Question : Directions: Which number will replace the question mark (?) in the following series?
3, 12, 52, 159, 640, ?
Option 1: 1910
Option 2: 1731
Option 3: 1863
Option 4: 1923
Correct Answer: 1923
Solution :
Given:
3, 12, 52, 159, 640, ?
Multiply and add 3 and 4 alternatively in each number to get the required missing number in the series –
3 × 3 + 3 = 9 + 3 = 12,
12 × 4 + 4 = 48 + 4 = 52,
52 × 3 + 3 = 156 + 3 = 159,
159 × 4 + 4 = 636 + 4 = 640,
640 × 3 + 3 = 1920 + 3 = 1923
So, 1923 is the required missing term in the series. Hence, the fourth option is correct.
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