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 8

Statements: F $ M, N @ M, N % W
Conclusions: I. F # N II. N % F

Solution

The statements are :

F $$\geq$$ M , N $$\leq$$ M , N < W

Combining above inequalities, we get :

F $$\geq$$ M $$\geq$$ N and W > N

The conclusions :

F = N and F > N

Since, F $$\geq$$ N

Thus, either conclusion I or II is true.


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