CSAT Solved Papers/ 2023/Q70
2023 CSAT — Q70
Consider the following:
I. means is neither smaller nor equal to .
II. means is not greater than .
III. means is not smaller than .
IV. means is neither greater nor equal to .
V. means is neither smaller nor greater than .
Statement:
Conclusion-1:
Conclusion-2:
Which one of the following is correct in respect of the above Statement and the Conclusions?
Worked rationale
Decode the coded operators into plain inequalities first:
- : neither smaller nor equal
- : not greater
- : not smaller
- : neither greater nor equal
- : neither smaller nor greater
Now translate the Statement:
Chain them: , i.e.
Conclusion-1 (, i.e. ): we only have , so but possibly . Equality is not forced. Does not follow.
Conclusion-2 (, i.e. ): , so strictly. Follows.
Answer: (b) Only Conclusion-2 follows from the Statement.
Why the other options miss
- A upgrades to : reads as , forcing an equality the chain never guarantees.
- C correctly derives but also wrongly accepts , not testing whether is possible.
- D mis-decodes an operator (e.g. reads "" as or "" as ), breaking the chain so even is rejected.
Specialist insight
The discipline is decode every operator into an ordering symbol before reasoning — the words “neither smaller nor equal,” “not greater,” etc. each map to exactly one of . Then assemble the single chain . A “follows” conclusion must hold in every model: always holds (strict, via ), but can fail (when ). Distinguishing a forced strict inequality from a merely-possible equality is the whole item.
Decode to : is forced (Concl-2 ✓) but is not (only ) (b).