Data Interpretation - Basics Video 3 Pie Charts Venkatesan S IIMB Alumni

Problem Q) Pie chart-1 gives the 90 shares of the five cement companies-A, B, C, D and E in the total quantity of cement sold in our country. Pie Chart -2 givens the percentage shares of all the eleven states P through Z in the total quantity of cement sold iPietthartcduntry. Pie chart 2 12% 14% 9% 28% 9% 1096 23% 6% 4% 996 8 17% U8% 5% 18% 14% The market share of any company in a state is the total quantity of cement sold by the company in that state as a % of the total quantity of cement sold in that state

Questions 1) In any state, if no company had more than 50% market share, then in at least how many states did company A sell cement? (1) 4 (2) 5 (3) 6 (4) 3 2) If in all the states in which company E was present, it had a market share of at least 25%, in at most how many states did company E sell cement? (1) 9 (2) 8 (3) 7 (4) 6 3) The number of companies which had sales in more than two states, is at least

Approach 1) In any state, if no company had more than 50% market share, then in at least how many states did company A sell cement? (1) 4 (2) 5 (3) 6 (4) 3 Pie chart 2 Pie chart-1 Maximize the Share of A in 12% each state. Total Share of A is 28% Sta ShareCumulati te 13% 1496 28% 9% of Ave Share 10% 23% 6% 13.5 19.5 24.5 >28 Z 6.5 A% 17% 8% U 6% 18% 14% Y 4.5

Questions 2) If in all the states in which company E was present, it had a market share of at least 25%, in at most how many states did compan inimize the Share of E in each state. (1) 9 (2) 8 (3) 7 (4) 6 Total Share of A is 14% Sta Share Cumulati te of E ve Share Pie chart 1 Pie chart 2 12% 14% 13% 1.5 2.5 28% X 1.5 9% 10% 23% 8.25 6% W 2.25 Y 2.25 10.5 Q 3.5 14 17% 8% U 6% 18% 14%

Questions 3) The number of companies which had sales in more than two states, is at least Compa ShareNumber of ny Pie chart 2 Pie chart 1 states possible 12% 13% 14% 14 23 18 17 28 28% 9% 10% Q+ T Y W X 23% 6% 17% 8% U 6% 18% 14%

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Venkatesan S

IIM Bangalore Alumni | Cleared CAT 2015 | Cleared IIM B, C, L, K & I

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