Since the question asks for a statement that is definitively true based on the premises, the correct answer is "None of the above."
The series is primarily increasing in the number of sides of polygonal shapes:
Triangle (3 sides)
Square (4 sides)
Pentagon (5 sides)
After the Pentagon, the next polygon in the sequence that continues this pattern is the Hexagon, which has 6 sides.
We cannot say that all penguins are swallows, all swallows are penguins, or that some penguins are swallows. Hence, the correct answer is (d) None of the above.
"Handle," "Pencil," and "Eraser" are all items that can be associated with writing or drawing tools.
"Paper," on the other hand, is a medium on which writing or drawing is done, not a tool used to write or draw.
The statement "All cars are vehicles" means every car is a type of vehicle.
The statement "A bicycle is also a vehicle" indicates that bicycles belong to the same broader category as cars, but it does not imply any direct relationship between the two.
Therefore, we cannot conclude that all cars are bicycles (a), some bicycles are cars (b), or some cars are bicycles (c). Hence, the correct answer is (d) None of the above.