Q:

A) 18 litres | B) 24 litres |

C) 32 litres | D) 42 litres |

Answer: B) 24 litres

Explanation:

Explanation:

Let the quantity of the wine in the cask originally be x litres

Then, quantity of wine left in cask after 4 operations =$\left[x{\left(1-\frac{8}{x}\right)}^{4}\right]$litres

$\therefore \left[\frac{x{\left(1-{\displaystyle \frac{8}{x}}\right)}^{4}}{x}\right]=\frac{16}{81}$

$\Rightarrow {\left[1-\frac{8}{x}\right]}^{4}={\left(\frac{2}{3}\right)}^{4}$

$\Rightarrow x=24$

0
33

1
139

Q:

A) 15 : 8 | B) 14 : 9 |

C) 7 : 8 | D) 3 : 2 |

1
448

Q:

A) 1 : 2 | B) 2 : 5 |

C) 3 : 7 | D) 4 : 9 |

2
266

2
356

4
336

6
502

4
451