In the following questions the symbols `delta, "@", © , %` and `***` are used with the mearning as indicated below.
`'P©Q'` means P is not smaller than Q'.
`'P%Q'` means 'P is not neither smaller than nor equal to Q'
`P***Q` means 'P is neither greater than nor equal to Q.
`P deltaQ` means 'P is neither greater than Q.
`P"@"Q` means P is neither greater than nor smaller than Q.
Now, in each of the following questions dessuming the given statements to be true find which of the four Conclusions I, II, III, and IV given below them is are detinitely true, given your answer accordingly.
Statements `J" @ "F,F delta N,N % H,H " @ " G`
Conclusions I. `G***N`
II. `N"@"J`
III. `F***J`
IV. `J deltaG`

Options

A. I and II are true
B. I, II and Ill are true
C. I, Ill and IV are true
D. All I, II, Ill and IV are true

Answer

A, B

Explanation

`%impliesgt`
`***implieslt`
`deltaimpliesle`
`"@"implies=`
Here, `J"@"FimpliesJ=F`
`FdeltaNimpliesFleN`
`N%HimpliesNgtH`
`H©GimpliesHgeG`
So, `J=FleNgtHgeG`
Now, `G***NimpliesGltN" "` (true)
`N©JimpliesNgeJ" "` (true)
`F***JimpliesFltJ" "` (true)
`JdeltaGimpliesJleG" "` (true)
Hence. I and II are true.