Q.1 1, 4, 9, 16, 25, ?
30
36
49
50
Explanation - The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2, so the next term is 6^2 = 36.
Correct answer is: 36
Q.2 2, 6, 12, 20, 30, ?
40
42
50
60
Explanation - The series adds consecutive even numbers: 2+4=6, 6+6=12, 12+8=20, 20+10=30, 30+12=42.
Correct answer is: 42
Q.3 5, 10, 20, 40, ?
50
60
80
100
Explanation - Each term is multiplied by 2: 5*2=10, 10*2=20, 20*2=40, 40*2=80.
Correct answer is: 80
Q.4 3, 9, 27, 81, ?
108
162
243
324
Explanation - Each term is multiplied by 3: 3*3=9, 9*3=27, 27*3=81, 81*3=243.
Correct answer is: 243
Q.5 1, 1, 2, 3, 5, 8, ?
11
12
13
15
Explanation - Fibonacci series where each term is the sum of the previous two: 5+8=13.
Correct answer is: 13
Q.6 2, 5, 10, 17, 26, ?
35
36
37
38
Explanation - The pattern is n^2 + 1: 1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26, 6^2+1=37.
Correct answer is: 37
Q.7 7, 14, 28, 56, ?
70
84
112
128
Explanation - Each term is multiplied by 2: 7*2=14, 14*2=28, 28*2=56, 56*2=112.
Correct answer is: 112
Q.8 1, 2, 6, 24, 120, ?
600
720
840
1000
Explanation - Factorial series: 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
Correct answer is: 720
Q.9 11, 13, 17, 23, 31, ?
37
41
43
47
Explanation - Series of consecutive prime numbers: 11, 13, 17, 23, 31, next prime is 41.
Correct answer is: 41
Q.10 1, 3, 7, 15, 31, ?
47
49
63
64
Explanation - Pattern: Each term = 2*previous + 1. 31*2 + 1 = 63.
Correct answer is: 63
Q.11 2, 4, 8, 32, 256, ?
8192
1024
2048
4096
Explanation - Pattern: powers with factorial exponent: 2^1=2, 2^2=4, 2^3=8, 2^5=32, 2^8=256, 2^13=8192.
Correct answer is: 8192
Q.12 5, 9, 17, 33, 65, ?
97
129
131
137
Explanation - Pattern: Multiply by 2 and subtract 1: 5*2-1=9, 9*2-1=17, 17*2-1=33, 33*2-1=65, 65*2-1=129.
Correct answer is: 129
Q.13 2, 4, 12, 16, 30, 36, ?
65
49
50
56
Explanation - Pattern: Alternating between n^2 and n^2+n: 1^2+1=2, 2^2=4, 3^2+3=12, 4^2=16 etc. Next term = 7^2+7=56.
Correct answer is: 56
Q.14 100, 90, 80, 70, ?
50
60
65
75
Explanation - Decreasing arithmetic sequence by 10: 100-10=90, 90-10=80, 80-10=70, 70-10=60.
Correct answer is: 60
Q.15 1, 8, 27, 64, ?
81
100
125
216
Explanation - Cubic numbers: 1^3=1, 2^3=8, 3^3=27, 4^3=64, 5^3=125.
Correct answer is: 125
Q.16 2, 3, 5, 9, 17, ?
31
33
34
35
Explanation - Each term = previous term*2 - 1: 17*2-1=33.
Correct answer is: 33
Q.17 1, 1, 2, 6, 24, ?
48
120
720
1440
Explanation - Factorial series: 1!, 1!, 2!, 3!, 4!, 5! = 120.
Correct answer is: 120
Q.18 3, 6, 12, 24, 48, ?
72
84
96
100
Explanation - Geometric progression: multiply by 2 each time.
Correct answer is: 96
Q.19 10, 20, 40, 80, ?
100
120
160
200
Explanation - Each term is multiplied by 2: 10*2=20, 20*2=40, 40*2=80, 80*2=160.
Correct answer is: 160
Q.20 1, 2, 6, 24, 120, ?
720
840
960
1000
Explanation - Factorial series: 1!, 2!, 3!, 4!, 5!, 6! = 720.
Correct answer is: 720
Q.21 2, 4, 12, 48, ?
96
144
192
240
Explanation - Pattern: multiply by 2, then by 3, then by 4: 2*2=4, 4*3=12, 12*4=48, 48*4=192.
Correct answer is: 192
Q.22 1, 2, 4, 8, 16, ?
32
24
30
28
Explanation - Geometric progression: multiply by 2 each time.
Correct answer is: 32
Q.23 1, 4, 10, 20, 35, ?
56
55
60
65
Explanation - Pattern: Triangular numbers plus n^2: 1, 4, 10, 20, 35, next = 56.
Correct answer is: 56
Q.24 6, 11, 21, 41, 81, ?
101
121
161
162
Explanation - Each term doubles the previous term minus 1: 6*2-1=11, 11*2-1=21, etc.
Correct answer is: 161