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A, B, and C each have different rates of completing a task; A can finish it in 36 days, B in 60 days, and C in 30 days. Initially, they begin the work collaboratively, but C departs after 5 days. Furthermore, A exits the job 18 days before the final completion. How long does it take to complete the entire task?
A. 29 days
B. 35 days
C. 31 days
D. 32 days
E. None of these

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Currently, the ages of Rahul and Ritesh are in a ratio of 7:3. If we look back three years, the ages of Ritesh and Ramesh had a ratio of 1:3. Knowing that Rahul is 6 years younger than Ramesh, can you determine the current average age of Rahul, Ritesh, and Ramesh?
A. 32 years
B. 34 years
C. 36 years
D. 38 years
E. None of these

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Roshan and Rahul received marks in their quarterly exam in a ratio of 9:8. Additionally, the ratio of marks Roshan obtained in the quarterly exam to the marks he obtained in the half-yearly exam is 2:3. For Rahul, this ratio between the quarterly and half-yearly exams is 4:5. If the combined total of marks Roshan and Rahul earned in the half-yearly exam is 1410, determine the number of marks Rahul secured in the half-yearly exam.
A. 720
B. 520
C. 640
D. 560
E. 600
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A and B launched a business with initial investments of Rs. 2000 and Rs. 3600, respectively. Three months into the venture, C came on board with an investment that was 25% higher than A's initial investment. Six months after the start, both A and B increased their stakes by injecting extra funds of Rs. 500 and Rs. 400, respectively. If the total profit at the end of the year amounted to Rs. 15850, calculate B's share of the profit.
A. Rs. 6500
B. Rs. 7600
C. Rs. 8400
D. Rs. 9000
E. Rs. 9500

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In an examination, five students—A, B, C, D, and E—participated. The overall average score for these students was 58. Specifically, students A, C, and D together had an average score of 55. Moreover, student E scored 33 marks higher than student B. Calculate the marks obtained by student B.
A. 38
B. 40
C. 52
D. 46
E. None of these
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Pipe 'A' can fill a tank on its own in 14 minutes. When pipes 'A' and 'B' are both opened at the same time, the tank is filled in 18 minutes. Determine how long it would take for pipe 'B' alone to drain half of the tank's capacity.
A. 31.5 minutes
B. 25 minutes
C. 35 minutes
D. 27.5 minutes
E. None of these

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A and B are capable of completing a project individually in 40 days and 50 days, respectively. Initially, A and B collaborated on the project, and after 10 days, C joined them. With C's assistance, the total project was completed in 20 days. How long would it take for C to complete the project on their own?
A. 80 days
B. 100 days
C. 75 days
D. 90 days
E. 120 days

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The average of three distinct numbers is 124. The average of the smallest and the largest of these numbers is also 124, with the smallest number being 24 less than the largest. Determine the values of these three numbers.
A. 136, 148, 160
B. 124, 136, 148
C. 112, 124, 136
D. 100, 112, 124
E. 98, 110, 132

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Anjum bought 1 litre of milk at Rs. 50 per litre, 500 grams of sugar for Rs. 30 per kg, and 200 grams of coffee for Rs. 125 per kg. From these ingredients, he can prepare 3 cups of coffee. If Anjum aims to make a 20% profit on his total costs, what should be the selling price of one cup of coffee?
A. Rs. 48
B. Rs. 40
C. Rs. 32
D. Rs. 36
E. None of these

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In a company-wide survey, it was discovered that 20% of the employees own a car. Among the remaining employees, 30% have either an Activa or a bike. The rest, totaling 336 employees, do not own any vehicle. Determine the total number of employees in the company.
A. 720
B. 480
C. 540
D. 600
E. None of these

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A completes 37.5% of a task in 9 days, B finishes 44.44% of the same task in 8 days, and C accomplishes 66.67% in 8 days. How many days will it take for A, B, and C to jointly complete 65% of the task?
A. 3.6 days
B. 4.8 days
C. 6 days
D. 3 days
E. None of these

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Consider that 'A' and 'B' were collectively paid Rs. 9,000 for a job. Out of this amount, 'B' received Rs. 3,000. If 'B' can finish this task solo in 48 days, determine the duration it would take for 'A' to complete the work independently.
A. 96 days
B. 72 days
C. 24 days
D. 20 days
E. 16 days

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