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Question

A statement is given followed by two conclusions. Find which conclusion is TRUE based on the given statement.

Statement:
$C < A \leq T = D \leq O; G \leq D < S; T \geq A$

Conclusions:
I: $T \leq O$
II: $D < T$

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
Only I

The problem requires analyzing a given statement with multiple inequalities and determining the validity of two conclusions based on that statement.

Statement Analysis

Let's break down the given statement and combine the inequalities:

  • From $C < A \leq T = D \leq O$, we get:
    • $C < A$
    • $A \leq T$
    • $T = D$
    • $D \leq O$
  • From $G \leq D < S$, we get:
    • $G \leq D$
    • $D < S$
  • The condition $T \geq A$ is consistent with $A \leq T$ and does not add new information.

Combining these, we have:

  • $A \leq T$ and $T = D$ implies $A \leq D$.
  • $T = D$ and $D \leq O$ implies $T \leq O$.
  • $T = D$ and $G \leq D$ implies $G \leq T$.

The core relationships derived are $A \leq T = D \leq O$ and $G \leq D$.

Conclusions Evaluation

Conclusion I: $T \leq O$

The statement includes the segment $T = D \leq O$. This directly implies that $T$ must be less than or equal to $O$.

Therefore, Conclusion I is TRUE.

Conclusion II: $D < T$

The statement explicitly states $T = D$. This means $T$ is equal to $D$, not strictly less than $D$.

Therefore, Conclusion II is FALSE.

Final Determination

Based on the analysis, only Conclusion I is true.

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Similar Questions

  1. Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely TRUE from the statement. Statement: P > Q < S > T = R ≥ U > V. Conclusion I: V < S. Conclusion II: P > T


Important Questions from Coded Inequalities

  1. In a certain code language, ‘TERRAIN’ is written as ‘VETTAIP’ and ‘TRAFFIC’ is written as ‘VTHAHIE’. How will ‘MOTOR’ be written in that language?

  2. Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Pig : Piglets :: Deer : ?

  3. In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

    Statements:

    P = U < M < K ≤ I > N

    Conclusions:

    I. N ≥ K

    II. I > P
  4. Statements:

    P # B $ T; R & B $ S; L % R # Q

    Conclusions:

    I. P # Q

    II. L & Q

    III. T % S

    IV. P # S

  5. Statement:

    R $ W % P; N & W # S; J % T @ N; K & T

    Conclusions:

    I. N # J

    II. P # S

    III. R @ P

    IV. W $ K

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