Select the option that is related to the fourth term in the same way as the first term is related to the second term and fifth term is related to si×th term.

91 : 6 :: ? : 7 :: 169 : 8

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SSC JE Electrical 14 Nov 2022 Shift 3 Official Paper
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  1. 98
  2. 105
  3. 127
  4. 125

Answer (Detailed Solution Below)

Option 3 : 127
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Detailed Solution

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The pattern followed in the given series is:
   [Second term × (Second term - 1) × 3] + 1 = First term

Now we apply the pattern on the given series:
91 : 6 :: ? : 7 :: 169 : 8
[6 
× (6 - 1) × 3] + 1 = 91
[6 × 5 × 3] + 1 = 91
90 + 1 = 91
91 = 91 

91 : 6 :: ? : 7 :: 169 : 8
[8 
× (8 - 1) × 3] + 1 = 169
[8 × 7 × 3] + 1 = 169
168 + 1 = 169
169 = 169

91 : 6 :: ? : 7 :: 169 : 8
[7 
× (7 - 1) × 3] + 1 = ?
[7 × 6 × 3] + 1 = ?
126 + 1 = ?
127 = Answer

Hence, the correct answer is "option (3)".

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