Consider the following: I. A + B means A is neither smaller nor equal to B. II. A - B means A is not greater…
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 × B means A is not smaller than B.
IV. A ÷ B means A is neither greater nor equal to B.
V. A ± B means A is neither smaller nor greater than B.
Statement: P × Q, 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?
Only Conclusion-1 follows from the Statement.
Only Conclusion-2 follows from the Statement.
Both Conclusion-1 and Conclusion-2 follow from the Statement.
Neither Conclusion-1 nor Conclusion-2 follows from the Statement.
Solution
Decode the symbols: A+B means A > B; A-B means A is not greater than B (A ≤ B); A×B means A is not smaller than B (A ≥ B); A÷B means A < B; A±B means A = B. Statement: P×Q (P ≥ Q), P-T (P ≤ T), T÷R (T < R), R±S (R = S). So Q ≤ P ≤ T < R = S. Conclusion-1 'Q±T' means Q = T — not necessarily true (only Q ≤ T). Conclusion-2 'S+Q' means S > Q — true since Q ≤ P ≤ T < R = S. Only Conclusion-2 follows.