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1 × 1 + 3 = 4
4 × 2 + 6 = 14
14 × 3 + 9 = 51
51 × 4 + 12 = 216
216 × 5 + 15 = 1095
1095 × 6 + 18 = 6588
13 + 63 + 1 = 230
230 – 53 + 1 = 106
106 + 43 + 1 = 171
171 – 33 + 1 = 145
145 + 23 + 1 = 154
154 – 13 + 1 = 154
Series given here is based on the difference of squares of a prime number and that prime number as shown below:
132 – 13 = 156
172 – 17 = 272
192 – 19 = 342
232 – 23 = 506
292 – 29 = 812
312 – 31 = 930
∴ The missing number is 930
Hence, the answer is option E.
Pattern of the series is as follows:
43 + 4 = 68
62 + 6 = 42
83 + 8 = 520
102 + 10 = 110
123 + 12 = 1740
142 + 14 = 210
∴ The missing number is 210
Hence, the answer is option A.
35, 80, 63, 120, ?, 168
72 – 14 = 35
82 + 16 = 80
92 – 18 = 63
102 + 20 = 120
112 – 22 = 99
122 + 24 = 168
∴ The missing number = 99
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Wrong (-)
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