Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
38, 17, –2, –19, –34, –47, –58, ?
Option 1: –74
Option 2: –67
Option 3: –60
Option 4: –72
Correct Answer: –67
Solution :
Given:
38, 17, –2, –19, –34, –47, –58, ?
Subtract consecutive odd numbers alternatively, starting from 21 in decreasing order, to get the required missing term in the series –
38 – 21 = 17; 17 – 19 = –2; –2 – 17 = –19; –19 – 15 = –34; –34 – 13 = –47; –47 – 11 = –58; –58 – 9 = 67
So, the next number in the series is –67. Hence, the second option is correct.
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