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
1). Only I, III and IV are true
2). Only I, II and IV are true
3). Only I, II and III are true
4). Only I and III are true
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
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