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Write the negative of the following stat...

Write the negative of the following statements and chheck whether the resulting statements are true or false
(i) The product of 4 and 8 is 12
(ii) Number of prime numbers are infinite
(iii) China is a continent
(iv) There does not exits a triangle has all its sides equal
(v) All the angles of a regular polygon are equal

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Let's solve the problem step by step. ### Step 1: Negate the first statement **Statement:** The product of 4 and 8 is 12. **Negation:** The product of 4 and 8 is not 12. **Check the truth of the negation:** The product of 4 and 8 is \(4 \times 8 = 32\), which is indeed not equal to 12. ...
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AAKASH INSTITUTE ENGLISH-MATHEMATICAL REASONING-Assignment (SECTION-D) (Assertion-Reason Type Questions)
  1. Write the negative of the following statements and chheck whether the ...

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  2. Let p be the statement "It rains"! and q be the statement "It is cold"...

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  3. If p, q, r be anY three. statements STATEMENT-1 : pvv(q^^r)hArr(pvvq...

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  4. STATEMENT-1 : The converse of p rArr q " is " q rArr p and STAT...

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  5. STATEMENT-1 : ~(prArrq)=p^^~q and STATEMENT-2 : p rArr q = ~p ...

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  6. STATEMENT-1 : (phArrq)=~ p hArr q and STATEMENT-2 : (phArrq) ...

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  7. Let p be the statement "x is divisible b, 4" and q be the statement "x...

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  8. STATEMENT-1 : The inverse of (p^^~q) rArrr " is "~pvvqrArr ~r and ...

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  9. STATEMENT-1 : If (p^^~r)rArr(qvvr) is false and q and r are false , th...

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  10. STATEMENT-1 : p hArr ~q is true, when pis false and q is true. and ...

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  11. STATEMENT-1 : (p^^~q)^^(~p^^q) and STATEMENT-2 : (pvv~q) vv (~p...

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  12. STATEMENT-1 : (p rArr q) hArr (~q rArr~p) and STATEMENT-2 : p rA...

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  13. STATEMENT-1 : (p rArr ~q) ^^ (~q rArr q) is a contradication and ...

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  14. STATEMENT-1 : The dual statement of "xis a perfect square or xis a pri...

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  15. STATEMENT-1 : [p^^(pvvq)]vv[q^^(qvvp)]=pvvq and STATEMENT-2 : p...

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  16. STATEMENT-1 : ~(phArrq)=~phArrq=phArr~q and STATEMENT-2 : (phArr...

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