Quantitative Aptitude: Number Series Set 68

Directions: The following series are based on a specific pattern. One number in the series is wrong. Find that odd one out.

1. 14, 21, 35, 63, 121, 231
   63
   121
   35
   231
   14
   Option B
   Solution:
   14………… 21…………. 35…………… 63…………… 121(119)……….. 231
   ………7 …………. 14 ………. 28 …………… 56 ……….. 112.
   
2. 12, 7, 8, 13, 27, 69, 206.5
   27
   206.5
   69
   12
   8
   Option C
   Solution:
   12*0.5+1=7
   7*1+1=8
   8*1.5+1=13
   13*2+1=27
   27*2.5+1=69(68.5)
   68.5*3+1=206.5.
   
3. 26, 34, 61, 125, 254, 466
   61
   254
   34
   466
   26
   Option B
   Solution:
   26+2³=34
   34+3³=61
   61+4³=125
   125+5³=254(250)
   250+6³=466.
   
4. 350, 304, 265, 240, 224, 215
   240
   350
   224
   304
   215
   Option D
   Solution:
   350-7²=304(301)
   301-6²=265
   265-5²=240
   240-4²=224
   224-3²=215.
   
5. 25, 128, 518, 1553, 3112, 3119
   518
   1553
   128
   3119
   3112
   Option A
   Solution:
   25*5+3=128
   128*4+4=518(516)
   516*3+5=1553
   1553*2+6=3112
   3112*1+7=3119.
   
6. 5, 55, 495, 3465, 17455, 51975
   495
   17455
   3465
   55
   51975
   Option B
   Solution:
   5*11=55
   55*9=495
   495*7=3465
   3465*5=17455(17325)
   17325*3=51975.
   
7. 7, 4, 6, 9, 20, 52.5, 160.5
   52.5
   9
   160.5
   6
   20
   Option D
   Solution:
   7*1/2+1/2=4
   4*1+1=6(5)
   5*3/2+3/2=9
   9*2+2=20
   20*5/2+5/2=52.5
   52.5*3+3=160.5.
   
8. 14, 15, 29, 90, 351, 1756
   351
   29
   90
   15
   1756
   Option C
   Solution:
   14*1+1=15
   15*2-1=29
   29*3+1=90(88)
   88*4-1=351
   351*5+1=1756.
   
9. 33, 38, 45, 54, 65, 80
   45
   80
   65
   54
   38
   Option B
   Solution:
   33+5=38
   38+7=45
   45+9=54
   54+11=65
   65+13=80(78).
   
10. 16, 8, 12, 30, 105, 475
    475
    8
    12
    105
    30
    Option A
    Solution:
    16*1/2=8
    8*3/2=12
    12*5/2=30
    30*7/2=105
    105*9/2=475(472.5).