Q1. 2, 6, 18, 54, ?
A. 108 B. 162 C. 216 D. 324
Answer: B — Each term × 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162.
Q2. 1, 4, 9, 16, 25, ?
A. 30 B. 35 C. 36 D. 49
Answer: C — Perfect squares: 1², 2², 3², 4², 5², 6²=36.
Q3. 3, 7, 13, 21, 31, ?
A. 41 B. 43 C. 45 D. 47
Answer: B — Differences: 4, 6, 8, 10, 12 (increasing by 2). 31+12=43.
Q4. 100, 50, 25, 12.5, ?
A. 5 B. 6 C. 6.25 D. 7.5
Answer: C — Each term ÷ 2. 12.5 ÷ 2 = 6.25.
Q5. 1, 1, 2, 3, 5, 8, 13, ?
A. 18 B. 21 C. 23 D. 26
Answer: B — Fibonacci series: each term = sum of previous two. 8+13=21.
Q6. 5, 11, 23, 47, 95, ?
A. 189 B. 191 C. 193 D. 185
Answer: B — Each term = previous × 2 + 1. 95×2+1=191.
Q7. 0, 6, 24, 60, 120, ?
A. 180 B. 200 C. 210 D. 240
Answer: C — Pattern: n³ - n = n(n²-1). n=1:0, n=2:6, n=3:24, n=4:60, n=5:120, n=6:210.
Q8. 121, 144, 169, 196, ?
A. 215 B. 225 C. 256 D. 289
Answer: B — 11², 12², 13², 14², 15²=225.
Q9. 7, 14, 28, 56, ?
A. 112 B. 100 C. 98 D. 84
Answer: A — Each term × 2: 56×2=112.
Q10. 1, 8, 27, 64, 125, ?
A. 196 B. 216 C. 225 D. 250
Answer: B — Perfect cubes: 1³,2³,3³,4³,5³,6³=216.
Q11. 4, 8, 24, 96, ?
A. 288 B. 384 C. 480 D. 576
Answer: C — ×2, ×3, ×4, ×5: 96×5=480.
Q12. 2, 3, 5, 7, 11, 13, ?
A. 15 B. 16 C. 17 D. 19
Answer: C — Prime number series. Next prime after 13 is 17.
Q13. 10, 20, 30, 40, 50, ?
A. 55 B. 60 C. 70 D. 80
Answer: B — Arithmetic progression with common difference 10. 50+10=60.
Q14. 3, 6, 11, 18, 27, ?
A. 36 B. 38 C. 40 D. 38
Answer: B — Differences: 3, 5, 7, 9, 11 (odd numbers). 27+11=38.
Q15. 729, 243, 81, 27, ?
A. 3 B. 9 C. 6 D. 12
Answer: B — Divide by 3 each time. 27÷3=9.
Q16. 1, 2, 4, 7, 11, 16, ?
A. 20 B. 21 C. 22 D. 23
Answer: C — Differences: 1, 2, 3, 4, 5, 6. 16+6=22.
Q17. 5, 10, 20, 40, 80, ?
A. 120 B. 140 C. 160 D. 200
Answer: C — Geometric progression × 2. 80×2=160.
Q18. 100, 95, 85, 70, 50, ?
A. 20 B. 25 C. 30 D. 35
Answer: B — Differences: 5, 10, 15, 20, 25 (increasing by 5). 50-25=25.
Q19. 2, 5, 10, 17, 26, ?
A. 35 B. 36 C. 37 D. 38
Answer: C — n²+1: 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26, 6²+1=37.
Q20. 64, 32, 16, 8, 4, ?
A. 1 B. 2 C. 3 D. 0
Answer: B — Divide by 2 each time. 4÷2=2.