Two statement are given followed by another group of two statements
listed as P and Q. these are supposed to be inferences from the first
two. Study these and choose : Statements : All boys are rivers. Some rivers are girls. Conclusions :
P. Some girls are boys.
Q. Some boys are girls.
No conclusion of mediate inference is possible since the middle term is not distributed.
Q. No. 8:
In the question given below there are two statements followed by three conclusions numbered I, II and III. You have to take the given statement to be true even if they seem to be at various with commonly known facts and then decide which of the given conclusions logically follows from the given statements. Statements : Some years are decades. All centuries are decades. Conclusions : I. Some centuries are years. II. Some decades are years. III. No century is a year.
Answer: A Middle term 'decades' is not distributed. Therefore, no definite conclusions can be drawn. We find that conclusion I and II make a complementary pair of inference. Therefore, only either I or II and II follow.
Q. No. 9:
In the question given below there are two statements followed by three
conclusions numbered I, II and III. You have to take the given statement
to be true even if they seem to be at various with commonly known facts
and then decide which of the given conclusions logically follows from
the given statements. Statements : All shares are debentures. No debenture is any equity. Conclusions :
I. No equity is a share.
II. Some debentures are shares.
III. No share is an equity.
Answer: C The proposition all shares are debentures can be converted into a particular proposition some debenture as shares. Hence. conclusion II follows. I and II are negative which also follow as one of the statement is negative. Hence all follow.
Q. No. 10:
In the question given below there are two statements followed by three
conclusions numbered I, II and III. You have to take the given statement
to be true even if they seem to be at various with commonly known facts
and then decide which of the given conclusions logically follows from
the given statements. Statements : All cities are towns. Some cities are villages. Conclusions :
I. All villages are towns.
II. No village is a town.
III. Some village are towns.
Conclusion III follows as some villages are definitely towns.
Q. No. 11:
In the question given below there are two statements followed by three
conclusions numbered I, II and III. You have to take the given statement
to be true even if they seem to be at various with commonly known facts
and then decide which of the given conclusions logically follows from
the given statements. Statements : Some tables are chairs. Some chairs are beds. Conclusions :
I. Some tables are bed.
II. No bed is either a chair or a table.
III. All bed are chairs.
Answer: D No mediate inference can be derived as the middle term chairs is not distributed. Hence, none follows.
Q. No. 12:
In the question given below, you are given two statement followed by two conclusions P and Q. You have to take the statements to be true even if they seem to be at variance with the commonly known facts. You have to decide which of the given conclusions definitely follow from the given statements. Statements : Some pens are tables. No table is blue. Conclusions : P. No pen is blue Q. No blue thing is pen.
The given statements can be depicted by venn diagram in two ways. Both conclusions are valid for one figure but invalid for the other figure. Hence, both the conclusion do not follow.