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Ratio and Proportion problems


  • 1. Divide Rs. 80 in the proportion of 3:6:7.

  • Options
  • A. Rs. 10, Rs. 35, Rs. 40
  • B. Rs. 15, Rs. 30, Rs. 35
  • C. Rs. 15, Rs. 35, Rs.30
  • D. Rs. 10, Rs. 40, Rs. 35
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  • 2. The ratio of speed of three racers is 3 : 4 : 6. What is the ratio of time taken by the three racers to cover the same distance?

  • Options
  • A. 3:4:6
  • B. 6:4:3
  • C. 4:3:2
  • D. 2:3:5
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  • 3. The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1 . The ratio of the radii of the spheres is

  • Options
  • A. 2:3
  • B. 1:3
  • C. 3:1
  • D. 3:2
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  • 4. The ratio of the monthly salaries of A and B is in the ratio 5 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs. 1,87,450.

  • Options
  • A. Rs. 66,240
  • B. Rs. 72,100
  • C. Rs. 62,200
  • D. Rs. 65,840
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  • 5. A company, at the time of inflation reduced the staff in the ratio 5 : 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company?

  • Options
  • A. 155000
  • B. 160000
  • C. 175000
  • D. 215000
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  • 6. The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

  • Options
  • A. Rs 605
  • B. Rs 121
  • C. Rs 330
  • D. Rs 242
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  • 7. In an MBA selection process, the ratio of selected to unselected was 11:2. If 40 less had applied and 20 less selected, the ratio of selected to unselected would have been 10:1. How many candidates had applied for the process?

  • Options
  • A. 220
  • B. 260
  • C. 300
  • D. 340
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  • 8. Find two numbers such that their mean proportion is 16 and third proportion is 1024.

  • Options
  • A. 4 and 32
  • B. 4 and 64
  • C. 8 and 64
  • D. 8 and 32
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  • 9. The third proportional of two numbers 9 and 15 is

  • Options
  • A. 21
  • B. 30
  • C. 25
  • D. 45
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  • 10. What is the fourth proportional to 72, 168 and 150?

  • Options
  • A. 450
  • B. 300
  • C. 350
  • D. 400
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