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Directions : In the following questions, the symbols ?, #, @, ? and $ are used with the following meaning as illustrated below:P ? Q means…

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Directions : In the following questions, the symbols ?, #, @, ? and $ are used with the following meaning as illustrated below:
P ? Q means P is not greater than Q.
P # Q means P is neither greater than nor equal to Q
P @ Q means P is neither greater than nor smaller then Q
P ? Q means P is neither smaller than or equal to Q
P $ Q means P is not smaller than Q.
Now in each of the following questions assuming the given statements to be true, find which of the conclusions given below them are definitely true?
Statements
D # E,
E ? T,
T @ C,
C # A
Conclusions
I. D # A
II. C ? D
III. A ? E
IV. T # A
  • AOnly I, III and IV are true
  • BOnly I, II and IV are true
  • COnly I, II and III are true
  • DOnly I and III are true
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Discussion 2

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0
CCommunity
Solution
According to the given statements D<E,E<=T,T=C and C<A


Conclusion 1 : D<A

True as D<E, E<=T which implies D<T means D<C as T=C

Now C<A means D<A


Conclusion 2:C<=D.

It is false as D<E<=C.Now T=C.

So D<C


Conclusion 3: A>E

It is true as A>T>=E

So A>E


Conclusion 4: A>T

It is true as A>C and C=T

So A>T
0
CCommunity
Solution
According to the given statements D<E,E<=T,T=C and C<A


Conclusion 1 : D<A

True as D<E, E<=T which implies D<T means D<C as T=C

Now C<A means D<A


Conclusion 2:C<=D.

It is false as D<E<=C.Now T=C.

So D<C


Conclusion 3: A>E

It is true as A>T>=E

So A>E


Conclusion 4: A>T

It is true as A>C and C=T

So A>T