Question : Study the given graph and answer the question that follows. The average production of cement by company B in 2015, 2016, and 2018 is what percentage less than the average production of cement by company C in 2015 and 2017 ?
Option 1: $7 \frac{3}{7} \%$
Option 2: $7 \frac{1}{7} \%$
Option 3: $5 \frac{1}{3} \%$
Option 4: $6 \frac{2}{3} \%$
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Correct Answer: $6 \frac{2}{3} \%$
Solution : Production of cement by company B in 2015, 2016 and 2018 = 150 + 180 + 300 = 630 Average = $\frac{630}{3}=210$ Production of cement by company C in 2015 and 2017 = 200 + 250 = 450 Average = $\frac{450}{2}=225$ Difference = 225 – 210 = 15 Required percentage = $\frac{\text{Difference}}{\text{Average production of C}}\times 100$ = $\frac{15}{225}\times 100$ = $6 \frac{2}{3}$ Hence, the correct answer is $6 \frac{2}{3} \%$.
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Question : Study the given graph and answer the question that follows.
The ratio of the total production of cement by Company A in 2016 and Company C in 2018 to the total production of cement by Company B in 2017 and 2019 is:
Option 1: 9 : 8
Option 2: 7 : 6
Option 3: 8 : 7
Option 4: 10 : 9
Question : Study the given graph and answer the question that follows. The total production of computers in 2013, 2015, and 2018 is x% of the total exports of computers by the company during the six years. The value of x is:
Option 1: $46 \frac{1}{3}$
Option 2: $52 \frac{1}{3}$
Option 3: $53 \frac{1}{3}$
Option 4: $49 \frac{2}{3}$
Question : Study the given graph and answer the question that follows. In 2020, the production of cement by company C increased by the same percentage as in 2019, over its previous year. The production (in million tonnes) of cement by company C in 2020 (correct to one decimal place) was:
Option 1: 454.6
Option 2: 455.8
Option 3: 457.1
Option 4: 452.4
Question : Simplify the following. $\frac{3 a+b}{2}-\frac{a-3 b}{3}+2b$
Option 1: $\frac{5(a+3b)}{6}$
Option 2: $\frac{7a+3b}{6}$
Option 3: $\frac{7(a+3b)}{6}$
Option 4: $\frac{a+3b}{6}$
Question : The HCF of $\frac{1}{2}, \frac{3}{4}, \frac{5}{6},$ and $\frac{7}{8}$ is:
Option 1: $\frac{105}{2}$
Option 2: $\frac{1}{24}$
Option 3: $\frac{7}{24}$
Option 4: $\frac{1}{48}$
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