## 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. 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. Which one of the four interchange in signs or numbers would make the given equation correct ?
6 x 4 + 2 = 16

1. Apply all option one by one.

##### Correct Option: C

Apply all option one by one.
∵ 6 x 4 + 2 = 16 ⇒ 4 + 6 x 2 = 16 ⇒ 4 + 12 = 16

1. Statements
A = B ≤ C,
A > R
Conclusions
I. B > R
II. R < C

1. Given that,
A = B ≤ C ................(i)
A > R .........................(II)
On combining the statements (i) and (ii), we get
R < A = B ≤ C
Conclusion
I. B > R. .................(true)
II. R < C .................(true)

##### Correct Option: E

Given that,
A = B ≤ C ................(i)
A > R .........................(II)
On combining the statements (i) and (ii), we get
R < A = B ≤ C
Conclusion
I. B > R. .................(true)
II. R < C .................(true)
So, it is clear that both Conclusions I and II follow from the given statements.

1. Statements
S > C ≥ 0, P < C
Conclusions
I. 0 < P
II. S > P

1. Given that
S > C ≥ O ....(i)
P < C ...............(ii)
On combined the statement (i) and (ii), we get
S > C > P
P < C ≥ O
Conclusions
I. O < P............... (false)
II. S > P ................ (true)

##### Correct Option: A

Given that
S > C ≥ O ....(i)
P < C ...............(ii)
On combined the statement (i) and (ii), we get
S > C > P
P < C ≥ O
Conclusions
I. O < P............... (false)
II. S > P ................ (true)
So, it is clear that only Conclusion II follow from the given statements.

1. Statements
H ≥ I = J > K ≤ L
Conclusions
I. K < H
II. L ≥ I

1. Given that,
H ≥ I = J > K ≤ L
H ? I = J > K means H > K
Conclusions
I. K < H     (true)
II. L ≥ I     (false)

##### Correct Option: A

Given that,
H ≥ I = J > K ≤ L