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Direction: In the following questions, the symbols #, @, $, % are used with the following meaning illustrated.
‘M#N’means‘M is neither smaller than nor equal to N’
‘M@N’means‘M is neither greater than nor equal to N’
‘M $ N’ means‘M is not smaller than N’ ‘M * N’means‘M is not greater than N’
‘M&N’means‘M is neither greater than nor smaller than N’
Now in each of the following questions assuming the given statements to be true, find which of the four conclusions given below them is/are definitely true and give your answer accordingly.
Statement:
P # Q, R $ S # Q, R @ T * U
Conclusion:
I. R $ P
II. Q @ U
Both I and II are true
Either I or II is true
Only I is true
Only II is true
Neither I nor II is true
- Let's break down the statements:
- P # Q means P > Q.
- R $ S # Q implies R = S and S > Q, thus R > Q.
- R @ T * U translates to R < T and T = U, leading to T > R and U = T.
- Conclusions Evaluation:
- I. R $ P: Since R > Q and P > Q, we cannot deduce R = P. This conclusion is false.
- II. Q @ U: We have Q < S and S < R < T, and U = T, implying Q < U, making Q @ U true.
- Assessment of Options:
- Conclusion II is definitely true while Conclusion I is not.
Correct Answer: Option: 4, Only II is true
By: Parvesh Mehta ProfileResourcesReport error
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