Instructions

In the following question, the symbols @, %, $, # and $$\star$$ are used with the following meaning as illustrated below:

‘P $ Q’ means ‘P is not smaller than Q’
‘P $$\star$$ Q’ means ‘P is neither smaller than nor equal to Q’
‘P @ Q’ means ‘P is not greater than Q’
‘P # Q’ means ‘P is neither greater than nor smaller than Q’
‘P % Q’ means ‘P is neither greater than nor equal to 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 ?

Question 9

Statements: B # J, J @ D, F $ D
Conclusions: I. B # F II. F $$\star$$ B

Solution

The statements :

B = J , J $$\leq$$ D , F $$\geq$$ D

Combining above inequalities, we get :

F $$\geq$$ D $$\geq$$ J = B

The conclusions :

F = B and F > B

Since, F $$\geq$$ B

Thus, either conclusion I or II is true.


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