Question

Based on the given statement, four conclusions are drawn. Find out which conclusion is NOT true based on the statement.

Statement: A < B < C ≤ D = E > F > G

• A. E>B
• B. C<=E
• C. D>G
• D. A>E

Answer 1

Answer:

D. A>E

Based on the given statement, here is the complete breakdown of relationships so you can easily identify the conclusion that is NOT true (false):

Statement: A < B < C ≤ D = E > F > G

Definite Relationships (These are TRUE):

• From A, B, C to D and E:

  • A < D, A < E

  • B < D, B < E

  • $C \leq D$, $C \leq E$

• Between D and E:

  • $D = E$

• From D and E to F and G:

  • D > F, D > G

  • E > F, E > G

• Between F and G:

  • F > G (or G < F)

---

The conclusion that is NOT true (false) is A > E.

Detailed Evaluation of Options:

• E > B (True): Looking at the chain B < C ≤ D = E, we can see that E is strictly greater than B (E > B).

• C <= E (True): The statement explicitly shows C ≤ D = E, which simplifies directly to C ≤ E.

• D > G (True): Looking at the continuous chain D = E > F > G, the signs show that D is strictly greater than G (D > G).

• A > E (NOT TRUE / False): The continuous chain A < B < C ≤ D = E clearly proves that A is strictly less than E (A < E). Therefore, the claim that A > E is completely false.