Given signs signify something and on that basis, assume the given statements…

2023

Given signs signify something and on that basis, assume the given statements to be true and find which of the two conclusions I and II is/are definitely true.

P + Q means P is greater than Q

P * Q means P is greater than or equal than Q

P = Q means P is equal to Q

P / Q means P is less than Q

P – Q means P is less than or equal to Q

Statements X/Y,

W * Z,

Z + Y

Conclusions

I. W + Y

II. X/Z

  1. A.

    Only conclusion I is true

  2. B.

    Only conclusion II is true

  3. C.

    Neither conclusion I nor II is true

  4. D.

    Both conclusion I and II are true

Attempted by 22 students.

Show answer & explanation

Correct answer: D

Given relations: X/Y means X < Y; W * Z means W ≥ Z; Z + Y means Z > Y.

  1. Use Z + Y and W * Z to evaluate the first conclusion: Z + Y gives Z > Y, and W * Z gives W ≥ Z. Combining these gives W ≥ Z > Y, which implies W > Y. Thus the first conclusion (W > Y) is definitely true.

  2. Use X / Y and Z + Y to evaluate the second conclusion: X / Y gives X < Y, and Z + Y gives Z > Y, so Y < Z. Combining X < Y and Y < Z yields X < Z. Thus the second conclusion (X < Z) is definitely true.

  3. Final answer: Both conclusions are definitely true.

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