Directions for question: Answer the questions on the basis of the information give below.

In an ancient game of trading “Pirate Bay”, 6 players took part. The game is played in a manner that the players select a port each and then they trade with each other. Everything that they sent out to other player is known as exports and anything that they receive from other players is known as imports. The table below shows details of imports and exports of between those six players. The entry corresponding to a particular row i and column j gives the total amount of exports by a player i to a player j in all the previous trade rounds. For example the entry in row 2 column 4 means P2 has exported to P4 a total of 58 times.  Total number of times trade happens between two players will be = total exports of i + total exports of j = total imports of i + total imports of j.

 

 

P1

P2

P3

P4

P5

P6

P1

×

50

40

44

57

68

P2

35

×

35

58

43

59

P3

17

9

×

15

7

24

P4

70

32

28

×

68

35

P5

98

64

53

45

×

52

P6

35

25

57

62

35

×

If we draw a pie chart of total trade of P3, then what will be the angle made by the trade between P3 and P2?

Option 1 -

11.8°                               &

...more

Option 2 -

15.5°

Option 3 -

17.3°  

Option 4 -

Cannot be determined

0 1 View | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    We need to find the total trade by P3 Total trade by P3 = total exports by P3 + total imports by P3. To find the total exports we will see the row of P3, those will be the total exports. While the imports will be the exports of others to P3, so if we see all the values of row of P3 then that will total up to his imports.

    Total trade by P3 = (total exports) + (total imports)

    = (17 + 9 + 15 + 7 + 24) + (40 + 35 + 28 + 53 + 57)

    = 285

    Now to find the total trade between P3 and P2 we will add the exports of P3 to P2 and exports of P2 to P3 (imports of P3 from P2). The value comes out to be = 9 + 35 = 44

    As we know in a pie total angle is 360 de

    ...more

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