Question : The line chart given below shows the production of bikes and trucks by five companies L, M, N, O, and P. Which of the following statements is correct? I. The ratio of the production of bikes to the production of trucks by company M is 7 : 4. II. The difference between the average production of bikes and trucks by all companies is 10.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
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Correct Answer: Both I and II
Solution : Production of the bike by company M = 350 Production of the truck by company M = 200 I. The ratio of the production of bikes to the production of trucks by company M is 7 : 4. Statement I is correct. The average production of bike by all companies = $\frac{(600 + 350 + 400 + 150 + 200)}{5}$ = $\frac{1700}{5}$ = 340 The average production of btruck by all companies = $\frac{(400 + 200 + 100 +500 +550)}{5}$ = $\frac{1750}{5}$ = 350 Difference = 350 – 340 = 10 II. The difference between the average production of bikes and trucks by all companies is 10. Statement II is correct. Hence, the correct answer is Both I and II.
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