## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

1. Statements
P < Q > T,
R ≥ Q.
Conclusions
I. R > P
II. T < R
1. if only Conclusion I is true
2. if only Conclusion II is true
3. if either Conclusion I or II is true
4. if neither Conclusion I nor II is true
5. if both Conclusion I and II are true

1. Given that,
P < Q > T ...................(i)
R ≥ Q ......................(ii)
On combining the statements (i) and (ii), we get
P < Q ≤ R
R ≥ Q > T
Conclusions
I. R > P
II. T < R

##### Correct Option: E

Given that,
P < Q > T ...................(i)
R ≥ Q ......................(ii)
On combining the statements (i) and (ii), we get
P < Q ≤ R
R ≥ Q > T
Conclusions
I. R > P ...... (true)
II. T < R .......(true)

So, it is clear that both Conclusions I and II are true.

1. Statements
F ≥ G = H;
G > J ≥ K
Conclusions
I. F ≥ K
II. K < H
1. If only Conclusions I is true
2. if only Conclusions II is true
3. if either Conclusions I or II is true
4. if neither Conclusions I nor II istrue
5. if both Conclusions I and II are true

1. Given that,
D > E ≤ F ............(i)
J < F ......................(ii)
On combining the statements (i) and (ii), we get
D > E ≤ F > J
Conclusions
I. D > J
II. E < J

##### Correct Option: D

Given that,
D > E ≤ F ............(i)
J < F ......................(ii)
On combining the statements (i) and (ii), we get
D > E ≤ F > J
Conclusions
I. D > J        (false)
II. E < J         (false)

So, it is clear that neither Conclusion I nor II is true

1. Statements
P < Q = R ≥ S ≥ T
Conclusions
I. T ≤ Q
II. R > P
1. If only Conclusions I is true
2. if only Conclusions II is true
3. if either Conclusions I or II is true
4. if neither Conclusions I nor II is true
5. if both Conclusions I and II are true

1. Statements
P < Q = R ≥ S ≥ T
Conclusions
I. T ≤ Q
II. R > P

##### Correct Option: E

Statements
P < Q = R ≥ S ≥ T
Conclusions
I. T ≤ Q         (true)
II. R > P       (true)
Hence, both conclusions are definitely true.

1. Statement
A ≤ B < C ;
A ≥ D;
C ≤ F
Conclusions
I. D < C
II. F ≥ D
1. If only Conclusions I is true
2. if only Conclusions II is true
3. if either Conclusions I or II is true
4. if neither Conclusions I nor II is true
5. if both Conclusions I and II are true

1. Statement
A ≤ B < C ;
A ≥ D ;
C ≤ F ;
On combining both the statements, we get
D ≤ A ≤ B < C ≤
Conclusions
I. D < C           (true)
II. F ≥ D       (false)
Hence, only conclusion I is definitely true.

##### Correct Option: A

Statement
A ≤ B < C ;
A ≥ D ;
C ≤ F ;
On combining both the statements, we get
D ≤ A ≤ B < C ≤
Conclusions
I. D < C           (true)
II. F ≥ D       (false)
Hence, only conclusion I is definitely true.

1. Statement
U > A = I ≤ 0 < E
Conclusions
I. I ≤ E
II. 0 > U
1. If only Conclusions I is true
2. if only Conclusions II is true
3. if either Conclusions I or II is true
4. if neither Conclusions I nor II is true
5. if both Conclusions I and II are true

1. Statement
U > A = I ≤ O < E
Conclusions
I. I ≤ E       (false)
II. O > U     (false)

##### Correct Option: D

Statement
U > A = I ≤ O < E
Conclusions
I. I ≤ E       (false)
II. O > U     (false)
Hence, neither Conclusion I nor II is definitely true.