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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