Q1): Find the next term in the series: 2, 6, 12, 20, 30, ?
A) 40
B) 41
C) 42
D) 44
Answer: C) 42
Explanation: The pattern is based on consecutive products:
2 = 1×2, 6 = 2×3, 12 = 3×4, 20 = 4×5, 30 = 5×6.
So the next term is 6×7 = 42.
Q2): Find the missing term in the series: 3, 7, 15, __, 63
A) 27
B) 29
C) 31
D) 33
Answer: B) 31
Explanation: Each term follows “×2 + 1”:
3×2+1=7, 7×2+1=15, so next = 15×2+1 = 30+1 = 31.
Then 31×2+1 = 63, so the missing term is correct.
Q3): Find the wrong term in the series: 5, 11, 23, 47, 95
A) 11
B) 23
C) 47
D) 95
Answer: D) 95
Explanation: The pattern should be “×2 + 1”:
5×2+1=11, 11×2+1=23, 23×2+1=47.
Next should be 47×2+1 = 94+1 = 95.
This looks correct, so check another possibility: “×2 + 1” is consistent for all terms.
But in many exam series, the intended pattern is “×2 + 1” until 47, and then next should be 95, which matches.
So there is no wrong term under this rule. Therefore, we must test an alternative common rule: differences.
11−5=6, 23−11=12, 47−23=24, 95−47=48 (differences double each time). This also matches perfectly.
So no term is wrong. Since options require one, the best conclusion is: Question is invalid as all terms follow the same pattern.
(For exam quality, treat D) 95 as “not fitting” only if the last term was expected to be 96 in a pure doubling pattern, but here it is consistent.)
Q4): Find the next term in the series: 1, 4, 10, 19, 31, ?
A) 44
B) 45
C) 46
D) 47
Answer: B) 45
Explanation: Look at differences:
4−1=3, 10−4=6, 19−10=9, 31−19=12.
Differences are increasing by +3 each time (3, 6, 9, 12).
Next difference = 15, so next term = 31 + 15 = 46.
But option 46 is C. Let us re-check:
Actually 31−19 = 12 is correct. Next should be 31+15 = 46.
So the correct answer is C) 46.
Answer: C) 46
Explanation: Differences are 3, 6, 9, 12 (increase by 3). Next difference is 15, so 31+15=46.
Q5): Find the missing term in the series: 8, 13, 23, 38, __, 83
A) 53
B) 55
C) 57
D) 58
Answer: A) 53
Explanation: Look at differences:
13−8=5, 23−13=10, 38−23=15.
Differences increase by +5 each time (5, 10, 15).
Next difference = 20, so missing term = 38 + 20 = 58.
Then next difference should be 25, so 58 + 25 = 83.
So the missing term is 58, which is option D.
Answer: D) 58
Explanation: Differences are 5, 10, 15, 20, 25. So missing term is 38+20=58 and 58+25=83.
Q6): Find the next term in the series: 2, 9, 28, 65, ?
A) 120
B) 126
C) 130
D) 133
Answer: B) 126
Explanation: Each term matches n³ + 1:
1³+1=2, 2³+1=9, 3³+1=28, 4³+1=65.
Next = 5³+1 = 125+1 = 126.
Q7): Find the wrong term in the series: 4, 9, 19, 39, 79
A) 9
B) 19
C) 39
D) 79
Answer: A) 9
Explanation: The pattern should be “×2 + 1”:
4×2+1=9 (fits), 9×2+1=19 (fits), 19×2+1=39 (fits), 39×2+1=79 (fits).
So all fit again. Let us test differences: 5, 10, 20, 40 (doubling). That also fits.
So there is no wrong term. To avoid invalidity in practice, interpret “wrong term” as the one that would break if the first term were 5 instead of 4, but that is not valid.
Conclusion: This series is consistent; no wrong term exists.
Answer: None (All terms follow a valid pattern)
Explanation: Differences are 5, 10, 20, 40 (doubling), and also each term is previous×2+1. So no term is wrong.
Q8): Find the next term in the series: 15, 30, 28, 56, 54, ?
A) 108
B) 110
C) 112
D) 114
Answer: A) 108
Explanation: The pattern alternates “×2” and “−2”:
15×2=30, 30−2=28, 28×2=56, 56−2=54, so next = 54×2 = 108.
Q9): Find the missing term in the series: 6, 16, 36, __, 96
A) 56
B) 60
C) 64
D) 66
Answer: A) 56
Explanation: Differences:
16−6=10, 36−16=20. The differences are increasing by 10.
Next difference should be 30, so missing term = 36 + 30 = 66.
Then next difference should be 40, so 66 + 40 = 106, not 96.
So this is not correct. Try another pattern: each term = n² + n?
6 = 2²+2, 16 = 4²+0 not matching.
Try pattern: 6=2×3, 16=4×4, 36=6×6 suggests squares but not.
Let us try: 6= (1×5)+1, not.
A better approach: see if terms are of form (n² + 5):
6=1²+5, 16=√11 not.
Given options, check a simple rule: add consecutive even numbers: +10, +20, +30, +40 would give 6,16,36,66,106. Not.
Add consecutive multiples of 8? Not.
Try “×2 +4, ×2 +4…”: 6×2+4=16, 16×2+4=36, 36×2+4=76, 76×2+4=156 not.
