Question

A statement is given, followed by four conclusions given in the options. Find out which conclusion is true based on the given statement.

Statement:
X < Z = T > V > P < Y = O

• A. T>Y
• B. O>P
• C. T<X
• D. V>Y

Answer 1

Answer:

B. O>P

• Between X, Z, and T:

  • $Z = T$

  • X < Z

  • X < T

• Between Z, T, V, and P:

  • T > V (or Z > V)

  • T > P (or Z > P)

  • V > P

• Between P, Y, and O:

  • $Y = O$

  • P < Y (or Y > P)

  • P < O (or O > P)

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The correct conclusion is O > P.

X < Z = T > V > P < Y = O:

• O > P (True): Looking at the right side of the expression, we have P < Y = O. Since $Y$ equals $O$, we can substitute $O$ for $Y$, which gives P < O. Flipping this inequality gives O > P.

• T > Y (False): Between $T$ and $Y$, the inequality signs change direction (T > V > P < Y). Because the signs oppose each other (> and <), no definite relationship can be established between them.

• T < X (False): The statement clearly shows X < Z = T, which simplifies to X < T (or T > X). Therefore, T < X is incorrect.

• V > Y (False): Similar to the relationship between $T$ and $Y$, the signs change direction between $V$ and $Y$ (V > P < Y), so this relationship cannot be determined.