In the following question select the missing number from the given series?
2010, 2030, 2050, 2070, 2090

Appeared in: CIP Ranchi 2023

Explanation

The question presents a number series where each term increases by a fixed amount.
By calculating the difference between consecutive terms (e.g., 2030 - 2010 = 20), we find a constant difference of 20.
This pattern is known as an arithmetic progression.
To find the next term, we add the common difference (20) to the last given term (2090).
The calculation is 2090 + 20 = 2110, which is the correct missing number.

Option A: This option (2115) would result from adding 25 to the last term (2090), which does not follow the established pattern of adding 20.
Option B: This option (2118) does not fit any logical arithmetic or geometric pattern based on the given series. The difference would be 28, which is arbitrary.
Option C: This option (2120) is incorrect because it skips the immediate next term. While it follows the pattern of adding a multiple of 20, it is not the next number in the sequence (2090 + 20 = 2110).

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the ability to identify and continue a simple arithmetic progression in a number series as background academic context rather than a clinical decision trigger.
While not a clinical question, this type of logical reasoning is a foundational skill for nurses.
It helps in interpreting data trends, such as monitoring vital signs over time, calculating medication dosages, and recognizing patterns in patient symptoms.
For example, a nurse might track a patient's fluid output hourly. Recognizing a consistent decrease (an arithmetic progression) could be an early sign of renal issues.

How to Approach the Question

First, carefully read the series of numbers provided: 2010, 2030, 2050, 2070, 2090.
Analyze the relationship between consecutive numbers. Calculate the difference between the second and first term (2030 - 2010 = 20).
Verify if this difference is consistent for the rest of the series (2050 - 2030 = 20; 2070 - 2050 = 20, etc.).
Once the pattern (add 20) is confirmed, apply it to the last number in the series to find the next term (2090 + 20).
Calculate the result: 2110.
Finally, compare your result with the given options and select the matching one.

Concept Tested & Keywords

Concept Tested: This question tests the ability to identify and continue a simple arithmetic progression in a number series.
Stem keywords: missing number, given series, 2010, 2030, 2050, 2070, 2090
Lead-in keywords: select the missing number

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Practise the full CIP Ranchi 2023

Attempt every question from this paper in a timed mock, then review the full solution for each one.