If total number of cuts is 20 then find the ratio of maximum

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If total number of cuts is 20 then find the ratio of maximum and minimum of pieces that can be obtained.

1. 448:63
2. 446:21
3. 122:21
4. None of these

Correct Option: B

For maximum number of pieces cuts has to be 6, 7 and 7 and maximum number of pieces is (6 + 1)(7 + 1)(7 + 1) = 7 x 8 x 8 = 448.
Minimum number of pieces is 20 + 1 = 21.
Hence required ratio is 448:21