Q.1 Find the next number in the series: 2, 6, 12, 20, 30, ?
40
42
44
50
Explanation - The series follows n^2 + n: 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30, next is 6*7=42.
Correct answer is: 42
Q.2 Complete the series: 3, 9, 27, 81, ?
162
243
324
405
Explanation - Each term is multiplied by 3: 3*3=9, 9*3=27, 27*3=81, 81*3=243.
Correct answer is: 243
Q.3 Find the next number: 7, 14, 28, 56, ?
84
112
128
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.4 Complete the series: 1, 1, 2, 3, 5, 8, ?
11
12
13
15
Explanation - Fibonacci series: sum of two preceding terms: 5+8=13.
Correct answer is: 13
Q.5 Find the missing number: 5, 10, 20, 40, ?
60
70
80
90
Explanation - Each term is multiplied by 2: 5*2=10, 10*2=20, 20*2=40, 40*2=80.
Correct answer is: 80
Q.6 Complete the series: 11, 14, 19, 26, 35, ?
44
46
47
48
Explanation - The series increases by consecutive odd numbers: 11+3=14, 14+5=19, 19+7=26, 26+9=35, 35+11=46.
Correct answer is: 46
Q.7 Find the next term: 2, 4, 8, 16, ?
30
32
34
36
Explanation - Each term is multiplied by 2: 2*2=4, 4*2=8, 8*2=16, 16*2=32.
Correct answer is: 32
Q.8 Complete the series: 1, 4, 9, 16, 25, ?
30
35
36
40
Explanation - This is a series of squares: 1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25, 6^2=36.
Correct answer is: 36
Q.9 Find the missing number: 121, 144, 169, 196, ?
209
225
241
256
Explanation - These are consecutive squares: 11^2=121, 12^2=144, 13^2=169, 14^2=196, 15^2=225.
Correct answer is: 225
Q.10 Complete the series: 2, 6, 18, 54, ?
108
162
200
216
Explanation - Each term is multiplied by 3: 2*3=6, 6*3=18, 18*3=54, 54*3=162.
Correct answer is: 162
Q.11 Find the next number: 10, 20, 40, 80, ?
120
140
160
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.12 Complete the series: 5, 7, 11, 19, 35, ?
67
65
63
69
Explanation - Each term after the first is previous term*2 -1: 5*2-3=7, 7*2-3=11, 11*2-3=19, 19*2-3=35, next 35*2-3=67.
Correct answer is: 67
Q.13 Find the missing term: 1, 2, 6, 24, 120, ?
600
720
840
900
Explanation - This is a factorial series: 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
Correct answer is: 720
Q.14 Complete the series: 3, 6, 12, 24, ?
36
48
50
60
Explanation - Each term is multiplied by 2: 3*2=6, 6*2=12, 12*2=24, 24*2=48.
Correct answer is: 48
Q.15 Find the next number: 1, 3, 6, 10, 15, ?
18
20
21
22
Explanation - This is the triangular number series: n(n+1)/2. Next: 6*7/2=21.
Correct answer is: 21
Q.16 Complete the series: 13, 17, 25, 41, 73, ?
113
129
145
157
Explanation - Each term after the first is sum of previous two terms minus 1: 13+17-5=25, 17+25-1=41, 25+41-?=73, next: 41+73-?=129.
Correct answer is: 129
Q.17 Find the missing term: 2, 5, 10, 17, 26, ?
35
37
38
40
Explanation - Series follows 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.18 Complete the series: 1, 8, 27, 64, ?
100
125
150
200
Explanation - This is a cube series: 1^3=1, 2^3=8, 3^3=27, 4^3=64, 5^3=125.
Correct answer is: 125
Q.19 Find the next number: 2, 5, 10, 17, 26, 37, ?
48
49
50
51
Explanation - Series formula: n^2 +1: 1^2+1=2, 2^2+1=5, ..., 7^2+1=50.
Correct answer is: 50
Q.20 Complete the series: 101, 104, 109, 116, 125, ?
136
137
138
139
Explanation - Series increases by consecutive odd numbers: +3, +5, +7, +9, +11: next term 125+11=136.
Correct answer is: 136
Q.21 Find the missing term: 1, 4, 10, 19, 31, ?
44
45
46
48
Explanation - Differences: 3, 6, 9, 12,... next difference =15; 31+15=46.
Correct answer is: 46
Q.22 Complete the series: 2, 3, 5, 8, 12, 17, ?
22
23
24
25
Explanation - Series increases by consecutive natural numbers: +1, +2, +3, +4, +5, +6: next term 17+6=23.
Correct answer is: 23
Q.23 Find the next number: 1, 2, 4, 7, 11, 16, ?
20
21
22
23
Explanation - Series increases by consecutive natural numbers: +1, +2, +3, +4, +5, +6: next term 16+6=22.
Correct answer is: 22
Q.24 Complete the series: 3, 6, 11, 18, 27, ?
36
37
38
39
Explanation - Series difference: 3, 5, 7, 9,... next difference=11; 27+11=38.
Correct answer is: 38