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This is the Fibonacci sequence where each number is sum of previous two. 8+13=21. Then 13+21=34.

Red < Blue. Yellow < Green. Red < Black < Green. Testing: Yellow(1), Red(2), Black(3), Green(4), Blue(5). Check: Red<Blue✓, Yellow<Green✓, Red<Black<Green✓. This satisfies all conditions.

D=4, E=5, A=1, R=18 (position from end of alphabet: D=23→4, E=22→5, A=26→1, R=9→18). For CARE: C=3, A=1, R=18, E=5 = 3-1-18-5.

Differences: 4, 6, 8, 10, 12, 14, 16. Pattern increases by 2 each time. 42 + 14 = 56. Next would be 56 + 16 = 72.

From 'All writers are creative' and 'Some creative people are teachers', we cannot definitively conclude whether any teachers are writers. Teachers could be creative without being writers. The conclusion is uncertain.

In circular arrangement with 6 people: B opposite E means 3 seats apart. A right of B. C between D and F means F-C-D or D-C-F. Testing positions: B at 1, A at 2 (right), E at 4 (opposite). Remaining D,C,F for 3,5,6. If D at 3, C at 5, F at 6: C is left of D. If D at 6, C at 3, F at 5: F is left of D. Checking constraint 'C between D and F': F(6)-C(5)-D(3) works in circular. Left of D(3) is C(5).

Elegant implies grace; brutal implies cruelty. Synonymous relationship.

Differences: +1, +2, +3, +4, +5, +6. Next: 17+6=23

P is Q's son. Q is R's mother, so P is R's uncle. R is S's father, so P is S's uncle.

First statement guarantees all politicians are ambitious, but second statement only guarantees some ambitious are honest, not all. Statement A assumes all are honest - not necessarily true.