Direction (Q. 1 - 5): Following questions are based on the five three-digit numbers given below
984, 418, 369, 693, 576
If the positions of first and the third digits within each number are interchanged, which of the following will be the middle digit of the highest number ?
If the positions of the first and second digits within each number are interchanged, which of the following will be the sum of the second and third digits of the new lowest number ?
If the second and third digits within each number are interchanged and then arranged in ascending order of the numbers, which number will be the first ?
Direction (Q. 6 - 10): In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: All desks are rooms. Some rooms are halls.
All halls are leaves.
Conclusions: I. Some leaves are desks.
II. Some halls are desks.
III. Some leaves are rooms.
All desks are rooms + Some rooms are halls = A + I = no conclusion. Hence II does not follow. Some rooms are halls + All halls are leaves = I + A = 1. Hence III follows. Some leave are rooms + conversion of All desks are rooms = I + I = no conclusion. Hence I does not follow.
Statements: Some bags are plates. Some plates are chairs.
All chairs are tables.
Conclusions: I. Some tables are plates.
II. Some chairs are bags.
III. No chairs are bags.
Some bags are places + Some plates are chairs = I + I = no conclusion. Hence II and III do not follow. I + A = I = Some plates are tables. Hence I follows. II and III are a complementary pair.
Statements: All stones are rivers.
All rivers are cars.
Some cars are trains.
Conclusions: I. Some trains are stones.
II. Some cars are stones.
III. Some trains are rivers.
All stones are rivers + All rivers are cars = A + A = A = All stones are cars - conversion - Some cars are stones (I). Hence II followss. All rivers are cars + Some cars are trains = A + I = No Conclusion. Hence III and I do not follow.
Statements: All buildings are mirrors.
Some mirrors are pens.
No pen is paper.
Conclusions: I. Some building are not papers.
II. Some pens are building.
III. Some mirrors are not papers.
All building are mirrors + Some mirrors are pens = A + I = No conclusion. Hence II does not follows. Some mirrors are pens + No pen is papers = I + E = O = Some mirrors are not papers. Hence III follows. All buildings are mirrors + Some mirrors are not papers = A + O = No conclusion. Hence I does not follow.
Statements: Some books are trees.
All trees are roads.
All roads are wheels.
Conclusions: I. Some books are roads.
II. All trees are wheels.
III. All wheels are trees.
Some books are trees + All trees are roads = I + A = I = Some books are roads. Hence I follows. All trees are roads + All roads are wheels = A + A = A = All trees are wheels. Hence II follows. But, All wheels are trees does not follows.