Question

Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is / are definitely true and then give your answers accordingly.

Statements:  X ≤ Y ; Y  < Z  ; A ≥  Z

Conclusions:

I. X < A

II. Z > X
1. None is True
2. Both I and II are True
3. Only II is True
4. Only I is True
5. Either I or II is True

Answer 1

Correct Answer - Option 2 : Both I and II are True

Given statements: X ≤ Y ; Y  < Z  ; A ≥  Z→ X ≤ Y ; Y  < Z  ; Z ≤  A

On combining: X ≤ Y < Z ≤ A

Conclusions:

I. X < A → True (as X ≤ Y < Z ≤ A → X < A)

II. Z > X → True (as X ≤ Y; Y  < Z  → Z > Y ; Y ≥ X→ Z > Y ≥ X → Z > X)

Hence, both I and II are True