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প্রদত্ত ক্রমের প্রশ্নবোধক চিহ্নটির (?) স্থানে কী বসবে ? 141 118 96 75 55 ?
43
36
32
46 Question ID : 4410091987728 Option 1 ID : 4410097828702 Option 2 ID : 4410097828703 Option 3 ID : 4410097828704 Option 4 ID : 4410097828701 Status : Answered Chosen Option : B
36
Observe the differences between consecutive terms; they follow a decreasing pattern by 1 (23, 22, 21, 20, 19).
Observe the differences between consecutive terms; they follow a decreasing pattern by 1 (23, 22, 21, 20, 19).
Analyze the difference between terms
Calculate the difference between each consecutive number in the series: 141-118 = 23; 118-96 = 22; 96-75 = 21; 75-55 = 20.
Identify the pattern
The differences are decreasing by 1 each time: 23, 22, 21, 20. Therefore, the next difference must be 19.
Calculate the final term
Subtract the next difference (19) from the last known term (55): 55 - 19 = 36.
A: 43 is incorrect as the difference from 55 would be 12, which does not follow the decreasing pattern; C: 32 is incorrect as the difference from 55 would be 23, breaking the progression; D: 46 is incorrect as the difference from 55 would be 9, which is mathematically inconsistent with the trend.
B is correct because the series follows a pattern of subtracting consecutive integers starting from 23, leading to 55 - 19 = 36.
When a series decreases slowly, always check the difference between terms first. If the differences themselves form a simple pattern, you have solved the logic.