Multiple choice

Directions: Following table shows the number of visitors who visited the museum in different weeks from different states (Goa, Haryana, Punjab, Sikkim, UP, Assam) Weeks/States UP Goa Haryana Punjab Assam Sikkim Week1 123 65 105 152 78 56 Week2 89 71 92 100 113 80 Week3 150 90 53 89 89 120 Week4 72 75 82 91 65 98 Week5 69 56 81 142 102 80 Week6 103 81 70 110 90 70 If out of the total visitors who visited the museum on week 5, 40% of them are males, then what is the ratio of number of females who visited the museum on week 5 and the total number of people who visited museum over the given weeks from Sikkim?

  1. 60 : 89

  2. 53 : 84

  3. 46 : 17

  4. 32 : 45

  5. 21 : 19
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B Correct answer
Explanation

Week 5 visitors: UP(69), Goa(56), Haryana(81), Punjab(142), Assam(102), Sikkim(80). Total = 530. Females = 60% of 530 = 318. Total Sikkim visitors = 56+80+120+98+80+70 = 504. Ratio = 318 : 504 = 159 : 252 = 53 : 84.

AI explanation

Sum the visitors for week 5 across all states to get a total of 530 visitors (69 + 56 + 81 + 142 + 102 + 80). Since 40% are males, females constitute 60% of the visitors, meaning there are 530 * 0.6 = 318 females. The total visitors from Sikkim across all six weeks is 504 (56 + 80 + 120 + 98 + 80 + 70). The ratio of females in week 5 to total Sikkim visitors is 318 : 504, which simplifies to 53 : 84. The result is 53 : 84.

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