Question : Directions: The line chart given below shows the ratio of production to sales of two bike manufacturing firms over 6 years.
Assume that if sales in any year are greater than production, then both companies have sufficient stock to meet such instances.
If the sales of Company 1 in 2015 were 50,000 units, then what was its production (in units) in 2015?
Option 1: 38,460
Option 2: 45,000
Option 3: 52,000
Option 4: 65,000
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Correct Answer: 65,000
Solution : Let $p$ denote the production for Company 1 in the year 2015. The sales of Company 1 in the year 2015 = 50,000 units The ratio of the production to the sales = $\frac{p}{50000}$ = 1.3 The production of Company 1 in the year 2015 = 1.3 × 50000 = 65,000 units Hence, the correct answer is 65,000.
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The production of Company 2 in 2012 was 30,000. If sales of company 2 in 2012 and 2013 were the same, then what was its production (in units) in 2013?
Option 1: 1,00,000
Option 2: 16,000
Option 3: 30,000
Option 4: 20,000
Question : Directions: The line chart given below shows the ratio of production to sales of two bike manufacturing firms over 6 years
Company 1 sold 20,000 bikes each year from 2011 to 2016, and Company 2 sold 10,000 bikes each year from 2011 to 2016. What is the difference (in units) in the average yearly production of companies 1 and 2?
Option 1: 6,733.33
Option 2: 7,500
Option 3: 8,666.6
Option 4: 9,333.33
The production of Company 1 in 2014 was 18,000, and the sales of Company 2 in 2012 were 15,000. What is the ratio of the difference in sales and production between Company 1 in 2014 and Company 2 in 2012?
Option 1: 8 : 15
Option 2: 7 : 16
Option 3: 9 : 11
Option 4: 3 : 8
Question : The midpoints of sides AB and AC of the triangle ABC are, respectively, X and Y. If (BC + XY) = 12 units, then the value of (BC – XY) is:
Option 1: 2 units
Option 2: 6 units
Option 3: 8 units
Option 4: 4 units
Question : What is the radius of the circle that circumscribes the triangle ABC whose sides are 16, 30, and 34 units respectively?
Option 1: 16 Units
Option 2: 17 Units
Option 3: 28 Units
Option 4: 34 Units
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