If HCF of two numbers is 8,which of the following can never be their LCM?

Statement: A large number of students who have passed their XII Std. terminal examination in the country could not get admission to colleges as the number of seats available are grossly inadequate.
Courses of action:
a. The evaluation system of XII Std. terminal examination should be made more tough so that fewer students pass the examination.
b. The Government should encourage the private sector to open new colleges by providing them land at cheaper rate.
c. The rich people should be asked to send their wards to foreign countries for higher studies enabling the needy students to get admission in colleges within the country.

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

Statement: Ministry of Tourism in its one of the reports revealed that due to recent social disturbance in the country, the number of foreign tourists has decreased considerably, which resulted in a financial loss of Rs 100 crore.
Courses of action:
a. The Government should provide financial support to the tourism sector.
b. Foreign tourists should be informed that they visit the country at their risk.

Statement: People in Pratapgarh are not paying their telephone bills in spite of the various verbal warnings and remainders. It has now informed the subscribers through a notification that those who do not pay their bills by the due date will be charged penalty for every defaulting day.
Course of action:
a. Majority of people may pay their bills by the due date to avoid penalty.
b. People generally pay heed to such statutory notifications.

Statement: The air and rail services have been severely disrupted due to thick fog in the northern part of the country.
Courses of action:
a. The rail and air services should be temporarily suspended in the region.
b. People should be advised to make their travel plan keeping in mind the probable disruption resulting in delay or cancellation of services.
c. The government should immediately install modern machines which will enable itto guide the rail and air services even if the thick fog develops.