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

6 : 252 :: 4 : ? :: 9 : 810

This question was previously asked in
SSC JE Electrical 14 Nov 2022 Shift 3 Official Paper
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  1. 80
  2. 82
  3. 78
  4. 75

Answer (Detailed Solution Below)

Option 1 : 80
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Detailed Solution

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The pattern followed in the given series is:
   (First term)2 × (First term + 1) = Second term 

Now we apply the pattern on the given series:
6 : 252 :: 4 : ? :: 9 : 810
(6)2 
× (6 + 1) = 252
36 × 7 = 252
252 = 252

6 : 252 :: 4 : ? :: 9 : 810
(9)2 
× (9 + 1) = 810
81 × 10 = 810
810 = 810

6 : 252 :: 4 : ? :: 9 : 810
(4)2 
× (4 + 1) = ?
16 × 5 = ?
80 = Answer

Hence, the correct answer is "option (1)".

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