Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 426, 423, 414, 387, 306, ?
Option 1: 62
Option 2: 64
Option 3: 65
Option 4: 63
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Correct Answer: 63
Solution : Given: 426, 423, 414, 387, 306, ?
Subtract consecutive powers of 3 from each term to get the next term of the series – 426 – 3 1 = 426 – 3 = 423; 423 – 3 2 = 423 – 9 = 414; 414 – 3 3 = 414 – 27 = 387; 387 – 3 4 = 387 – 81 = 306; 306 – 3 5 = 306 – 243 = 63
So, 63 is the missing number of the given series. Hence, the fourth option is correct.
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