Correct Option (3)
To determine the ratio between the minimum and maximum number of males possessing a driver's license, we first establish the total number of individuals and licenses:
- Total applicants: 120
- Number of males: 70
- Number of females: 120 - 70 = 50
- Total individuals with a driver's license: 80
Calculating the minimum number of males with a driver's license:
To minimize the number of males with licenses, the maximum possible number of females are assumed to possess licenses. Given 50 females and 80 total licenses, all 50 females can be considered licensed. The remaining licenses are then attributed to males.
Minimum males with license = Total licenses - Number of females with licenses = 80 - 50 = 30.
Calculating the maximum number of males with a driver's license:
To maximize the number of males with licenses, the maximum possible number of males are assumed to possess licenses. There are 70 males in total. Since the total number of available licenses (80) is greater than the total number of males (70), all 70 males can potentially hold a license.
Maximum males with license = Total number of males = 70.
Determining the ratio:
The required ratio of the minimum to maximum number of males having a driver's license is:
Minimum : Maximum = 30 : 70 = 3 : 7.
Incorrect Options:
Options 1 (1 to 2), 2 (2 to 3), and 4 (5 to 7) are incorrect as they do not correspond to the calculated ratio of 3:7, which represents the minimum to maximum possible numbers of males holding a driver's license under the specified conditions.