In the following questions, the symbols `delta$,***,"@"` and `©` are used with the meanings as indicated below.
`'P$Q'` means 'P is neither equal to nor greater than Q.
`P©Q` means 'P is neither equal to nor smaller than Q'.
`'PdeltaQ'` means 'P is neither greater than nor smaller to Q'.
`'P"@"Q'` means 'P is not smaller than Q'.
'PHQ' means 'P is not greater than Q'.
In each eqestion, three statements showing relationship, have been given, which are followed by three Conclusions I, II and II. Assuming that the given statements to be true, find out which conclusion(s) is/are definitely true.
Statements `M" @"D,D deltaK,K" © "R`
Conclusions I. `R$M`
II. `KdeltaM`
III. `K$M`

Options

A. a. Only I is true
B. b. Only II is true
C. c. Only III is true
D. d. Either II or III and I are true

Answer

D

Explanation

`P$QtoPltQ`
`P©QtoPgtQ`
`PdeltaQtoP=Q`
`P"@"QtoPgeQ`
`P***QtoPleQ`
Statements `M" @ "DimpliesMgeK`,
`DdeltaK=D=K,K©RimpliesKgtR`
So, `MgeK=DgtR`
Conclusions I. `R$MimpliesRltM" "` (true)
II. `KdeltaMimpliesK=M" "` (may be)
III. `K$MimpliesKltM" "` (may be)
So, from the given statements either II or III and I are true.