Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some camels are elephants.
All elephants are lions.
All lions are tigers.
Conclusions:
I. Some tigers are camels.
II. Some camels are lions.
- ANeither conclusion I nor II follows
- BOnly conclusion II follows
- CBoth conclusions I and II follow
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's evaluate the statements using a standard Venn diagram or logical relations:
"Some camels are elephants" means there is an intersection between the set of Camels and Elephants.
"All elephants are lions" means the entire set of Elephants is inside the set of Lions. Since some camels are elephants, those camels are automatically part of the Lions set as well. Thus, "Some camels are lions" is definitely true. (Conclusion II follows)
"All lions are tigers" means the entire set of Lions is inside the set of Tigers. Since some camels are lions, those camels must also be part of the Tigers set. Thus, "Some tigers are camels" is definitely true. (Conclusion I follows)
Therefore, both conclusions I and II follow.
"Some camels are elephants" means there is an intersection between the set of Camels and Elephants.
"All elephants are lions" means the entire set of Elephants is inside the set of Lions. Since some camels are elephants, those camels are automatically part of the Lions set as well. Thus, "Some camels are lions" is definitely true. (Conclusion II follows)
"All lions are tigers" means the entire set of Lions is inside the set of Tigers. Since some camels are lions, those camels must also be part of the Tigers set. Thus, "Some tigers are camels" is definitely true. (Conclusion I follows)
Therefore, both conclusions I and II follow.