Q. Consider the following:
I. A+B means A is neither smaller nor equal to B.
II. A-B means A is not greater than B.
III. A x B means A is not smaller than B.
IV. A B means A is neither greater nor equal to B.
V. AB means A is neither smaller nor greater than B.
Statement: PXQ, P-T, T÷R, R±S
Conclusion-1: Q±T
Conclusion-2: S+Q
Which one of the following is correct in respect of the above Statement and the Conclusions ?
(a) Only Conclusion-1 follows from the Statement.
(b) Only Conclusion-2 follows from the Statement.
(c) Both Conclusion-1 and Conclusion-2 follow from the Statement.
(d) Neither Conclusion-1 nor Conclusion-2 follows from the Statement.
Correct Answer: (b) Only Conclusion-2 follows from the Statement.
Question from UPSC Prelims 2023 CSAT
Explanation :
From the given statement, we can interpret the following:
I. P is not smaller than Q (P≥Q)
II. P is not greater than T (P≤T)
III. T is not smaller than R (T≥R)
IV. R is neither greater nor equal to S (R<S)
Now, let’s analyze the conclusions:
Conclusion-1: Q is neither greater nor equal to T (Q<T). This conclusion does not follow from the statement because we know that P≥Q and P≤T, but we cannot determine the relationship between Q and T.
Conclusion-2: S is not smaller than Q (S≥Q). This conclusion follows from the statement. Since P≥Q, P≤T, T≥R, and R<S, we can infer that S≥Q.
Therefore, only Conclusion-2 follows from the statement. So, the correct answer is (b) Only Conclusion-2 follows from the Statement.
