population double हो और area 25 प्रतिशत बढ़े, तो new density कितनी होगी?

Simple Explanation

यदि population 40 प्रतिशत बढ़े और area 20 प्रतिशत घटे, तो density कितनी गुना होगी?

Simple Explanation

यदि population तीन गुना और area डेढ़ गुना हो जाए, तो density कितनी गुना होगी?

Simple Explanation

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