Direction (Q. 1 - 5) : In each question below, there are three statements followed by four conclusions numbered I, II, HI and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements: a. Some chairs are tables.
b. All tables are keys.
c. All locks are keys.
Conclusions: I. Some tables are not chairs.
II. All keys are chairs.
III. Some locks are tables.
IV. Some locks are chairs.
Converted (a) gives conclusion I. (a) + (b) gives no conclusion. Hence II does not follow. Again (a) + (b) + (c) gives conclusion. Hence III and IV do not follow. But III and IV make a complementary pair. Hence either III or IV follows.
Statements: a. All stands are papers.
b. Some pins are papers.
c. All pins are phones.
Conclusions: I. Some phones are not papers.
II. Some stands are phones.
III. Some pins are stands.
IV. Some phones are not stands.
Converted (b) + (c) gives : Some papers are phones ....... (A). But I does not follow. (a) + (A) gives no conclusion. Hence II and IV do not follow. but they make a complementary pair. Hence either II or IV follows. (b) + converted (a) gives no conclusion. Hence III does nott follow.
Statements: a. No page is a copy.
b. Some cards are not rectangles.
c. Some copies are rectangles.
Conclusions: I. Some pages are not rectangles.
II. No rectangles are pages.
III. Some copies are not pages.
IV. Some rectangles are not pages.
Statements: a. All nibs are needles.
b. No switch is a needle.
c. Some switches are wheels.
Conclusions: I. Some needles are not wheels.
II. No nib is a switch.
III. Some nibs are not switches.
IV. Some needles are switches.
(a) + Converted (b) gives : No nib is a switch. Hence II follows. The implication of II gives III. Hence III follows. Converted (c) + (b) gives : Some wheels are not needles. Hence I does not follow. IV does not follow from (b), on conversion.