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 : J$T, T@V, V#M
Conclusion : I.T#M II. J©M

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

D

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
`J gt T .... (i) " " T lt V ` .... (ii) `V le M` .... (iii)
From (ii) and (iii) we get
`T lt V le M`
I. Relation between T and M
From (iv) , we get
`T lt M`
So , conclusion I i.e, `T le M` is not true.
II . Relation between J and M
From (i) and (iv) , we get
`implies` no definite conclusion regarding J and M .
So , conclusion II i.e., J = M is not necessarily true .
Therefore , neither conclusion I nor conclusion II is true .