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: J ≤ H ≤ G = R > Z = E > D

Options:

• D > R

• J ≤ G

• Z < D

• H > R

• A. D>R
• B. J≤G
• C. Z<D
• D. H>R

Answer 1

Answer:

B. J≤G

Based on the given statement, here is the complete breakdown of definite relationships so you can easily identify the correct option:

Statement: J ≤ H ≤ G = R > Z = E > D

Definite Relationships (True Conclusions):

• From J, H to G, R:

  • $J \leq G$, $J \leq R$

  • $H \leq G$, $H \leq R$

• Between G and R:

  • $G = R$

• From G, R to Z, E, D:

  • G > Z, G > E, G > D

  • R > Z, R > E, R > D

• Between Z and E:

  • $Z = E$

• From Z, E to D:

  • Z > D

  • E > D

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The correct option is J ≤ G.

Detailed Evaluation of Options:

• D > R (False): Looking at the chain R > Z = E > D, we can see that R is strictly greater than D (R > D). Therefore, D cannot be greater than R.

• J ≤ G (True): Looking at the continuous chain J ≤ H ≤ G, the inequality symbols point consistently in the same direction, proving that J is definitely less than or equal to G.

• Z < D (False): The chain shows Z = E > D, which directly establishes that Z is strictly greater than D (Z > D).

• H > R (False): The chain shows H ≤ G = R, which simplifies to H ≤ R. This means H is less than or equal to R, not strictly greater.