Arithmatical - Odd Man Out and Series

DIRECTIONS : Find out the wrong number in each sequence
6. 864, 420, 200, 96, 40, 16, 6
  A.  420
  B.  200
  C.  96
  D.  40
Solution
96.
Pattern of the series from the right end follows the rule 6x2+4=16, 16x2+8=40, 40x2+12=92, 92x2+16=200.. and so on. Therefore, number 96 should be replaced by 92.
7. 3, 5, 12, 39, 154, 772, 4634
  A.  39
  B.  154
  C.  5
  D.  3
Solution
39.
Pattern of the series from the left start follows the rule 3x1+2=5, 5x2+2=12, 12x3+2=38, 38x4+2=154 .. and so on. Therefore, number 39 should be replaced by 38.
8. 444, 300, 200, 136, 87, 84, 80
  A.  80
  B.  87
  C.  136
  D.  200
Solution
87.
Series has been written in descending order.
Solution :
Squares of even natural numbers. Hence the number 87 should be replaced by number 88.
9. 892, 444, 220, 112, 52, 24
  A.  52
  B.  112
  C.  220
  D.  444
Solution
112.
Pattern of the series from the right end follows the rule 24x2+4=52, 52x2+4=108, 108x2+4=220, 220x2+4=444 .. and so on. Hence number 112 is wrong and should be replaced by 108.
10. 2, 3, 12, 37, 86, 166, 288
  A.  2
  B.  3
  C.  86
  D.  116
Solution
116.
Series moves with a difference of squares of odd natural numbers i.e ., 1, 9, 25, 49, 81, 121. Hence the number 166 should be replaced by number 167.
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