Quantitative Aptitude: Number Series Set 8

Directions: What will come in place of (?) in following series following a certain pattern?

1. 4, 9, 23, 74, 301, ?
   A) 1946
   B) 1436
   C) 1510
   D) 1481
   E) 1741
   
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   Option C
   Pattern:
   4 × 1 + 5 = 9,
   9 × 2 + 5 = 23,
   23 × 3 + 5 = 74,
   74 × 4 + 5 = 301,
   301 × 5 + 5 = 1510,
2. 5, 9, 25, 61, 125, ?
   A) 179
   B) 225
   C) 266
   D) 290
   E) 168
   
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   Option B
   Pattern:
   5 + 2² = 9,
   9 + 4² = 25,
   25 + 6² = 61,
   61 + 8² = 125,
   125 + 10² = 225,
   
3. 6, 14, 32, 72, 160, ?
   A) 329
   B) 320
   C) 321
   D) 352
   E) 344
   
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   Option D
   Pattern:
   6 × 2 + 2 = 14,
   14 × 2 + 4 = 32,
   32 × 2 + 8 = 72,
   72 × 2 + 16 = 160,
   160 × 2 + 32 = 352,
4. 13, 6, 5, 6, 10, ?
   A) 22.5
   B) 31.6
   C) 45.2
   D) 32.5
   E) 33.2
   
   View Answer

   Option A
   Pattern:
   13 × 0.5 – 0.5 = 6,
   6 × 1 – 1 = 5,
   5 × 1.5 – 1.5 = 6,
   6 × 2 – 2 = 10,
   10 × 2.5 – 2.5 = 22.5
5. 7, 9, 21, 67, 273, ?
   A) 1367
   B) 1234
   C) 1413
   D) 1371
   E) 1218
   
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   Option D
   Pattern:
   7×1 + 2 = 9,
   9×2 + 3 = 21,
   21×3 + 4 = 67,
   67×4 + 5 = 273,
   273×5 + 6 = 1371
6. 8, 10, 17, 34, 66, ?
   A) 157
   B) 176
   C) 199
   D) 175
   E) 118
   
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   Option E
   Pattern:
   
7. 5, 14, 11, 32, 29, ?
   A) 57
   B) 86
   C) 45
   D) 78
   E) 92
   
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   Option B
   Pattern:
   5 × 3 – 1 = 14,
   14 × 1 – 3 = 11,
   11 × 3 – 1 = 32,
   32 × 1 – 3 = 29,
   29 × 3 – 1 = 86
8. 27, 34, 51, 62, 83, ?
   A) 99
   B) 102
   C) 111
   D) 98
   E) 144
   
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   Option D
   Pattern:
   5² + 2, 6² – 2, 7² + 2, 8² – 2,
   9² + 2, 10² – 2
9. 3, 13, 35, 113, ?, 2301
   A) 335
   B) 427
   C) 459
   D) 531
   E) 643
   
   View Answer

   Option C
   Pattern:
   3 × 1 + 10 = 13,
   13 × 2 + 9 = 35,
   35 × 3 + 8 = 113,
   113 × 4 + 7 = 459,
   459 × 5 + 6 = 2301
10. 1, 2, 5, 16, ?, 632
    A) 76
    B) 107
    C) 123
    D) 98
    E) 121
    
    View Answer

    Option A
    Pattern:
    1 × 0.5 + 1.5 = 2,
    2 × 1 + 3 = 5,
    5 × 2 + 6 = 16,
    16 × 4 + 12 = 98,
    76 × 8 + 24 = 632