Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 21 : 196 :: 29 : ? :: 38 : 315
Option 1: 319
Option 2: 252
Option 3: 203
Option 4: 841
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Correct Answer: 252
Solution : Given: 21 : 196 :: 29 : ? :: 38 : 315
Here, multiply the first number by 7 and then add the square of 7 to the resultant. 21 : 196→(21 × 7) + (7) 2 = 147 + 49 = 196 38 : 315→(38 × 7) + (7) 2 = 266 + 49 = 315 Similarly, follow the same pattern for 29 : ?→(29 × 7) + (7) 2 = 203 + 49 = 252
So, 252 is related to 29 in the same way as the second term is related to the first term, and the sixth term is related to the fifth term. Hence, the second option is correct.
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