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1.  
12, 13, 17, 26, 42, ?

Correct Answer: D [67]

Explanation:

+1², +2², +3², +4², +5²: 42 + 25 = 67.

2.  
2, 3, 11, 38, 102, ?

Correct Answer: E [227]

Explanation:

+1³, +2³, +3³, +4³, +5³: 102 + 125 = 227.

3.  
2, 3, 8, 27, 112, ?

Correct Answer: C [565]

Explanation:

× 1 + 1, × 2 + 2, × 3 + 3, × 4 + 4, × 5 + 5: 112 × 5 + 5 = 565.

4.  
3600, 1800, 600, 150, 30, ?

Correct Answer: A [5]

Explanation:

Divide by 2, 3, 4, 5, 6: 30 ÷ 6 = 5.

5.  
32, 48, 72, 108, 162, ?

Correct Answer: B [243]

Explanation:

× 1.5 each time: 162 × 1.5 = 243.

6.  
Find the wrong number: 4, 11, 25, 54, 109, 221

Correct Answer: A [54]

Explanation:

× 2 + 3 gives odd numbers: 25 × 2 + 3 = 53, not 54; 53 × 2 + 3 = 109 ✓.

7.  
Find the wrong number: 3, 5, 9, 17, 33, 67, 129

Correct Answer: D [67]

Explanation:

Differences 2, 4, 8, 16, 32, 64: 33 + 32 = 65, not 67.

8.  
Find the wrong number: 1, 4, 9, 16, 26, 36, 49

Correct Answer: C [26]

Explanation:

Squares 1², 2², …, 7²: 5² = 25, not 26.

9.  
2, 7, ?, 67, 202, 607

Correct Answer: E [22]

Explanation:

× 3 + 1: 7 × 3 + 1 = 22 and 22 × 3 + 1 = 67 ✓.

10.  
3, 9, 7, 21, 19, 57, ?

Correct Answer: B [55]

Explanation:

× 3 and − 2 take turns: 57 − 2 = 55.

11.  
3, 60, 6, 54, 12, 48, 24, ?

Correct Answer: A [42]

Explanation:

Even places 60, 54, 48, 42 (− 6); odd places × 2.

12.  
3, 5, 7, 11, 17, 27, ?

Correct Answer: B [43]

Explanation:

Each term = previous two − 1: 17 + 27 − 1 = 43.

13.  
4, 7, 12, 19, 28, 39, ?

Correct Answer: C [52]

Explanation:

n² + 3: 7² + 3 = 52.

14.  
6, 25, 62, 123, 214, ?

Correct Answer: D [341]

Explanation:

n³ − 2: 7³ − 2 = 341.

15.  
20, 22, 25, 30, 37, 48, ?

Correct Answer: E [61]

Explanation:

Differences are primes 2, 3, 5, 7, 11, 13: 48 + 13 = 61.

16.  
Quantity I: the next term of 1, 2, 6, 24, 120
Quantity II: the next term of 5, 25, 125, 625

Correct Answer: B [Quantity I < Quantity II]

Explanation:

I: × 2, × 3, × 4, × 5, × 6 → 720.

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