Multiple choice

$In each of the following questions given below there are two blanks, each blank indicates that something has been omitted. Choose the answer in order. 45 liter of a mixture from a cane containing petrol and kerosene in the ratio __________ is removed and replaced by 45 liter of kerosene. Again 45 liters of the mixture thus formed is removed and 45 liters of kerosene is added. This process is repeated once again, the ________________ is the volume of the petrol in the solution thus formed, if it is known that the initial volume of the mixture in the tank is 180 liters.

  1. 3:4, 35

  2. 4:5, 60

  3. 4:5, 33.75
  4. 2:7, 50$

  5. Only A

  6. Only B

  7. Any Two

  8. Any Three

  9. None of these
Reveal answer Fill a bubble to check yourself
I Correct answer
Explanation

Testing all options: For 3:4 initial ratio with 180L total (77.14L petrol), after three 45L replacements with kerosene, final petrol = 77.14 × (1 - 45/180)^3 = 77.14 × (3/4)^3 = 77.14 × 27/64 = 32.56L, not matching any option. For 4:5 ratio (80L petrol), final petrol = 80 × (3/4)^3 = 33.75L, which matches option C's second value. However, the 'Only B' option format is incorrect as C also works.

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