Lets say there are 10 students in the class. (A B C D E F G H I J)

60% of these students travel by Public Transportation. i.e. 6 students.

30% of students aspire to be scientists i.e. 3 students.

Extreme Case I (No overlap)

A B C D E F travel by Public Transportation. G H I aspire to be scientists. Remaining 1 out of 10 i.e. 10% .

The percentage of students who do not travel by Public Transportation and who do not aspire to be scientists will be not less than 10%.

Extreme Case II (Complete overlap)

The three students who aspire to be scientists fall in the list of students who travel by Public Transportation

i.e. lets say A B C D E F travel by Public Transportation and A B C aspire to be scientists. So remaining will be 4 out of 10. i.e. 40 %

The percentage of students who do not travel by Public Transportation and who do not aspire to be scientists will be not be greater than 40%.

So the % of students who do not travel by Public Transportation and who do not aspire to be scientists will be between 10% -40 %

And there is only one answer in the choices. 30%

Answer

BAmbarish

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Thank you

Ambarish