M at position 4, N at position 5. S at position 7 (2nd from right in 8-person row). Between positions 5 and 7 = 1 person. Recount: positions 5 to 7, people between = position 6 only = 1 person. Check: S at 7, between 5 and 7 = just 6, that's 1 person.

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.

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.

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

Elegant implies grace; brutal implies cruelty. Synonymous relationship.

Red at (1,2) blocks row 1 and column 2. Green at (2,3) blocks row 2 and column 3. Blue at (3,1) blocks row 3 and column 1. Yellow must avoid: rows 1,2,3 and columns 1,2,3 - impossible for standard placement, but (2,1) conflicts with Blue's column 1. Rechecking: (1,3) at row 1 conflicts with Red's row. (2,1) at column 1 conflicts with Blue's column. Best option avoiding maximum conflicts: (2,1).

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).

My mother's only brother = my uncle. My uncle's son = my cousin. Therefore, the man in the photograph is the woman's cousin.

This is a series of perfect squares: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36, 7²=49, 8²=64. The missing number is 49.

M=7, A=8, T=9, H=2, E=0, M=7, A=8, T=9, I=6, C=5, S=3. For MATHS: M=7, A=8, T=9, H=2, S=3, giving 78923.