Clat2024- Quantitative Techniques

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<h5 id="quantitative-techniques">Quantitative Techniques</h5>
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<p>XIX. Automobiles are the most preferred mode of transport because they allow us to cover large distance quickly. Resultantly, vehicles have been developed that run on diesel, petrol and even on electricity, which is a remarkable innovative development. During a survey about the percentage wise distribution of cars in four different states, the information regarding ratio between the diesel engine cars, petrol engine cars and electric cars was collected. Total number of cars for which data was collected was 8000 . Of these, State 1 had $15 %$ of the total cars in the ratio of 3:4:1 (diesel, petrol and electric); State 2 had $20 %$ of the total cars in the ratio of 5:3:2 (diesel, petrol and electric); State 3 had $30 %$ of the total cars in the ratio of 4:5:3 (diesel, petrol and electric), and; State 4 had $35 %$ of the total cars in the ratio of 7:5:2 (diesel, petrol and electric).</p>
<p>Based on the above information, answer the following questions.</p>
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<li>If $45 %$ of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?</li>
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<p>(A) 380</p>
<p>(B) 240</p>
<p>(C) 220</p>
<p>(D) 180</p>
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<li>Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?</li>
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<p>(A) 4.67 %</p>
<p>(B) 9.23 %</p>
<p>(C) 3.33 %</p>
<p>(D) 6.67 %</p>
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<li>What is the ratio of diesel cars in State 4 to electric cars in State 3?</li>
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<p>(A) 7: 3</p>
<p>(B) 3: 7</p>
<p>(C) 7: 4</p>
<p>(D) 4: 7</p>
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<li>Compute the percentage of total electric cars to total cars in all the States.</li>
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<p>(A) 19.37 %</p>
<p>(B) 18.37 %</p>
<p>(C) 18.73 %</p>
<p>(D) 19.57 %</p>
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<li>What is the difference between number of petrol cars in State 3 and diesel cars in State 1 ?</li>
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<p>(A) 350</p>
<p>(B) 400</p>
<p>(C) 500</p>
<p>(D) 550</p>
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<li>What is the average number of diesel cars in all the States?</li>
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<p>(A) 810</p>
<p>(B) 862.5</p>
<p>(C) 886</p>
<p>(D) 912.5</p>
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<p>XX. A survey was conducted about the population of a particular region having working population of three lacs and information was collected about self-employed persons, casual wage workers, regular salaries employees of both urban and rural areas of the region. Self-employment is a key source of income in both rural and urban areas but it is more prevalent in rural areas ( $56 %$ of the rural population) than in urban areas ( $40 %$ of the urban population). Rural population was $48 %$ of the total population. Regular salaried workers in urban areas were $48 %$ of the urban population whereas in rural areas, regular salaried workers constituted $12 %$ of the rural population. During the survey, the casual wage workers were found to be more common in rural areas than in urban areas. Casual wage workers in rural areas were $32 %$ of the rural population whereas it was $12 %$ of the urban population in urban areas.</p>
<p>Based on the above information, answer the following questions.</p>
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<li>By what percentage the number of self-employed workers in rural areas is more than the number of self-employed workers in urban areas?</li>
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<p>(A) 29.23</p>
<p>(B) 33.24</p>
<p>(C) 35.01</p>
<p>(D) 34.32</p>
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<li>What is the ratio of urban and rural working population?</li>
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<p>(A) 12: 13</p>
<p>(B) 11: 12</p>
<p>(C) 13: 12</p>
<p>(D) 03:08</p>
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<li>If urban population of the region increased from $52 %$ to $56 %$ and percentage of self employed in urban region remains same, then number of self-employed people in urban areas are:</li>
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<p>(A) 66840</p>
<p>(B) 68640</p>
<p>(C) 62700</p>
<p>(D) 67200</p>
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<li>What is the total number of regular salaried employees of the region?</li>
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<p>(A) 90216</p>
<p>(B) 91260</p>
<p>(C) 92160</p>
<p>(D) 96210</p>
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<li>What is the percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?</li>
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<p>(A) 72.3 %</p>
<p>(B) 79.8 %</p>
<p>(C) 88.7 %</p>
<p>(D) 92.3 %</p>
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<li>If $60 %$ of the total working population of the region were self-employed in rural areas and $40 %$ of total population were self-employed in urban areas, then what is the ratio of rural self-employed to urban self-employed?</li>
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<p>(A) 2: 3</p>
<p>(B) 3: 2</p>
<p>(C) 13: 18</p>
<p>(D) 18: 13</p>