Statement:
$C < A \leq T = D \leq O; G \leq D < S; T \geq A$
Conclusions:
I: $T \leq O$
II: $D < T$
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.
Similar Questions
In a certain code language, ‘A + B’ means ‘A is the mother of B’; ‘A – B’ means ‘A is the brother of B’; ‘A × B’ means ‘A is the wife of B’ and ‘A ÷ B’ means ‘A is the father of B’. Based on the above, if M + Q – R × K – Y, then how is M related to Y?
In a certain code language, ‘TERRAIN’ is written as ‘VETTAIP’ and ‘TRAFFIC’ is written as ‘VTHAHIE’. How will ‘MOTOR’ be written in that language?
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 : ?
A statement is given followed by two conclusions. Find which conclusion is TRUE based on the given statement.
Statement: \(C = A \le T < D \ge O;\ G \ge D < S;\ T \ge A\)
Conclusions:
I: A < O
II: C < G
In the following questions, the symbols @, #, $, © and % are used with the following meaning as illustrated below:
P @ Q ⇒ P ≥ Q
P # Q ⇒ P ≤ Q
P $ Q ⇒ P < Q
P © Q ⇒ P > Q
P % Q ⇒ P = QStatements: M © N, N # O
Conclusions: I. M © O II. M @ O
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
In the following questions, the symbols $, #, @, % and * illustrate the following meanings.
- P $ Q - P is not smaller than Q
- P # Q - P is neither greater than nor equal to Q.
- P @ Q - P is neither smaller than nor equal to Q.
- P % Q - P not greater than Q
- P * Q - P is neither greater than nor smaller than Q
Statements:
K # L, L % M, M * N, N # O
Conclusions:
I. K # M
II. K * M
III. L % O
Statement:
D ? M β P × K Ω F ? T; M × G
Conclusions:
I. K @ G
II. T ? P
III. F β MStatement:
T @ I × H Ω U ? P β V ? L; H @ L
Conclusions:
I. T Ω L
II. V β T
III. I @ LStatements:
P # B $ T; R & B $ S; L % R # Q
Conclusions:
I. P # Q
II. L & Q
III. T % S
IV. P # S
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
