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Study the given circle graph and answer the question that follows.The circle graph shows the production of rice by seven different States – U.P, A.P,
Question

Study the given circle graph and answer the question that follows.

The circle graph shows the production of rice by seven different States – U.P, A.P, Bihar, Kashmir, Kerala, Odisha and Haryana – during a particular year.

If the total production of rice by all the given states during the year was 18 thousand tonnes, what was the ratio of the production of rice by Odisha to the production of rice by Kashmir?

A.

21 : 29

B.

7 : 9

C.

3 : 7

D.

7 : 8

Correct option is B

Given:
The circle graph shows the production of rice by seven states: U.P., A.P., Bihar, Kashmir, Kerala, Odisha, and Haryana.
The central angles for each state are:
Haryana: 39°
Kerala: 48°
Odisha: 42°
Kashmir: 54°
U.P.: 64°
A.P.: 55°
Bihar: 58°
Total production of rice by all states: 18 thousand tonnes.
Solution:
Odisha:
Production=(42°360°)×18 thousand tonnes=42360×18=756360=2.1 thousand tonnes\text{Production} = \left(\frac{42°}{360°}\right) \times 18 \text{ thousand tonnes} = \frac{42}{360} \times 18 = \frac{756}{360} = 2.1 \text{ thousand tonnes}
Kashmir:
Production =(54°360°)×18 thousand tonnes=54360×18=972360=2.7 thousand tonnes \left(\frac{54°}{360°}\right) \times 18 \text{ thousand tonnes} = \frac{54}{360} \times 18 = \frac{972}{360} = 2.7 \text{ thousand tonnes}

Ratio = 2.12.7=2127=79\frac{2.1}{2.7} = \frac{21}{27} = \frac{7}{9}

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