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Global Exports Pie Chart Analysis

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Data Interpretation

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Passage / data set

Study the pie chart and answer the questions that follow:

TOTAL GLOBAL EXPORTS: $144, 000 BILLION Angles subtended:

  • USA: 54∘54^\circ
  • Japan: 45∘45^\circ
  • Germany: 41.4∘41.4^\circ
  • France: 27∘27^\circ
  • China: 19.8∘19.8^\circ
  • India: 16.2∘16.2^\circ
  • Australia: 18∘18^\circ
  • Hong Kong: 19.8∘19.8^\circ
  • Others: 104.4∘104.4^\circ

Note: The value of exports represents the angle corresponding to each country in the pie chart.$

TOTAL GLOBAL EXPORTS: $144, 000 BILLION

Question 1 of 4

The ratio of the value of exports between the total exports of USA and Japan to the total exports of Australia and France is

  1. A.

    5:9

  2. B.

    9:5

  3. C.

    11:5

  4. D.

    5:11

Answer

C

Explanation

Angle for USA + Japan = 54+45=99∘54 + 45 = 99^\circ. Angle for Australia + France = 18+27=45∘18 + 27 = 45^\circ. Ratio = 99:45=11:599 : 45 = 11 : 5.

Question 2 of 4

What is number of countries whose exports are more than the average exports per country? (Assume 'Others' as a single country)

  1. A.

    4

  2. B.

    5

  3. C.

    6

  4. D.

    7

Answer

B

Explanation

Total countries/entities = 10. Average angle per country = 360/10=36∘360 / 10 = 36^\circ. Countries with angle >36∘> 36^\circ: USA (54), Japan (45), Germany (41.4), Others (104.4)... wait, let's count: USA, Japan, Germany, Others, and wait - total 10 entities. Angles: USA(54), Japan(45), Germany(41.4), France(27), China(19.8), India(16.2), Russia(14.4), Australia(18), Hong Kong(19.8), Others(104.4). Those >36∘> 36^\circ are 5 entities.

Question 3 of 4

By how much does the value of the exports of Japan exceed that of Australia?

  1. A.

    10800billion 10800 billion

  2. B.

    21600billion 21600 billion

  3. C.

    38880billion 38880 billion

  4. D.

    49680billion 49680 billion

Answer

A

Explanation

Difference in angles = 45−18=27∘45 - 18 = 27^\circ. Value = \frac{27}{360} \times 144000 = \ 10,800$ billion.

Question 4 of 4

What is value of total exports of USA and France as a percentage of the total exports of Japan, China, Russia and Hongkong?

  1. A.

    64.9764

  2. B.

    65.5764

  3. C.

    66.1574

  4. D.

    66.1764

Answer

D

Explanation

USA + France angle = 54+27=81∘54 + 27 = 81^\circ. Japan + China + Russia + Hong Kong angle = 45+19.8+14.4+19.8=122.4∘45 + 19.8 + 14.4 + 19.8 = 122.4^\circ. Percentage = 81122.4×100=66.1764%\frac{81}{122.4} \times 100 = 66.1764\%.

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