Directions (Qs. 1 - 17): Find the MISSING term in the given series.
1. 5, 25, ........, 425, 1705, 6825
A) 176 B) 151 C) 105
D) 897 E) 135
Sol: 5 × 4 + 5 = 25
25 × 4 + 5 = 105
105 × 4 + 5 = 425
425 × 4 + 5 = 1705
1705 × 4 + 5 = 6825
Ans: C
2. 370, 380, 400, 430, ? , 520
A) 510 B) 500 C) 450
D) 470 E) 540
Sol: 370 + 10 = 380
380 + 20 = 400
400 + 30 = 430
430 + 40 = 470
470 + 50 = 520
Ans: D
3. 10, 80, 560, ?, 16800, 67200
A) 3360 B) 2500 C) 1980
D) 2400 E) 3000
Sol: 10 × 8 = 80
80 × 7 = 560
560 × 6 = 3360
3360 × 5 = 16,800
16,800 × 4 = 67,200
Ans: A
4. 400, 336, 287, 251, 226, ........, 201
A) 180 B) 265 C) 210
D) 190 E) 150
Sol: 400 − 82 = 336
336 − 72 = 287
287 − 62 = 251
251 − 52 = 226
226 − 42 = 210
210 − 32 = 201
Ans: C
5. 40, 47, 58, 73, 92, ........, 142
A) 100 B) 115 C) 130
D) 125 E) 170
Sol: 40 + 7 = 47
47 + 11 = 58
58 + 15 = 73
73 + 19 = 92
92 + 23 = 115
115 + 27 = 142
Ans: B
6. 10, 33, 102, 309, ........, 2793, 8382
A) 1020 B) 1880 C) 930
D) 867 E) 700
Sol: 10 × 3 + 3 = 33
33 × 3 + 3 = 102
102 × 3 + 3 = 309
309 × 3 + 3 = 930
930 × 3 + 3 = 2793
2793 × 3 + 3 = 8382
Ans: C
7. 50, ........, 438, 1311, 3930, 11787
A) 96 B) 94 C) 152 D) 147 E) 120
Sol: 50 × 3 − 3 = 147
147 × 3 − 3 = 438
438 × 3 − 3 = 1311
1311 × 3 − 3 = 3930
3930 × 3 − 3 = 11787
Ans: D
8. 16, 35, ........, 149, 301, 605
A) 60 B) 40 C) 73 D) 75 E) 50
Sol: 16 × 2 + 3 = 35
35 × 2 + 3 = 73
73 × 2 + 3 = 149
149 × 2 + 3 = 301
301 × 2 + 3 = 605
Ans: C
9. 40, 118, 352, ........, 3160, 9478
A) 1265 B) 1071 C) 1280
D) 1054 E) 1050
Sol: 40 × 3 − 2 = 118
118 × 3 − 2 = 352
352 × 3 − 2 = 1054
1054 × 3 − 2 = 3160
3160 × 3 − 2 = 9478
Ans: D
10. 16, 20, 36, 56, 92, 148, 210, .........
A) 404 B) 414 C) 340
D) 388 E) 200
Sol: 16 + 20 = 36
20 + 36 = 56
36 + 56 = 92
56 + 92 = 148
92 + 148 = 240
148 + 240 = 388
Ans: D
11. 10, 40, ........, 400, 1210, 3640, 10930
A) 2040 B) 1050 C) 560
D) 130 E) 400
Sol: 10 × 3 + 10 = 40
40 × 3 + 10 = 130
130 × 3 + 10 = 400
400 × 3 + 10 = 1210
1210 × 3 + 10 = 3640
3640 × 3 + 10 = 10930
Ans: D
12. 50, 131, 195, 244, 280, 305, .........
A) 312 B) 311 C) 314
D) 321 E) 334
Sol: 50 + 92 = 131
131 + 82 = 195
195 + 72 = 244
244 + 62 = 280
280 + 52 = 305
305 + 42 = 321
Ans: D
13. 30, 32, 67, 205, ......., 4131
A) 242 B) 462 C) 254 D) 825 E) 530
Sol: 30 × 1 + 2 = 32
32 × 2 + 3 = 67
67 × 3 + 4 = 205
205 × 4 + 5 = 825
825 × 5 + 6 = 4131
Ans: D
14. 12, 40, ........, 376, 1132, 3400
A) 287 B) 297 C) 107 D) 124 E) 130
Sol: 12 × 3 + 4 = 40
40 × 3 + 4 = 124
124 × 3 + 4 = 376
376 × 3 + 4 = 1132
1132 × 3 + 4 = 3400
Ans: D
15. 40, 87, 181, 369, 745, 1497, .........
