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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 318, 300, 150, 132, 66, 48,?
16
32
24
58
24
Observe the pattern of two operations: first divide by 2, then subtract 18. Alternatively: 318 - 18 = 300, 300 / 2 = 150, 150 - 18 = 132, 132 / 2 = 66, 66 - 18 = 48, 48 / 2 = 24.
Observe the pattern of two operations: first divide by 2, then subtract 18. Alternatively: 318 - 18 = 300, 300 / 2 = 150, 150 - 18 = 132, 132 / 2 = 66, 66 - 18 = 48, 48 / 2 = 24.
Analyze the pattern
Look at the differences and relations: 318 to 300 is -18. 300 to 150 is /2. 150 to 132 is -18. 132 to 66 is /2. 66 to 48 is -18.
Apply the next operation
The alternating pattern is subtract 18, divide by 2. The last operation was subtract 18 (66 - 18 = 48), so the next is divide by 2: 48 / 2 = 24.
A: 16 is incorrect based on the calculated division pattern. B: 32 is incorrect as it does not follow the -18, /2 sequence. D: 58 is incorrect as it deviates from the determined arithmetic logic.
C is correct because the series follows an alternating pattern of subtracting 18 and dividing by 2, leading to 48 / 2 = 24.
In alternating series questions, always check if the operations repeat themselves (e.g., -18, /2, -18, /2) rather than just looking at differences.
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