‘P @ Q’ means ‘P is not smaller than Q’ ‘P &Q’ means ‘P is neither greater than nor equal to Q’ ‘P# Q’ means ‘P is neither greater than nor smaller than Q’ ‘P $ Q’ means ‘P is not greater than Q’ ‘P % Q’ means ‘P is neither smaller than nor equal to Q’. Now in each of the following questions assuming the given statements to be true, find which of the three conclusions follow and give answer accordingly. Statements: D % H @ V, V $ WConclusions: I. H % W II. D % V III. D % W
Question
‘P @ Q’ means ‘P is not smaller than Q’ ‘P &Q’ means ‘P is neither greater than nor equal to Q’ ‘P# Q’ means ‘P is neither greater than nor smaller than Q’ ‘P WConclusions: I. H % W II. D % V III. D % W
Solution
Let's break down the given statements and conclusions using the provided definitions:
Statements:
- D % H @ V: This means D is neither smaller than nor equal to H and H is not smaller than V. So, D > H and H >= V. Therefore, D > V.
- V $ W: This means V is not greater than W. So, V <= W.
Conclusions:
- H % W: This means H is neither smaller than nor equal to W. So, H > W. But from the statements, we know that H >= V and V <= W. So, we cannot definitively say that H > W. Therefore, conclusion I does not follow.
- D % V: This means D is neither smaller than nor equal to V. So, D > V. This is true as per the statements. Therefore, conclusion II follows.
- D % W: This means D is neither smaller than nor equal to W. So, D > W. But from the statements, we know that D > V and V <= W. So, we cannot definitively say that D > W. Therefore, conclusion III does not follow.
So, only conclusion II follows.
Similar Questions
Directions : In the following questions the symbols @, $, %, © and # are used with the following meaning as illustrated below.‘P $ Q’ means ‘P is not greater than Q’.‘P @ Q’ means ‘P is neither smaller than nor equal to Q’.‘P # Q’ means ‘P is not smaller than Q’.‘P © Q’ means ‘P is neither greater than nor equal to Q’.‘P % Q’ means ‘P is neither smaller than nor greater than Q’.Now, in each of the following questions, assuming the given statements to be true, find which of the three Conclusions I, II and III given below them is/are definitely true and give your answer accordingly ?Statements: R @ N, N © D, D $ J, J # BConclusions: I. R @ J, II. J @ N, III. B @ DA None is true B Only I is true C Only II is true D Only III is true
‘P @ Q’ means ‘P is not smaller than Q’ ‘P &Q’ means ‘P is neither greater than nor equal to Q’ ‘P# Q’ means ‘P is neither greater than nor smaller than Q’ ‘P $ Q’ means ‘P is not greater than Q’ ‘P % Q’ means ‘P is neither smaller than nor equal to Q’. Now in each of the following questions assuming the given statements to be true, find which of the three conclusions follow and give answer accordingly.Statements: M $ T& J, J #NConclusions I. N % M II. J % M III. M $ N
I. ‘A$B’ means ‘A is the mother of B’.II. ‘A#B’ means ‘A is the father of B’.III. ‘A@B’ means ‘A is the husband of B’.IV. ‘A%B’ means ‘A is daughter of B’.P@Q$M#T indicates what relationship of P with T?
What does the symbol q in Conditional Statement Stand for?
p → q is logically equivalent to ________
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