Question

Statements: P $\$$ Q, Q $\delta$ S, S * R

Conclusions:

I. S * P

II. S $\$$ P

• A. Only conclusion I is true.
• B. Only conclusion II is true.
• C. Either conclusion I or conclusion II is true.
• D. Neither conclusion I nor conclusion II is true.
• E. Both conclusion I and conclusion II are true.

Answer 1

The correct option is C

Either conclusion I or conclusion II is true.

From the given statements
P $\$$ Q means ‘P is neither smaller nor greater than Q’. So P = Q. (a)
Q δ S means ‘Q is not smaller than S’. So Q $\ge$ S. (b)
S*R means ‘S is smaller than R’. So S < R. (c)
Combining all the equations you get P = Q $\ge$ S < R. (d)
Now, for the given conclusions
S*P means ‘S is smaller than P’. So S < P. (i)
S $\$$ P means ‘S is neither smaller nor greater than P’. So S = P. (ii)

So, either of the conclusions S < P or S = P will follow.