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What should come in place of the question mark (?) in the given series? 160 151 141 130 118 ?
105
101
95
91
105
Identify the difference between consecutive terms; the pattern follows decreasing prime numbers or consecutive odd numbers in reverse subtraction.
Identify the difference between consecutive terms; the pattern follows decreasing prime numbers or consecutive odd numbers in reverse subtraction.
Analyze Differences
Find the difference between each pair: 160-151=9, 151-141=10, 141-130=11, 130-118=12.
Identify the Pattern
The differences are consecutive integers increasing by 1: 9, 10, 11, 12. Therefore, the next difference must be 13.
Apply Logic
Subtract the next number in the sequence (13) from the last term (118): 118 - 13 = 105.
B: 101 is incorrect as 118-17 is not part of the sequence. C: 95 is incorrect as it assumes a larger jump. D: 91 is incorrect as it assumes a jump of 27.
A is correct because the series follows a pattern of subtracting consecutive integers (9, 10, 11, 12, 13) from each preceding number.
Always calculate the differences between consecutive terms first in number series questions. If the differences themselves follow a pattern, you have cracked the code.
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