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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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প্রদত্ত সিরিজে প্রশ্নবোধক চিহ্ন (?) এর স্থানে কী আসা উচিত?
214 201 190 181 174?
171
169
167
165
169
The series is a decreasing sequence where the difference between consecutive terms follows a pattern of consecutive odd numbers starting from 13 (13, 11, 9, 7, 5).
The series is a decreasing sequence where the difference between consecutive terms follows a pattern of consecutive odd numbers starting from 13 (13, 11, 9, 7, 5).
Analyze consecutive differences
Calculate the difference between adjacent terms: 214 - 201 = 13, 201 - 190 = 11, 190 - 181 = 9, 181 - 174 = 7.
Identify the logic pattern
The differences (13, 11, 9, 7) are consecutive odd numbers in decreasing order. The next difference in the sequence should be 5.
Apply pattern to find the answer
Subtract the next odd number (5) from the last term (174): 174 - 5 = 169.
A: 171 is incorrect as it implies a subtraction of 3, which breaks the odd number sequence (13, 11, 9, 7, 5). C: 167 is incorrect as it results from subtracting 7, not 5. D: 165 is incorrect as it results from subtracting 9, continuing the previous pattern incorrectly.
B is correct because the series follows a pattern of subtracting consecutive odd numbers starting from 13, leading to 174 - 5 = 169.
In any decreasing number series, always check the difference between terms first. If the difference changes, look for patterns in the differences like squares, cubes, or consecutive odd/prime numbers.