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If the number of benches and chairs in a school are 4b and 5c respectively, what is the total number of chairs and benches?

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Solution

Total number of chairs and benches

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Q. Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences ?

(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs

Statements: All desks are benches.

No bench is a chair.

All chairs are roads.

Conclusions: I. Some roads are chairs.

II. No chair is a desk.

Q. In each of the questions below four statements are given, followed by four conclusions numbered I, II. III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All books are cards.
Some cards are benches.
All benches are chairs.
Some chairs are tables.

Conclusions
I. Some chairs are cards.
II. Some tables are chairs.
III. Some cards are books.
IV. Some chairs are benches.

Q. There are benches in class room .If 4 students sit on each bench ,3 benches are left vacant and if 3 students sit on each bench , 3 students are left standing .what is the total number of students in the class?

Q. In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions if any, follow from the given statements.

Statements
All benches are tables.
No table is a chair.

Conclusions
I. All benches are chairs.
II. All tables are benches.
III. No tables are benches.
IV. No benches are chairs.

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