GATE XE 2018 Paper 1 — page 4

Questions 10–12 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 4 of 59

Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly.

Which of the following statements can be logically inferred from the above statements?

Your answerChoose one option.

If (i) is true and (ii) is false, then (iii) is false.

If (i) is true and (ii) is false, then (iii) is true.

If (i) and (ii) are true, then (iii) is true.

If (i) and (ii) are false, then (iii) is false.

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The largest interval in which the initial value problem

has a unique solution is

Your answerChoose one option.

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The sum of the roots of the indicial equation at

of the differential equation

Your answerChoose one option.

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2018 · Paper 1