In these questions the symbols @, #,$ *and are used with different meanings as follows:
'A @B' means 'A is smaller than B'.
'A# B' means 'A' is either smaller than or equal to B'.
A $ B' means 'A is greater than B'.
'A *B' means 'A is either greater than or equal to B.
' A © B' means 'A is neither greater than nor smaller than B
In each question, three statements showing relation-ships have been given, which are followed by two conclusions / & II. Assuming that the given statements are true, find out which conclusion (s) is/are definitely true.
Give answer (a) : if only conclusion I is true.
Give answer (b): if only conclusion II is true.
Give answer (c) :if either conclusion I or conclusion II is true. Give answer (d): if neither conclusion I nor conclusion II is true.
Give answer (e) : if both conclusions I and II are true.
Statement :U#D, D@R, R © T
Conclusion: 1. U@R II. T$D

Options

A. if only conclusion I is true.
B. if only conclusion II is true.
C. if either conclusion I or conclusion II is true.
D. if neither conclusion I nor conclusion II is true.

Answer

C

Explanation

According to the given informations,
A @ B `implies A lt B " "` A # B `implies A le B`,
A $ B `implies A gt B , " " A star B implies A ge B`
A © B `implies A cancelgt` and `A cancellt` A = B
According to the question
`U le D ... (i) " " D lt R ..... (ii)` R = T ... (iii)
From (i) , (ii) and (iii) , we get
`U le D lt R = T " ".... (iv)`
I. Relation between U and R
From (iv) , we get
`U lt R`
So, conclusion I i.e., `U lt R` is definitely true .
II. Relation between T and D
From (iv) , we get
`T gt D`
So , conclusion II i.e, T `gt` D is definitely true .
Therefore both conclusions I and II are true