A) 3001 B) 3130 C) 3030
D) 3240 E) 3540
Sol: 40 × 2 + 7 = 87
87 × 2 + 7 = 181
181 × 2 + 7 = 369
369 × 2 + 7 = 745
745 × 2 + 7 = 1497
1497 × 2 + 7 = 3001
Ans: A
16. 9, 26, 76, 225, ......., 2008
A) 202 B) 671 C) 919 D) 1229 E) 3303
Sol: 9 × 3 − 1 = 26
26 × 3 − 2 = 76
76 × 3 − 3 = 225
225 × 3 − 4 = 671
671 × 3 − 5 = 2008
Ans: B
17. 6, 14, ........, 70, 148, 306, 624
A) 20 B) 42 C) 32 D) 25 E) 51
Sol: 6 × 2 + 2 = 14, 14 × 2 + 4 = 32,
32 × 2 + 6 = 70,
70 × 2 + 8 = 148,
148 × 2 + 10 = 306,
306 × 2 + 12 = 624
Ans: C
* 7, 6, 10, 27, ........, 515, 3084
A) 104 B) 152 C) 161 D) 172 E) 132
Sol: 7 × 1 − 1 = 6
6 × 2 − 2 = 10
10 × 3 − 3 = 27
27 × 4 − 4 = 104
104 × 5 − 5 = 515
515 × 6 − 6 = 3084
Ans: A
* 15, 18, 39, 120, 483, .........
A) 2323 B) 2621 C) 2224
D) 2418 E) 2348
Sol: 15 × 1 + 3 = 18
18 × 2 + 3 = 39
39 × 3 + 3 = 120
120 × 4 + 3 = 483
483 × 5 + 3 = 2418
Ans: D
* 10, 15, 25, 45, 85, ........, 325
A) 875 B) 795 C) 815 D) 165 E) 430
Sol: 10 × 2 − 5 = 15
15 × 2 − 5 = 25
25 × 2 − 5 = 45
45 × 2 − 5 = 85
85 × 2 − 5 = 165
165 × 2 − 5 = 325
Ans: D
* 10, 18, 51, 200, 995, 5964, .......
A) 46404 B) 50624 C) 41741 D) 65441 E) 35400
Sol: 10 × 2 − 2 = 18
18 × 3 − 3 = 51
51 × 4 − 4 = 200
200 × 5 − 5 = 995
995 × 6 − 6 = 5964
5964 × 7 − 7 = 41741
Ans: C
* 12, ........, 24, 48, 144, 432
A) 15 B) 18 C) 16 D) 12 E) 36
Sol: 12 × 1 = 12, 12 × 1 = 12
12 × 2 = 24, 24 × 2 = 48
48 × 3 = 144, 144 × 3 = 432
Ans: D
* 10, 15, 30, 75, 225, ........, 3150
A) 506 B) 787.5 C) 136.5 D) 150 E) 450
Sol: 10 × 1.5 = 15, 15 × 2 = 30,
30 × 2.5 = 75, 75 × 3 = 225,
225 × 3.5 = 787.5, 787.5 × 4 = 3150
Ans: B
* 11, 13, 17, 25, 41, 73, .........
A) 137 B) 250 C) 161 D) 171 E) 260
Sol: 11 + 2 = 13, 13 + 4 = 17
17 + 8 = 25, 25 + 16 = 41
41 + 32 = 73, 73 + 64 = 137
Ans: A
* 8, 25, 59, 127, ........, 535, 1079
A) 280 B) 263 C) 270
D) 288 E) 295
Sol: 8 × 2 + 9 = 25
25 × 2 + 9 = 59
59 × 2 + 9 = 127
127 × 2 + 9 = 263
263 × 2 + 9 = 535
535 × 2 + 9 = 1079
Ans: B
* 8, 24, 96, ........, 2880, 20160
A) 564 B) 480 C) 770
D) 972 E) 650
Sol: 8 × 3 = 24
24 × 4 = 96
96 × 5 = 480
480 × 6 = 2880
2880 × 7 = 20160
Ans: B
* 15, 22.5, 45, 112.5, 337.5, ........, 4725
A) 1760.5 B) 1181.25 C) 1820.5
D) 1460.5 E) 1357.5
Sol: 15 × 1.5 = 22.5
22.5 × 2 = 45
45 × 2.5 = 112.5
112.5 × 3 = 337.5
337.5 × 3.5 = 1181.25
1181.25 × 4 = 4725
Ans: B
* 25, 24, 46, 135, ........, 2675, 16044
A) 552 B) 451 C) 871
D) 536 E) 357
Sol: 25 × 1 − 1 = 24
24 × 2 − 2 = 46
46 × 3 − 3 = 135
135 × 4 − 4 = 536
536 × 5 − 5 = 2675
2675 × 6 − 6 = 16044
Ans: D
* 285, 296, 308, 321, ?, 350
A) 510 B) 410 C) 450
D) 335 E) 246
Sol: 285 + 11 = 296
296 + 12 = 308
308 + 13 = 321
321 + 14 = 335
335 + 15 = 350
Ans: D
* 10, 23, ........, 105, 216, 439, 886
A) 20 B) 42 C) 50 D) 25 E) 37
Sol: 10 × 2 + 3 = 23
23 × 2 + 4 = 50
50 × 2 + 5 = 105
105 × 2 + 6 = 216
216 × 2 + 7 = 439
439 × 2 + 8 = 886
Ans: C
