Consider the following statements:
S1: $A \ge B$ ;
S2: $C > D$ ;
S3: $A \ge E$ ;
S4: $B \ge C$ ;
S5: $F = B$
Which of the following conclusions is/are true?
Conclusions:
Q1: $C > E$
Q2: $E > B$
Q3: $F > D$
Q4: $A > D$

Question

Consider the following statements:
S1:

A \ge B

;
S2:

C > D

;
S3:

A \ge E

;
S4:

B \ge C

;
S5:

F = B

Which of the following conclusions is/are true?
Conclusions:
Q1:

C > E

Q2:

E > B

Q3:

F > D

Q4:

A > D

Accepted Answer

C - Q3 and Q4. From $F = B \ge C \gt D$: $F \gt D$ (Q3 true). $A \ge B \ge C \gt D$ gives $A \gt D$ (Q4 true). $E$ is related only through $A \ge E$, so $C \gt E$ and $E \gt B$ cannot be determined. Hence Q3 and Q4.

Answer

A - Only Q3

Answer

B - Q2 and Q3

Answer

D - Q1, Q3 and Q4

Consider the following statements: S1: \(A \ge B\); S2: \(C > D\); S3: \(A \ge E\); S4: \(B \ge C\); S5: \(F = B\) Which of the following conclusions is/are true? Conclusions: Q1: \(C > E\) Q2: \(E…

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