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Question 1 / 13
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1
A graph shows the percentage distribution of population in 6 cities and a table provides the ratio of literate to illiterate in these cities. What is the ratio of illiterate people in one city to literate people in another?
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Solution: Step 1: Calculate the number of illiterate people in city F Step 2: Calculate the number of literate people in city B Step 3: Find the ratio of illiterate in F to literate in B Step 4: Simplify the ratio to its simplest form
2
In which year were the imports of a company at their minimum proportion compared to its exports, based on a line graph depicting import-export ratios from 1995 to 2001?
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Solution: Step 1: The imports are minimum proportionate to exports when the ratio of imports to exports is the lowest. Step 2: From the graph, identify the year with the lowest ratio. Step 3: The ratio has a minimum value of 0.35 in 1997. Step 4: Therefore, the imports were minimum proportionate to exports in 1997.
3
A pie chart represents the cost breakdown for building a house. If labor costs 90 degrees and supervision costs 54 degrees out of 360 degrees, with a total construction cost of Rs.60000, what is the difference in amount spent on labor and supervision?
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Solution: Step 1: Calculate the total degrees for labor and supervision. Labor = 90 degrees, Supervision = 54 degrees. Step 2: Find the difference in degrees. Difference = 90 - 54 = 36 degrees. Step 3: Convert the degree difference into cost. Total cost = Rs.60000, Total degrees = 360. Cost per degree = 60000 / 360. Step 4: Calculate the cost difference. Cost difference = 36 * (60000 / 360) = 36 * 166.67 = Rs.6000.
4
A graph shows the percentage distribution of population in 6 cities, and a table provides the ratio of literate to illiterate people in these cities. What is the ratio of literate people in one city to illiterate people in another?
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Solution: Step 1: Determine the population of each city using the percentage distribution graph. Step 2: Use the table to find the ratio of literate to illiterate people in city B and city C. Step 3: Calculate the number of literate people in city B: Population of city B * (literate ratio / (literate ratio + illiterate ratio)). Step 4: Calculate the number of illiterate people in city C: Population of city C * (illiterate ratio / (literate ratio + illiterate ratio)). Step 5: Find the ratio of literate people in city B to illiterate people in city C. Step 6: Given that city B's population percentage is 20%, and city C's is 16%, and using the provided ratios, the calculations yield equal numbers of literate and illiterate people, resulting in a 1:1 ratio.
5
A graph illustrates the percentage distribution of population across 6 cities, and a table provides the ratio of literate to illiterate individuals in these cities. What percentage of literate individuals exists in all cities except for city D and city E compared to the total population?
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Solution: Step 1: Calculate the population of each city using the given percentages. Step 2: Use the ratios to find the number of literate people in cities A, B, C, and F. Step 3: Sum the literate populations of these cities. Step 4: Calculate the total population of all cities except D and E. Step 5: Compute the percentage of literate people in these cities. Step 6: The calculation yields 31%.
6
Given a graph and table about population distribution and literacy ratios in 6 cities, find the difference in the number of literate people between two cities.
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Solution: Step 1: Calculate the population of city E and city A using the percentage distribution graph. Step 2: Find the number of literate people in city E: Population of city E * (literate ratio / (literate ratio + illiterate ratio)). Step 3: Find the number of literate people in city A: Population of city A * (literate ratio / (literate ratio + illiterate ratio)). Step 4: Compute the difference between the number of literate people in city E and city A. Step 5: Given city E's population percentage is 26%, city A's is 14%, and the provided ratios, the difference in literate populations is 12900.
7
Given a pie chart showing the cost breakdown of a house construction with a total cost of Rs.60000, what is the amount spent on cement if it corresponds to 72 degrees out of 360?
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Solution: Step 1: Calculate the cost per degree. Total cost = Rs.60000, Total degrees = 360. Cost per degree = 60000 / 360 = 166.67. Step 2: Find the cost of cement. Cement cost = 72 * 166.67 = Rs.12000.
8
If a company's imports in 1996 were Rs. 272 crores, and the ratio of imports to exports in 1996 is given, what were the exports in 1996?
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Solution: Step 1: Understand the given ratio of imports to exports in 1996 is 0.85. Step 2: Let's denote the exports in 1996 as x. Step 3: The ratio of imports to exports = imports / exports = 0.85. Step 4: Given imports = Rs. 272 crores, we have 272 / x = 0.85. Step 5: Solve for x: x = 272 / 0.85 = 320. Step 6: Therefore, the exports in 1996 were Rs. 320 crores.
9
A table provides details on five-star hotel projects completed by various companies. What percentage of the total investment in projects across three years is allocated to projects completed in 1998?
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Solution: Step 1: Calculate the total investment across all three years. Total investment = 2125 cr Step 2: Calculate the total investment in projects completed in 1998. Investment in 1998 = 1105 cr Step 3: Calculate the percentage of investment in 1998 relative to the total investment. Percentage = (1105 / 2125) * 100 = 52%
10
A line graph represents the ratio of imports to exports of a company from 1995 to 2001. What is the percentage increase in imports from 1997 to 1998?
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Solution: Step 1: Understand that the graph provides ratios of imports to exports. Step 2: Recognize that calculating percentage increase in imports requires actual values or a direct relationship. Step 3: Since only ratios are given, without specific import or export values, we cannot calculate the percentage increase. Step 4: Conclude that the data provided is inadequate for the calculation. Step 5: Therefore, the correct answer is 'Data inadequate'.
11
A company's imports and exports are compared over several years using a line graph showing their ratios. Given that in 1998, imports were Rs. 250 crores, and the total exports for 1998 and 1999 combined were Rs. 500 crores, determine the imports for 1999.
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Solution: Step 1: Understand the given ratios of imports to exports for 1998 and 1999 are 1.25 and 1.40 respectively. Step 2: Let the exports in 1998 = Rs.x crores. Step 3: Then, exports in 1999 = Rs.(500-x) crores. Step 4: From 1998 ratio: 1.25 = 250/x, which implies x = 250/1.25 = 200. Step 5: Thus, exports in 1999 = Rs.(500-200) = Rs.300 crores. Step 6: Let imports in 1999 = Rs.y crores. Step 7: Using 1999 ratio: 1.40 = y/300, which implies y = 300*1.40 = 420. Step 8: Therefore, imports in 1999 = Rs.420 crores.
12
Given a graph and table with population distribution and literacy ratios for 6 cities, what is the average number of literate people per city?
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Solution: Step 1: Calculate the number of literate people in each city using the given ratios and population distribution. Step 2: Sum the literate populations of all cities. Step 3: Divide the total literate population by the number of cities to find the average. Step 4: The calculation yields 54377 literate people per city.
13
A table provides information on five-star hotel projects. What is the approximate average number of rooms constructed per crore of rupees over a three-year period?
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Solution: Step 1: Calculate the total number of rooms built over the three years. Total rooms = 600 + 320 + 250 + 400 + 520 + 450 + 500 = 3040 Step 2: Calculate the total investment over the three years. Total investment = 275 + 210 + 250 + 430 + 310 + 400 + 250 = 2125 cr Step 3: Calculate the average number of rooms per crore of rupees. Average = 3040 / 2125 = 1.4
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