20 Must solve Number Series in SNAP Exam

Questions

1. 1     3     10     36     152     760     4632
   (a) 3
   (b) 36
   (c) 4632
   (d) 760
   (e) 152
2. 12,     12,     18,     45,     180,     1170,     ?
   (a) 12285
   (b) 10530
   (c) 11700
   (d) 12870
   (e) 9945
3. 67,      1091,       835,       899,      883,      ?
   (a) 889
   (b) 887
   (c) 883
   (d) 894
   (e) 896
4. 12,  30,  120,  460,  1368,  2730
   What will come in place of (d)?
   (a) 1384
   (b) 2642
   (c) 2808
   (d) 1988
   (e) None of these
5. 72, 74, 84, 110, 160, 244, 364
   (a) 364
   (b) 244
   (c) 160
   (d) 74
   (e) 72
6. 30, 42, 48, 54, 65, 81, 126
   (a) 42
   (b) 48
   (c) 126
   (d) 30
   (e) 65
7. 77, 78, 159, 472, 1889, 9446, 56677
   (a) 159
   (b) 472
   (c) 1889
   (d) 56677
   (e) 77
8. 2159, 1967, 1782, 1611, 1461, 1339, 1254
   (a) 1967
   (b) 2159
   (c) 1461
   (d) 1254
   (e) 1611
9. 854, 886, 923, 964, 1007, 1054, 1107
   (a) 923
   (b) 1007
   (c) 854
   (d) 1054
   (e) 1107
10. 465, 633, 775, 897, 993, 1065, 1113
    (a) 465
    (b) 633
    (c) 993
    (d) 775
    (e) 1113
11. 12, 12, 30, 120, 654, 4620
    (a) 12
    (b) 654
    (c) 30
    (d) 120
    (e) 4620
12. 1174, 1275, 1445, 1671, 1961, 2323
    (a) 1174
    (b) 1275
    (c) 1671
    (d) 1961
    (e) 2323
13. 9, 25, 58, 125, 260, 531, 1075
    (a) 9
    (b) 25
    (c) 260
    (d) 531
    (e) 1075
14. 4866, 2432, 1218, 610, 306, 154, 78
    (a) 4866
    (b) 78
    (c) 2432
    (d) 154
    (e) 610
15. 4, 11, 39, 163, 823, 4947, 34639
    (a) 11
    (b) 4
    (c) 4947
    (d) 39
    (e) Series is correct
16. 19, 24, 33, 43, 55, 69, 85
    (a) 24
    (b) 19
    (c) 33
    (d) 55
    (e) 85
17. 36, 34, 22, -8, -64, -154 , -286
    (a) 36
    (b) 22
    (c) -8
    (d) -64
    (e) Series are correct
18. 3, 8, 17, 36, 73, 146, 297
    (a) 3
    (b) 17
    (c) 297
    (d) 146
    (e) Series are correct
19. 0, 1, 9, 36, 81, 225, 441
    (a) 0
    (b) 1
    (c) 36
    (d) 81
    (e) Series are correct
20. 5, 9, 25, 59, 125, 225, 369
    (a) 59
    (b) 5
    (c) 25
    (d) 225
    (e) 369

Here are the detailed solutions for the 20 questions, each explained

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Solutions

1. Solution: The difference between consecutive terms forms a geometric progression: 3−1=23-1 = 2, 10−3=710-3 = 7, 36−10=2636-10 = 26, and so on. These differences grow quadratically, indicating (a) 33 disrupts the pattern. Answer: (a)
2. Solution: Each term is derived by multiplying the previous term by increasing numbers: 12×1=1212 \times 1 = 12, 12×1.5=1812 \times 1.5 = 18, 18×2.5=4518 \times 2.5 = 45, and so on. Missing term is 1170×10.5=122851170 \times 10.5 = 12285. Answer: (a)
3. Solution: This sequence alternates between increasing and decreasing terms. Differences are irregular but follow 1091−67=10241091 - 67 = 1024, 835−1091=−256835 - 1091 = -256, 899−835=64899 - 835 = 64. The next term decreases by 6, giving 883−6=887883 - 6 = 887. Answer: (b)
4. Solution: Multipliers increase sequentially: 12×2.5=3012 \times 2.5 = 30, 30×4=12030 \times 4 = 120, 120×3.833=460120 \times 3.833 = 460, and so on. The pattern suggests 460×3=1380460 \times 3 = 1380. Closest match: (c) 28082808. Answer: (c)
5. Solution: Differences grow as 2,10,26,50,84,1202, 10, 26, 50, 84, 120. These differences increase by 8,16,24,…8, 16, 24, \dots. The next difference is 364−120=244364 - 120 = 244. Answer: (b)
6. Solution: This sequence grows by irregular additions: 30+12=4230 + 12 = 42, 42+6=4842 + 6 = 48, 48+6=5448 + 6 = 54, 54+11=6554 + 11 = 65. The next step, 65+16=8165 + 16 = 81, follows logically. Answer: (e)
7. Solution: The sequence shows exponential growth with alternating factors. For example, 159×2.97=472159 \times 2.97 = 472 and 472×4=1889472 \times 4 = 1889. Answer: (a)
8. Solution: This is a decreasing sequence with constant differences: 2159−192=19672159 - 192 = 1967, 1967−185=17821967 - 185 = 1782, 1782−171=16111782 - 171 = 1611. The final term confirms 12541254 fits. Answer: (d)
9. Solution: Each term is obtained by adding sequentially increasing values: 854+32=886854 + 32 = 886, 886+37=923886 + 37 = 923. Thus, the logical progression to 11071107 confirms 10071007 as the disruptor. Answer: (c)
10. Solution: The growth rate reduces with 465+168=633465 + 168 = 633, 633+142=775633 + 142 = 775, 775+122=897775 + 122 = 897. Answer: (d)
11. Solution: The sequence involves increasing multiplicative gaps: 12×1=1212 \times 1 = 12, 12×2.5=3012 \times 2.5 = 30, and so forth. 654654 fits the sequence. Answer: (b)
12. Solution: Additive jumps increase by fixed intervals: 1275−1174=1011275 - 1174 = 101, 1445−1275=1701445 - 1275 = 170, and so forth. 11741174 disrupts. Answer: (a)
13. Solution: This shows doubling growth gaps: 9→25→58→1259 \to 25 \to 58 \to 125. The missing term aligns with 531×2=1075531 \times 2 = 1075. Answer: (e)
14. Solution: The sequence halves continuously: 2432/2=12182432 / 2 = 1218, 1218/2=6101218 / 2 = 610, confirming 154154 aligns correctly. Answer: (c)
15. Solution: Exponential ratios appear as base powers multiply. 3939 interrupts exponential gaps—matching 823823 makes the sequence clearer. Answer: (b)
16. Solution: Gaps widen arithmetically by additions: 19+5=2419 + 5 = 24, 24+9=3324 + 9 = 33. Series grows naturally to 8585. Answer: (a)
17. Solution: Negative transitions accelerate geometrically, reducing rapidly. Differences align with −154-154 leading sensibly. Answer: (e)
18. Solution: Doubling values persist after 7373: 36×2=7336 \times 2 = 73, confirmed sequentially in higher rounds. Answer: (d)
19. Solution: Sequential squares emerge: 1,9,16,1, 9, 16,, growing logarithmically. Answer: (d)
20. Solution: Direct doubling on cubes confirms 59,…,105,204,59, \dots, 105, 204,, adjusting dynamic gaps repeats in remaining higher polynomial transitions). Answer: (a)

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