Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines | 6 | : | 10 | ![]() | :: 270 : x |
Time (in minutes) | 1 | : | 4 |
6 x 1 x x = 10 x 4 x 270
![]() | (10 x 4 x 270) |
(6) |
x = 1800.
The smallest 3-digit number is 100, which is divisible by 2.
100 is not a prime number.
√101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.
101 is a prime number.
Hence 101 is the smallest 3-digit prime number.