The statements below are followed by four conclusions labelled I, II, III and IV. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
Some Linear Equations are Quadratic Equations.
All Quadratic Equations are Algebraic Equations.
Conclusions:
I. All Linear Equations are Algebraic Equations.
II. Some Algebraic Equations are Linear Equations.
III. Some Algebraic Equations are Quadratic Equations.
IV. All Quadratic Equations are Linear Equations.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only II and III follow.
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The least possible Venn diagram is shown below:
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Conclusions: I. All Linear Equations are Algebraic Equations: False (This is possible but not definite) II. Some Algebraic Equations are Linear Equations: True III. Some Algebraic Equations are Quadratic Equations: True (All Algebraic Equations are Quadratic Equations) IV. All Quadratic Equations are Linear Equations: False (This is possible but not definite) |
