Find the missing number: 2, 6, 12, 20, 30, ?

The correct answer is B: 42. Series follows pattern n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42

If some poets are writers and all writers are artists, which conclusion is definitely true?

The correct answer is A: Some poets are artists. Some poets are writers, and all writers are artists. Therefore, at least some poets must be artists (through the writer category).

If CAT = 3, DOG = 3, ELEPHANT = 4, then ZEBRA = ?

The correct answer is B: 5. 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. Z

Five people sit in a row: P, Q, R, S, T. Q is to the right of P. S is to the left of R. T is at the rightmost end. R is immediately to the right of Q. What is the correct arrangement?

The correct answer is C: S P Q R T. From constraints: R is immediately right of Q, T is rightmost, S is left of R. So: S-P-Q-R-T satisfies all conditions

In a code language, MACHINE is written as 13-1-3-8-9-14-5. How is PROGRAM written?

The correct answer is A: 16-18-15-7-18-1-13. Each letter is coded by its position in the alphabet (A=1, B=2, ... Z=26). M=13, A=1, C=3, H=8, I=9, N=14, E=5. Similarly, P=16, R=18, O=15, G=7, R=18, A=1, M=13.