The letters decrease by 1; the numbers are multiplied by 2.
2. Three pencils cost the same as two erasers. Four erasers cost the same as one ruler. Pencils are more expensive than rulers. If the first two statements are true, the third statement is
Since both the premises are universal and one premise is negative, the conclusion must be universal negative and should not contain the middle term. So, only II follows.
6. Statement: No regular funds have been provided for welfare activities in this year's budget of the factory.
Assumptions:
The factory does not desire to carry out welfare this year.
Budgetary provision is necessary for carrying put welfare activities.
The non-provision of funds for welfare activities in the budget clearly indicates the factory's intention to not carry out such activities in the current year. So, I is implicit. Also, welfare activities cannot be carried out in organisations without the allocation of funds for the same in the budget. So, II is also implicit.
7. Statement: The alert villagers caught a group of dreaded dacoits armed with murderous weapons.
Courses of Action:
The villagers should be provided sophisticated weapons.
The villagers should be rewarded for their courage and unity.
As discussed above, the conclusion must be particular negative and should not contain the middle term. So, it follows that 'Some cameras are not magazines'. However, I and II involve only the extreme terms and form a complementary pair. Thus, either I or II follows.