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If the statement “Some trucks are not polluting vehicles is given as false then which of the following statements can be immediately inferred to be tr
Question

If the statement “Some trucks are not polluting vehicles is given as false then which of the following statements can be immediately inferred to be true?”
A. All trucks are non-polluting vehicles
B. All trucks are polluting vehicles
C. Some trucks are polluting vehicles
D. All polluting vehicles are trucks.
Choose the correct answer from the options given below:

A.

A and C only

B.

C and D only

C.

B, C and D only

D.

B and C only

Correct option is D

Some Trucks are not polluting vehicles is given (false) than according to square opposition.
 'A' = trucks are polluting vehicles.
'I' some trucks are polluting vehicles
If the statement “Some trucks are not polluting vehicles" is false, it means that the negation of this statement is true. The negation would be "All trucks are polluting vehicles." This directly makes statement B true. If all trucks are polluting vehicles, then it is also true that some trucks are polluting vehicles, making statement C true as well. Therefore, statements B and C are both true.

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