Each letter is converted to its position in the alphabet (A=1, B=2, ... Z=26). G=7, U=21, J=10, A=1, R=18, T=20.

Position from right = Total students - Position from left + 1 = 50 - 18 + 1 = 33.

Net displacement North = 10 - 10 = 0 km. Net displacement East = 15 km. Distance from starting point = 15 km.

By transitivity: A > B, B > C implies A > C. A > C, C > D implies A > D.

Total age of 5 members = 32 × 5 = 160 years. Total age of remaining 4 = 160 - 10 = 150 years.

The pattern is n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56.

Since C is between A and D, the arrangement must be A-C-D or D-C-A. B cannot be at the end, so B must be in position 2. Arrangements: A-B-C-D or D-C-B-A, but C must be between A and D. Only A-C-D arrangement works with B in position 2: This doesn't work. Actually: D-C-A-B or A-C-D-B or similar. C is definitely in a middle position.

We cannot determine if roses are red from the given statements. Roses are flowers, but only 'some' flowers are red, not all. Therefore, we cannot make a definitive statement about roses being red.

At 3:00, the minute hand points to 12 and the hour hand points to 3. The angle between them is 90°.

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