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What should come in place of the question mark in the following number series: 210, 195, 180, 165, ?
150
145
155
140
150
Observe the constant difference between consecutive terms by subtracting the second term from the first.
Observe the constant difference between consecutive terms by subtracting the second term from the first.
Analyze the pattern
Calculate the difference between consecutive numbers: 210 - 195 = 15; 195 - 180 = 15; 180 - 165 = 15. The series follows a constant subtraction of 15.
Apply the rule
Subtract 15 from the last given number (165) to find the next term: 165 - 15 = 150.
B: 145 is incorrect because it implies a subtraction of 20. C: 155 is incorrect because it implies an addition of 10. D: 140 is incorrect because it implies a subtraction of 25.
A is correct because the series follows a consistent arithmetic progression where each subsequent number is obtained by subtracting 15 from the previous one, and 165 - 15 equals 150.
Always check for differences between consecutive terms first in any number series; if the difference is constant, it is a simple linear progression.
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