Quantitative Aptitude: Number Series Set 67

Directions: The following series are based on a certain pattern. One of the number in series is missing given by ?. Find that number.

1. 24, 208, 240, ?, 256, 176
   166
   185
   192
   175
   None
   Option C
   Solution:
   224-16=208
   208+32=240
   240-48=192
   192+64=256
   256-80=176.
   
2. 1, 16, 81, ?, 625, 1296
   144
   256
   289
   322
   None
   Option B
   Solution:
   1⁴=1
   2⁴=16
   3⁴=81
   4⁴=256
   5⁴=625
   6⁴=1296.
   
3. 6, 23, 90, ?, 1424, 5691
   285
   321
   346
   357
   None
   Option D
   Solution:
   6*4-1=23
   23*4-2=90
   90*4-3=357
   357*4-4=1424
   1424*4-5=5691.
   
4. 5, 9, 25 , ?, 414, 2282.5
   86
   91
   95
   82
   None
   Option B
   Solution:
   5*1.5+1.5=9
   9*2.5+2.5=25
   25*3.5+3.5=91
   91*4.5+4.5=414
   414*5.5+5.5=2282.5.
   
5. 3, ?, 12, 48, 576, 27648
   6
   7
   4
   9
   None
   Option C
   Solution:
   3*4=12
   4*12=48
   48*576=27648.
   
6. 8, 6, 9, 23, 87 , ?
   429
   360
   344
   296
   None
   Option A
   Solution:
   8 * 1 – 2 = 6
   6 * 2 – 3 = 9
   9 * 3 – 4 = 23
   23 * 4 – 5 = 87
   87 * 5 – 6 = 429
   
7. 53, 53, 40, 40, 27, 27, ?
   16
   22
   18
   14
   None
   Option D
   Solution:
   Number repeated and subtract by 13.
   
8. 15, 18, 16, 19, ?,20
   15
   17
   19
   21
   None
   Option B
   Solution:
   15+3=18
   18-2=16
   16+3=19
   19-2=17
   17+3=20
   
9. 14, ?, 20, 12, 26, 15
   11
   7
   9
   13
   None
   Option C
   Solution:
   14/2+2=9
   9*2+2=20
   20/2+2=12
   12*2+2=26
   26/2+2=15
   
10. 2, 8, 20, 40, 70, ?
    128
    124
    102
    112
    None
    Option D
    Solution:
    2+2+2²=8
    8+3+3²=20
    20+4+4²=40
    40+5+5²=70
    70+6+6²=112.