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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 শ্রেণীতে প্রশ্নবোধক চিহ্নের (?) স্থানে কী আসা উচিত?
79 88 100 115 133 154?
170
181
178
175
178
Observe the differences between consecutive terms; they follow a simple arithmetic progression: 9, 12, 15, 18, 21, 24.
Observe the differences between consecutive terms; they follow a simple arithmetic progression: 9, 12, 15, 18, 21, 24.
Calculate Differences
Calculate the difference between consecutive terms: 88-79=9, 100-88=12, 115-100=15, 133-115=18, 154-133=21.
Identify Pattern
The differences (9, 12, 15, 18, 21) form an arithmetic progression with a common difference of 3.
Determine Next Term
The next difference must be 21 + 3 = 24. Adding this to the last term, 154 + 24 = 178.
A: 170 is incorrect as it implies a difference of 16; B: 181 is incorrect as it implies a difference of 27; D: 175 is incorrect as it implies a difference of 21.
C is correct because the series follows a pattern of adding increasing multiples of 3 (9, 12, 15, 18, 21, 24) to each preceding number.
If the differences are not constant, always check the difference of the differences; it often reveals a simple constant increment like +3 in this case.