Quantitative Aptitude: Number Series Set 15

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

1. 8, 14, 48, 270, 2128, ?
   A) 23140
   B) 20480
   C) 21150
   D) 23520
   E) 21230
   
   View Answer

   Option E
   Pattern:
   8×2 – 2 = 14
   14×4 – (2+6) = 48
   48×6 – (8+10) = 270
   270×8 – (18+14) = 2128
   2128×10 – (32+18) = 21230
2. 2, 48, 265, 1076, 3237, ?
   A) 5569
   B) 6478
   C) 5411
   D) 6410
   E) 5882
   
   View Answer

   Option B
   Pattern:  
   2×6 + 6² = 48
   48×5 + 5² = 265
   265×4 + 4² = 1076
   1076×3 + 3² = 3237
   3237×2 + 2² = 6478
    
3. 1010, 785, 616, 495, ?, 365
   A) 412
   B) 408
   C) 414
   D) 420
   E) 432
   
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   Option C
   Pattern:
   1010 – 15² = 785
   785 – 13² = 616
   616 – 11² = 495
   495 – 9² = 414
   414 – 7² = 365
    
4. 970, 470, 222, 100, 41, ?
   A) 15.5
   B) 10.5       
   C) 23.5
   D) 13.5
   E) 18.5
   
   View Answer

   Option D
   Pattern:
   (970-30) ÷ 2 = 470      
   (470-26) ÷ 2 = 222
   (222-22) ÷ 2 = 100   
   (100-18) ÷ 2 = 41
   (41-14) ÷ 2 = 13.5  
5. 8, 16, 48, 168, 704, ?
   A) 2695
   B) 3560
   C) 3240
   D) 2538
   E) 2233
   
   View Answer

   Option B
   Pattern:
   8×1 + 1×8 = 16
   16×2 + 2×8  = 48
   48×3 + 3×8  = 168
   168×4 + 4×8  = 704
   704×5 + 5×8  = 3560
   
6. 4, 21, 120, 595, 2376, ?
   A) 7125
   B) 6129
   C) 5257
   D) 4523
   E) 3652
   
   View Answer

   Option A
   Pattern:
   4×7 – 7 = 21
   21×6 – 6 = 120
   120×5 – 5 = 595
   595×4 – 4 = 2376
   2376×3 – 3 = 7125
7. 444, 220, 108, 52, ?, 10
   A) 17
   B) 28
   C) 31
   D) 24
   E) 35
   
   View Answer

   Option D
   Pattern:
   (444 – 4) ÷ 2 = 220
   (220 – 4) ÷ 2 = 108
   (108 – 4) ÷ 2 = 52
   (52 – 4) ÷ 2 = 24          
   (24 – 4) ÷ 2 = 10
8. 21, 44, 90, 159, 251, ?
   A) 376
   B) 324
   C) 366
   D) 402
   E) 444
   
   View Answer

   Option C
   Pattern:
   21 + 23 = 44
   44 + 46 = 90
   90 + 69 = 159
   159 + 92 = 251
   251 + 115 = 366
   
9. 4, 6, 16, 30, 88, ? 
   A) 153
   B) 121
   C) 149
   D) 174
   E) 162
   
   View Answer

   Option D
   Pattern:
   4×2 – 2 = 6
   6×3 – 2 = 16
   16×2 – 2 = 30
   30×3 – 2 = 88
   88×2 – 2 = 174
10. 2, 3, 4, 15, 56, 285, ?
    A) 1704
    B) 1888
    C) 1532
    D) 1325
    E) 1265
    
    View Answer

    Option A
    Pattern:
    2 × 1 + 1 = 3
    3 × 2 – 2 = 4
    4 × 3 + 3 = 15        
    15 × 4 – 4 = 56
    56 × 5 + 5 = 285
    285 × 6 – 6 = 1704