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Series Completion

11. 1, 4, 9, 16, 25, ?
 
  • A. 24
  • B. 36
  • C. 41
  • D. 43
Ans: B.
Sol.
The numbers are 12, 22, 33, 42, ....
So missing number = 62 = 36.
 
 
12. 10, 14, 26, 42, 70, ?
 
  • A. 100
  • B. 102
  • C. 106
  • D. 114
Ans: D.
Sol.
Each term of the series, except the first two terms, is 2 more than the sum of the preceding two terms
So, missing term = (42 + 70 ) = 114.
 
13. 1, 9, 25, 49, 81, ?
 
  • A. 103
  • B. 112
  • C. 121
  • D. 144
Ans: C.
Sol.
The series consists of squares of consecutive prime numbers i.e. 12, 32, 52, 72, 92,.....
So, missing term = 112 = 121.
 
14. 2, 6, 12, 20, 30, 42, 56, ?
 
  • A. 50
  • B. 60
  • C. 72
  • D. 78
Ans: C.
Sol.
The sequence is 1 × 2, 2 × 3, 3 × 4, 4 × 5, 6 × 7, 7 × 8.
So missing term = 8 × 9 = 72.
 
15. 1, 9, 25, 49, ?, 121
 
  • A. 72
  • B. 76
  • C. 78
  • D. 81
Ans: D.
Sol.
The given series consists of squares of consecutive odd numbers. i.e. 12, 32, 52, 72, ....
So, missing term = 92 81.