In the following question , the symbols @ , c , $, % and * are used with the following meanings as illustrated below :
'P © Q' means P is not smaller than Q
'P `**` Q' means P is not greater than Q.
'P @ Q' means P is neither greater than nor equal to Q.
'P$ Q' means P is neither smaller than nor equal to Q
'P % Q' means P is neither greater than nor smaller than Q.
Statement : N$T , T© R , R%M , M@D
Conclusion : I.D$R II M@T III.M%T IV M$D.

Options

A. only I is true
B. only either II or III is true
C. only III is true
D. only eithe II or III and I are true

Answer

D

Explanation

According to the questions
`N$ T implies N gt T " " `… (i)
`T © R implies T ge R " "` … (ii)
`R % M implies R = M " "` .. (iii)
and `M @ D implies M lt D " "` …. (iv)
I. Relation between D and R
From (iii) and (iv) , we get
`R = M lt D " "` ... (v)
From (v) it is clear that
`D gt R`
So , conclusion I i.e, `D $ R implies D gt R` is definitely true .
II. Relation between M and T
From (ii) and (iii) , we get
`T ge R = M " "` .... (vi)
From (vi) , it is clear that
`M ge T ` i.e, `M lt T ` or M = T
So, conclusion II i.e, `M @ T implies M lt T`
or conclusion III
i.e, `M $ D implies M gt D` is definitely false
So , either conclusion II or III and I are definitely true .