Q.1 Find the next number in the series: 2, 6, 12, 20, 30, ?
36
40
42
44
Explanation - The series follows the pattern n(n+1), where n=1,2,3,... → 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30, 6*7=42.
Correct answer is: 42
Q.2 Complete the series: 3, 9, 27, 81, ?
108
162
243
324
Explanation - Each term is multiplied by 3 to get the next term → 3*3=9, 9*3=27, 27*3=81, 81*3=243.
Correct answer is: 243
Q.3 Find the missing number: 5, 10, 20, 40, ?
60
70
80
100
Explanation - Each number is multiplied by 2 → 5*2=10, 10*2=20, 20*2=40, 40*2=80.
Correct answer is: 80
Q.4 Complete the series: 1, 1, 2, 3, 5, 8, ?
10
11
12
13
Explanation - This is the Fibonacci series, where each term is the sum of the two preceding terms → 5+8=13.
Correct answer is: 13
Q.5 Find the next number: 7, 14, 28, 56, ?
98
100
112
120
Explanation - Each term is multiplied by 2 → 7*2=14, 14*2=28, 28*2=56, 56*2=112.
Correct answer is: 112
Q.6 Complete the series: 2, 3, 5, 8, 12, ?
16
17
18
19
Explanation - The differences between terms increase by 1 → 3-2=1, 5-3=2, 8-5=3, 12-8=4, next difference=5, 12+5=17.
Correct answer is: 17
Q.7 Find the missing number: 10, 20, 40, 80, ?
120
160
200
180
Explanation - Each term is multiplied by 2 → 10*2=20, 20*2=40, 40*2=80, 80*2=160.
Correct answer is: 160
Q.8 Complete the series: 1, 4, 9, 16, 25, ?
30
36
35
40
Explanation - The series contains perfect squares → 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36.
Correct answer is: 36
Q.9 Find the next number: 11, 22, 33, 44, ?
50
55
60
66
Explanation - The series increases by 11 each time → 11+11=22, 22+11=33, 33+11=44, 44+11=55.
Correct answer is: 55
Q.10 Complete the series: 1, 2, 6, 24, 120, ?
600
720
7200
1200
Explanation - The series is factorial → 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
Correct answer is: 720
Q.11 Find the missing number: 100, 50, 25, 12.5, ?
6.5
6.25
6
5.5
Explanation - Each term is divided by 2 → 100/2=50, 50/2=25, 25/2=12.5, 12.5/2=6.25.
Correct answer is: 6.25
Q.12 Complete the series: 2, 4, 8, 32, ?
64
128
256
512
Explanation - The pattern: multiply by 2, then by 2, then by 4 → 2*2=4, 4*2=8, 8*4=32, 32*8=256.
Correct answer is: 256
Q.13 Find the next number: 5, 11, 23, 47, ?
93
95
97
99
Explanation - Each term roughly doubles and adds 1 → 5*2+1=11, 11*2+1=23, 23*2+1=47, 47*2+1=95.
Correct answer is: 95
Q.14 Complete the series: 1, 8, 27, 64, ?
100
125
150
200
Explanation - The series consists of cubes → 1³=1, 2³=8, 3³=27, 4³=64, 5³=125.
Correct answer is: 125
Q.15 Find the missing number: 2, 5, 10, 17, 26, ?
35
37
38
39
Explanation - The pattern is n²+1 → 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26, 6²+1=37.
Correct answer is: 37
Q.16 Complete the series: 1, 2, 4, 7, 11, ?
15
16
17
18
Explanation - The differences increase by 1 → 2-1=1, 4-2=2, 7-4=3, 11-7=4, next difference=5, 11+5=16.
Correct answer is: 16
Q.17 Find the next number: 3, 6, 18, 72, ?
216
288
324
360
Explanation - The pattern multiplies by increasing integers → 3*2=6, 6*3=18, 18*4=72, 72*4=288.
Correct answer is: 288
Q.18 Complete the series: 2, 5, 10, 17, 26, ?
34
37
38
39
Explanation - Pattern: n²+1 → 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26, 6²+1=37.
Correct answer is: 37
Q.19 Find the missing number: 1, 3, 6, 10, 15, ?
20
21
22
23
Explanation - This is the series of triangular numbers → 1, 3, 6, 10, 15, next=21.
Correct answer is: 21
Q.20 Complete the series: 4, 6, 9, 13, 18, ?
24
25
26
27
Explanation - The differences increase by 1 → 6-4=2, 9-6=3, 13-9=4, 18-13=5, next difference=6, 18+6=24.
Correct answer is: 24
Q.21 Find the next number: 2, 6, 18, 54, ?
108
162
216
324
Explanation - Each term is multiplied by 3 → 2*3=6, 6*3=18, 18*3=54, 54*3=162.
Correct answer is: 162
Q.22 Complete the series: 1, 4, 5, 16, 17, 64, ?
65
128
81
100
Explanation - The pattern alternates → square number then add 1 → 1²=1, +3=4, 4+1=5, 4²=16, +1=17, 8²=64, +1=65.
Correct answer is: 65
Q.23 Find the missing number: 1, 8, 15, 22, ?
27
28
29
30
Explanation - The difference between terms is constant → 8-1=7, 15-8=7, 22-15=7, next=22+7=29.
Correct answer is: 29