So the series is inconsistent with 96 as last term.
Conclusion: Question is invalid as given.
Answer: None (Series inconsistent)
Explanation: No single clean medium-level rule fits all terms and ends at 96. This indicates a flawed series.
Q10): Find the next term in the series: 7, 17, 37, 77, ?
A) 147
B) 155
C) 157
D) 167
Answer: C) 157
Explanation: Each term is “previous ×2 + 3”:
7×2+3=17, 17×2+3=37, 37×2+3=77.
So next = 77×2+3 = 154+3 = 157.
Q11): Find the missing term in the series: 1, 3, 7, 15, __, 63
A) 27
B) 29
C) 31
D) 33
Answer: C) 31
Explanation: The pattern is “×2 + 1”:
1×2+1=3, 3×2+1=7, 7×2+1=15, so next = 15×2+1 = 31.
Then 31×2+1 = 63, which matches.
Q12): Find the next term in the series: 10, 22, 46, 94, ?
A) 186
B) 188
C) 190
D) 192
Answer: B) 188
Explanation: Each term follows “×2 + 2”:
10×2+2=22, 22×2+2=46, 46×2+2=94.
So next = 94×2+2 = 188+? Actually 94×2=188, then +2 = 190.
So the correct answer is C) 190.
Answer: C) 190
Explanation: Multiply by 2 and add 2 each time: 94×2+2=190.
Q13): Find the wrong term in the series: 2, 5, 10, 17, 26, 37
A) 10
B) 17
C) 26
D) 37
Answer: D) 37
Explanation: The pattern is adding consecutive odd numbers:
2+3=5, 5+5=10, 10+7=17, 17+9=26.
Next should be +11, so 26+11 = 37. That matches, so all are correct.
Try pattern n²+1: 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26, 6²+1=37.
It is perfectly consistent. So there is no wrong term.
Answer: None (All terms follow n²+1)
Explanation: The series is n²+1 for n = 1 to 6, so no term is wrong.
Q14): Find the next term in the series: 81, 27, 9, 3, ?
A) 1
B) 2
C) 0
D) 6
Answer: A) 1
Explanation: Each term is divided by 3:
81÷3=27, 27÷3=9, 9÷3=3, so next = 3÷3 = 1.
Q15): Find the missing term in the series: 4, 12, 13, 39, 40, __
A) 118
B) 119
C) 120
D) 121
Answer: B) 119
Explanation: The pattern alternates “×3” and “+1”:
4×3=12, 12+1=13, 13×3=39, 39+1=40, so next = 40×3 = 120.
So the missing term should be 120, which is option C.
Answer: C) 120
Explanation: Alternating operations: ×3, +1, ×3, +1, so next is 40×3=120.
Q16): Find the next term in the series: 5, 6, 9, 16, 29, ?
A) 40
B) 44
C) 45
D) 46
Answer: D) 46
Explanation: Look at the differences:
6−5=1, 9−6=3, 16−9=7, 29−16=13.
These differences increase by +2, +4, +6 (1→3 is +2, 3→7 is +4, 7→13 is +6).
So the next increase should be +8, making next difference = 13 + 8 = 21.
Next term = 29 + 21 = 50, but 50 is not in options.
So try another pattern: each term = previous + (previous term from earlier) ?
Check: 9=5+4 not, 16=6+10 not.
This series is not resolving cleanly to 46 with a standard medium rule.
Conclusion: Given options do not match a clean pattern, so question is inconsistent.
Answer: None (Options do not match a clean pattern)
Explanation: Differences do not produce any option as the next term, indicating the set is flawed.
Q17): Find the next term in the series: 1, 2, 6, 24, 120, ?
A) 240
B) 600
C) 720
D) 840
Answer: C) 720
Explanation: This is the factorial series:
1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120.
Next is 6! = 720.
Q18): Find the wrong term in the series: 14, 28, 56, 110, 224
A) 56
B) 110
C) 224
D) 28
Answer: B) 110
Explanation: The expected pattern is doubling:
14×2=28, 28×2=56, 56×2=112, 112×2=224.
But the series has 110 instead of 112. So 110 is the wrong term.
Q19): Find the missing term in the series: 9, 11, 15, 23, __, 59
A) 33
B) 35
C) 37
D) 39
Answer: C) 37
Explanation: Differences are:
11−9=2, 15−11=4, 23−15=8. These differences are doubling (2, 4, 8).
Next difference should be 16, so missing term = 23 + 16 = 39.
Then next difference should be 32, so 39 + 32 = 71, not 59.
So doubling differences does not fit.
Try pattern: add consecutive even numbers but skipping: 2, 4, 8, 14, 22? Not.
Given 59 at end, test option C=37: 59−37=22.
So differences become 2,4,8,14,22 (increments +2, +4, +6, +8).
Check: 2 to 4 (+2), 4 to 8 (+4), 8 to 14 (+6), 14 to 22 (+8). This is consistent.
So missing term must make difference 14 from 23: 23+14 = 37. Then 37+22 = 59. Correct.
Q20): Find the next term in the series: 3, 8, 18, 38, 78, ?
A) 138
B) 148
C) 158
D) 168
Answer: C) 158
Explanation: Each term follows “×2 + 2”:
3×2+2=8, 8×2+2=18, 18×2+2=38, 38×2+2=78.
So next = 78×2+2 = 156+2 = 158.