## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

Direction: In these question, relationship between different element is shown in the statements. These statements are followed by two conclusions.

1. Statements:
A > B, B ≥ C = D < E
Conclusions:
I. C < A II. D ≤ B
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. If both conclusion I and II follow.

##### Correct Option: E

If both conclusion I and II follow.

1. Statements:
H > J = K, K ≥ L, L > T, T < V
Conclusions:
I. K > T II. L ≤ H
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. If only conclusion I follows

##### Correct Option: A

If only conclusion I follows

1. Statements:
A ≥ B = C, D > C = E
Conclusions:
I. E > A II. A < D
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. If either conclusion I or II follows

##### Correct Option: C

If either conclusion I or II follows

Direction: In these question, the relationship between different element is shown in the statements. These statements are followed by two conclusions.

1. Statements:
A ≥ B = C, B < D ≤ E
Conclusions:
I. D > A II. E > C
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. A ≥ B = C < D ≤ E
I. D > A is not true, II. E > C is true.

##### Correct Option: B

A ≥ B = C < D ≤ E
I. D > A is not true, II. E > C is true.

1. Statements:
L > U ≥ K, Z < U < R
Conclusions:
I. L > Z II. K < R
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. Split them as L > U ...(i)
Combining (i) and (ii),
We get L > U > Z or L > Z
Hence I follows.
Combining (ii) and (iv) we get K ≤ U < R or K < R Hence II follows.

##### Correct Option: E

Split them as L > U ...(i)
Combining (i) and (ii),
We get L > U > Z or L > Z
Hence I follows.
Combining (ii) and (iv) we get K ≤ U < R or K < R Hence II follows.