The differences are: 6-2=4, 12-6=6, 20-12=8, 30-20=10, 42-30=12. The differences increase by 2 each time. Next difference should be 14, so 42+14=56.

CAR becomes CARE by adding E. FIRE becomes FIRED by adding D. The pattern is adding a suffix letter to the end of the word. FIRED completes this analogy.

From Z ≤ W, we directly get W ≥ Z. The relationships X ≥ Y, Y > Z don't establish a definite relationship between X and W, making option B the only statement that must be true.

Pattern: ×2+1: 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95

Count of vowels: CAT(A)=1, DOG(O)=1, ELEPHANT(E,A)=2, ZEBRA(E,A)=2. Actually, ZEBRA has E and A = 2 vowels. Wait - checking again: Z-E-B-R-A has E,A = 2. Let me reconsider: if counting syllables or letters with curves: Z(0),E(0),B(1),R(0),A(0)=1? Pattern might be unique letters or vowel positions. ZEBRA = 5 letters.

A>B>C=D and D<E. We know C and D are same height, and both less than B. But E's relation to C/D is unclear. Cannot determine if E is shortest or C/D.

In circular arrangement, if left distance is 2, right distance = Total - left distance = 8 - 2 = 6

Some poets are writers, and all writers are artists. Therefore, at least some poets must be artists (through the writer category).

Pen is a tool used for Writing. Knife is a tool used for Cutting. The relationship is Tool to Action.

Pattern: n² + 1: 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26, 6²+1=37