In the following questions, a relationship between different elements is shown in the statements. The statements are followed by 2 conclusions, give answer accordingly.
Statement: X2 ≥ X6, X4 ≤ X1 ≤ X5, X3 = X2, X5 > X3
Conclusion:
1. X3 > X6
2. X3 = X6
1. If neither conclusion 1 nor conclusion 2 is false.
2. If only conclusion 2 is false.
3. If only conclusion 1 is false.
4. If either conclusion 1 or conclusion 2 is true.
Sol:
Given statements:
X2 ≥ X6, X4 ≤ X1 ≤ X5, X3 = X2, X5 > X3
On combining all the statements together, we get: X4 ≤ X1 ≤ X5 > X3 = X2 ≥ X6
Conclusion:
1. X3 > X6 → True (As, X3 = X2 ≥ X6 → X3 ≥ X6)
2. X3 = X6 → True (As, X3 = X2 ≥ X6 → X3 ≥ X6)
But both conclusions 1 and 2 are complementary statements. Hence, if either conclusion 1 or conclusion 2 is true.
