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Write the component statements of the following compound statements and check whether the compound statement is true or false
(i) Venus is the smallest and Jupiter is the largest planet of solar system.
(ii) India is a country and Asia is a continent.
(iii) Commutative law holds for addition and subtraction of rational number.
(iv) Additive inverse exists for natural number and rational number
(v) 32 is a multiple of 2, 3 and 4.

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Let's break down the given compound statements into their component statements and check whether each compound statement is true or false. ### Step-by-Step Solution: 1. **Statement (i): "Venus is the smallest and Jupiter is the largest planet of the solar system."** - **Component Statements:** - Let \( P \): "Venus is the smallest planet of the solar system." - Let \( Q \): "Jupiter is the largest planet of the solar system." ...
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AAKASH INSTITUTE ENGLISH-MATHEMATICAL REASONING-Assignment (SECTION-D) (Assertion-Reason Type Questions)
  1. Write the component statements of the following compound statements a...

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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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