Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
19, 27, 54, 118, 243, ?
Option 1: 469
Option 2: 449
Option 3: 459
Option 4: 457
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Correct Answer: 459
Solution :
Given:
19, 27, 54, 118, 243, ?
In the above-given series, add the cube of consecutive numbers to the numbers.
19 + 2
3
= 19 + 8 = 27;
27 + 3
3
= 27 + 27 = 54;
54 + 4
3
= 54 + 64 = 118;
118 + 5
3
= 118 + 125 = 243
243 + 6
3
= 243 + 216 = 459
So, the missing number of the series is 459. Hence, the third option is correct.
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