Which of the following statements are mutually contradictory?

(i) All flowers are not fragrant.

(ii) Most flowers are not fragrant.

(iii) None of the flowers is fragrant.

(iv) Most flowers are fragrant.

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Which of the following statements say the same thing?

(i) 'I am a teacher'. (said by Arvind)

(ii) 'I am a teacher'. (said by Binod)

(iii) 'My son is a teacher'. (said by Binod's father)

(iv) 'My brother is a teacher'. (said by Binod's sister)

(v) 'My brother is a teacher'. (said by Binod's only sister)

(vi) 'My sole enemy is a teacher'. (said by Binod's only enemy)

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Which of the following are correct ways of arguing?

(i) There can be no second husband without a second wife.

(ii) Anil is a friend of Bob, Bob is a friend of Raj, and hence Anil is a friend of Raj.

(iii) A is equal to B, B is equal to C, hence A is equal to C.

(iv) If everyone is a liar, then we cannot prove it.

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Which of the following statement/s are always false?

(i) The sun will not rise in the East some day.

(ii) A wooden table is not a table.

(iii) Delhi city will be drowned underwater.

(iv) Cars run on water as fuel.

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The question contains two statements followed by four conclusions. Read all the conclusions carefully and then decide which of the given conclusions logically follows from the above given two statements in question.

Statements:

(i) Water is a liquid.

(ii) Ice is water.

Conclusions

(1) Ice is liquid.

(2) Ice is not liquid.

(3) No ice is liquid.

(4) None of these.

In the following question, a statement is followed by two assumptions, I and II. Then you have to consider each statement and assumptions that follow and decide which of the assumption (s) is/are implicit in the statement:

Statements: - Each nation must maintain an army.

Assumptions

(I) It makes people strong against foreign invasion.

(II) It is indispensable for the defense of the nation.

Out of the following statements, no two can be true at the same time, but both can be false. Identify the same:

a. Motivated students succeed in examinations.

b. Intelligent students succeed in examinations.

c. Irregular students fail in examinations.

d. Some intelligent students are irregular.