In the question symbols *, @, %, $ and # are used with the following meaning :…
2024
In the question symbols *, @, %, $ and # are used with the following meaning :
‘P $ Q’ means ‘P is not greater than Q’
‘P * Q’ means ‘P is neither smaller than nor greater than Q’
‘P # Q’ means “P is neither greater than nor equal to Q’
‘P % Q’ means ‘P is not smaller than Q’.
‘P @ Q’ means ‘P is neither smaller than nor equal to Q’.
Now assuming the statements to be true, find which of the
two conclusions I and II is/are definitely true.
Statements:
W @ M, J # M, M * Y
Conclusions:
I. Y * W
II. Y @ J
- A.
Only conclusion I is true
- B.
Only conclusion II is true
- C.
Either conclusion I or II is true
- D.
Neither conclusion I nor II is true
Attempted by 25 students.
Show answer & explanation
Correct answer: B
Symbol meanings: ‘P $ Q’ means P is not greater than Q (P ≤ Q); ‘P * Q’ means P is neither smaller than nor greater than Q (P = Q); ‘P # Q’ means P is neither greater than nor equal to Q (P < Q); ‘P % Q’ means P is not smaller than Q (P ≥ Q); ‘P @ Q’ means P is neither smaller than nor equal to Q (P > Q).
Given statements translated:
W @ M ⇒ W > M
J # M ⇒ J < M
M * Y ⇒ M = Y
Deductions:
From M = Y and J < M we get J < Y, which means Y > J. So the statement Y @ J is true.
From W > M and M = Y we get W > Y, so Y is not equal to W. Therefore Y * W (meaning Y = W) is false.
Conclusion: Only the second conclusion (Y @ J) is definitely true; the first conclusion (Y * W) is not true.