Statements: P < T Y > W P >= Y Conclusions: (I) W <= P (II) T > Y Which of the…

2023

Statements:
P < T
Y > W
P >= Y

Conclusions:
(I) W <= P
(II) T > Y

Which of the following is correct?

  1. A.

    Both conclusions (I) and (II) are true

  2. B.

    Neither conclusion (I) nor (II) is true

  3. C.

    Only conclusion (I) is true

  4. D.

    Only conclusion (II) is true

Attempted by 315 students.

Show answer & explanation

Correct answer: A

Given:
P < T, Y > W, and P >= Y.

Conclusion (I): W <= P
Since P >= Y and Y > W, we have P > W. Therefore W <= P is definitely true.

Conclusion (II): T > Y
Since P >= Y, we can write Y <= P. Also P < T. Hence Y <= P < T, so Y < T and therefore T > Y.

Both conclusions (I) and (II) follow.

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