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Write the following statement in five di...

Write the following statement in five different ways conveying the same meaning.
p : If a triangle is equiangular then it is an obtuse angled triangle.

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Rewrite the following statement with "If -then" in five different ways conveying the same meaning. . If a natural number is odd, then its square is also odd

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By giving a counter example, show that the following statements are not true p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle

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Rewrite each of the following statements in the form "p if and only if q" r: if a quadrilateral is equi-angular then it is a rectangle and if a quadrilateral is a rectangle then it is equiangular.

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For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not. (i) If a triangle ABC is equilateral, then it is isosceles. (ii) If a and b are integers, then ab is a rational number.

Write the negation of the following statements. p: I went to my class yesterday

V PUBLICATION-MATHEMATICAL REASONING-QUESTION BANK
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  2. Write the negation of the following statement. q : All cats scratch

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  4. Write the negation of the following statement. s: There exists a numbe...

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  5. State the converse and contrapositive of each of the following stateme...

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  6. Write each of the statements in the form "if p, then q". p: It is nẹc...

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  7. Write each of the statements in the form "if p, then q" q: There is tr...

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  8. Write each of the statements in the form "if p,then q" r: You can acce...

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  9. Rewrite each of the following statements in the form "p if and only i...

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  10. Rewrite each of the following statements in the form "p if and only if...

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  11. Rewrite each of the following statements in the form "p if and only if...

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  12. Given below are two statements p:25 is a multiple of 5, q:25 is a mult...

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  13. Check the validity of the statement given below by contradiction meth...

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  14. Write the following statement in five different ways conveying the sam...

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  15. Identify the quantifier in the following statements and write the nega...

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  16. Which of the following sentences are statements? Justify your answer. ...

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  17. Which of the following is a statement? (i) x+2=9 (ii) 6 has three pri...

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  18. Find the component statement of the following compound statements. (i...

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  19. Write the contrapositive and converse of the following statement: If...

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  20. Consider the statement,"If x is an integer and x^2 is even, then x is ...

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