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In the question the symbols delta, "@", ...

In the question the symbols `delta, "@", © , %` and `***` are used with the meaning as indicated below.
`'P©Q'` means P is not smaller than Q'.
`'P%Q'` means 'P is not smaller than nor equal to Q'
`P***Q` means 'P is not greater than nor equal to Q.
`P deltaQ` means 'P is not greater than Q.
`P"@"Q` means P is neither greater than nor smaller than Q.
Now assuming the given statements to be true, find which one of the four Conclusions given below are true.
Statement:- `D deltaT, T " @ "R, R " @ "M,M% K`
Conclusions I. `R" @ "D`
II. `R % D`
III. `K***T`
IV. `M delta T`

A

a. Only either I or II is true

B

b. III and IV are true

C

c. Either I or II and III are true

D

d. Either I or II and III and IV are true

Text Solution

Verified by Experts

`%impliesgt`
`***implieslt`
`deltaimpliesle`
`"@"implies=`
Here, `DdeltaTimpliesDleT`
`T"@"RimpliesT=R`
`R©MimpliesRleM`
`M%KimpliesMgtK`
So, `DleT=RgeMgtK`
Now, `R"@"DimpliesR=D" "` (may be)
`R%DimpliesRgtD" "` (may be)
`K***TimpliesKltT" "` (true)
`MdeltaTimpliesMleT" "` (true)
From first two statements only one be Hence. either I or II and Ill and IV are true.
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ARIHANT PUBLICATION-MATHEMATICAL OPERATIONS AND SYMBOL NOTATIONS-Let us Practice (B. Expert Level Exercise )
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  12. 'P #Q' means 'P is neither smaller than nor equal to Q'. 'P %Q' mean...

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  13. 'P #Q' means 'P is neither smaller than nor equal to Q'. 'P %Q' mean...

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  14. In the following questions, the symbols delta$,***,"@" and © are used ...

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  15. In the following questions, the symbols delta$,***,"@" and © are used ...

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  16. In the following questions, the symbols delta$,***,"@" and © are used ...

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  17. In the following questions, the symbols delta$,***,"@" and © are used ...

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  18. In the following questions, the symbols delta$,***,"@" and © are used ...

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  19. Read each statement carefully and answer the following questions Whi...

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  20. Read each statement carefully and answer the following question. Whi...

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  21. Which of the following symbols should be placed in the blank spaces re...

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