Comprehension

Direction: In the following questions, the symbols @, #, $, %, & are used with the following meaning as illustrated below:

‘A @ B’ means ‘A is neither smaller than nor equal to B’.

‘A # B’ means ‘A is not smaller than B’.

‘A $ B’ means ‘A is not greater than or equal to B’.

‘A % B’ means ‘A is not greater than B’.

‘A & B’ means ‘A is neither smaller nor greater than B’.

Now in each of the following questions assuming the given statements to be true, find which of the conclusions given below is/are definitely true?

Statements:

I & T $ X $ U, Z @ J @ A & U, M @ K @ R # T, X # S @ B $ H

Conclusions:

I. J @ U @ S

II. M % X @ B

III. I $ R $ J

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  1. Only Conclusion II is true
  2. Both Conclusions I and III are true 
  3. Only Conclusion I is true
  4. All the Conclusions are true
  5. Either Conclusion II or Conclusion III is true

Answer (Detailed Solution Below)

Option 3 : Only Conclusion I is true
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Detailed Solution

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According to the given information, 

qImage68134eea30f702991e8f6647

Statements: I & T $ X $ U, Z @ J @ A & U, M @ K @ R # T, X # S @ B $ H

On converting: qImage68134eea30f702991e8f6648

On combining: qImage68134eeb30f702991e8f664c

Conclusions:

I. J @ U @ S qImage68134eeb30f702991e8f664e  True (It is clear from above inequality)

II. M % X @ B qImage68134eeb30f702991e8f6650 False (Since, M is only greater than not equal to X whereas X is greater than B)

III. I $ R $ J qImage68134eec30f702991e8f6651 False (Since, I is less than and equal to R and no definite relation between R and J)

Hence, only conclusion I is true.

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