In the following question the symbols ? , $\delta$, $\bigstar$ and % are used with the following meaning as illustrated below.

In the following question the symbols ? , $\delta$, $\bigstar$ and % are used with the following meaning as illustrated below.
P $\delta$ Q means ?P is not greater than Q?
P % Q means ?P is not smaller than Q
P  Q means P is neither greater than nor smaller than Q
P $ Q means P is greater than Q
P $\bigstar$ Q means P is smaller than Q
Now in each of the following questions assuming the given statements to be true find which of the two Conclusions I and II given below them is/are definitely true ?
Give answer
a:If only Conclusion I is true
b:If only Conclusion II is true
c:If either Conclusion I or II is true
d:If neither Conclusion I nor II is true
e:If both Conclusion I and II are true

Statement R$J, J%M, M ? K
Conclusions I.K ? J II.K $\bigstar$J
1). If only Conclusion I is true
2). If only Conclusion II is true
3). If either Conclusion I or II is true
4). If neither Conclusion I nor II is true

The statements are :

R > J , J $\geq$ M , M = K

After combining the above inequalities, we get :

R > J $\geq$ M = K

Conclusions :

K = J and K < J

Since, K $\leq$ J

Thus, either conclusion I or II is true.

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