Series Type 1
5040, 840, 168, 42, 14, ? Option : A. 7 B. 2 C. 6, D.5
  • 7
  • 2
  • 6
  • 5
Explanation: Find the pattern, Let's divide each term by the next one: 5040 ÷ 840 = 6, 840 ÷ 168 = 5, 168 ÷ 42 = 4, 42 ÷ 14 = 3, So the pattern is dividing by decreasing numbers: 6, 5, 4, 3... Continue the pattern, Next divisor should be 2 (since the pattern decreases by 1 each time). So, 14 ÷ 2 = 7 Ans: 7
117, 118, 120, 129, 193, ? Option : A. 210 , B. 420, C. 818, D. 618
  • 210
  • 420
  • 818
  • 618
Explanation: Differences: 118−117 = 1 (= 1^1), 120−118 = 2 (= 2^1), 129−120 = 9 (= 3^2), 193−129 = 64 (= 4^3), Next difference = 5^4 = 625., So next term = 193+625=818., Ans: 818 (Option C)
2, 3, 7,16, 32, 57, ? Option: A. 93, B. 107, C. 92, D. 100
  • 93
  • 107
  • 92
  • 100
Explanation: Find differences, 3 − 2 = 1, 7 − 3 = 4, 16 − 7 = 9, 32 − 16 = 16, 57 − 32 = 25, Differences = 1, 4, 9, 16, 25 → these are 1², 2², 3², 4², 5², Next difference, Next should be 6² = 36, Add to last term: 57 + 36 = 93 Ans: 93 (Option A)
6, 7, 11, 20, 36, ? Option A. 60, B. 57, C. 61, D. 51
  • 60
  • 57
  • 61
  • 51
Explanation: Find differences, 7 − 6 = 1 , 11 − 7 = 4 , 20 − 11 = 9 , 36 − 20 = 16 , Differences = 1, 4, 9, 16 → these are 1², 2², 3², 4² , Next difference = 5² = 25, Add to last term, 36 + 25 = 61 Ans: 61 (Option C)
Find known differences: 848, 969, ? , 1282, 1478 Option. A. 1000, B. 1113 C. 1013, D. 999
  • 1000
  • 1113
  • 1013
  • 999
Explanation: 969 − 848 = 121, 1282 − ? = (unknown) , 1478 − 1282 = 196 , We notice 121 = 11², 196 = 14² → appears like square numbers increasing by 3 in the base (11, 14...). Continue the pattern , Base numbers: 11, 12, 13, 14 → squares: 121, 144, 169, 196 , So the differences should be: +121, +144, +169, +196 , Fill in missing term, 848 + 121 = 969, 969 + 144 = 1113, 1113 + 169 = 1282, 1282 + 196 = 1478, Answer: 1113 (Option B)
1, 4, 9, 16, 25, ? Option. A. 31, B. 36, C. 8, D. 40
  • 31
  • 36
  • 8
  • 40
Explanation: 1, 4, 9, 16, 25 = 1², 2², 3², 4², 5² Next = 6² = 36 Ans: 36 (Option B)
32, 57, 93, 142, 206, ? Option. A. 213, B. 26, C. 216, D. 287
  • 213
    • Explanation: Find differences, 57 − 32 = 25, 93 − 57 = 36, 142 − 93 = 49, 206 − 142 = 64, Differences = 25, 36, 49, 64 → these are 5², 6², 7², 8², Next difference, Next = 9² = 81, Add to last term, 206 + 81 = 287 Ans: 287 (Option D)