Directions: In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number. 10, 22, 42, 94

Appeared in: AIIMS Raipur NO - 2019 (Shift-1)

Explanation

42 as it is the term that disrupts the logical progression of the series.
The pattern governing the series is: Next Term = (Previous Term × 2) + 2.
Applying this pattern, the first term is 10. The second term is (10 × 2) + 2 = 22, which is correct.
The third term should be (22 × 2) + 2 = 46. However, the series lists 42, making it the incorrect number.
To confirm, if the third term were 46, the fourth term would be (46 × 2) + 2 = 94, which matches the series. This validates that 42 is the error.

Option B: The number 10 is the first term of the series. It serves as the starting point for the pattern and is considered correct by default in this context.
Option C: The number 22 correctly follows the pattern from the first term. Calculation: (10 × 2) + 2 = 22.
Option D: The number 94 is a correct term in the sequence, assuming the preceding term is corrected to 46. It follows the pattern: (46 × 2) + 2 = 94. Its presence confirms the validity of the identified pattern.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Identifying the incorrect term in a number series based on a mathematical pattern as background academic context rather than a clinical decision trigger.
This question tests logical reasoning and pattern recognition, which are crucial cognitive skills for nurses.
In clinical practice, nurses must recognize patterns in vital signs, lab results, and patient symptoms to identify health changes, anticipate complications, and make timely interventions.
For example, recognizing a trending increase in a patient's heart rate and a decrease in blood pressure can signal the early stages of shock, requiring immediate action.

How to Approach the Question

First, carefully examine the given number series: 10, 22, 42, 94.
Analyze the relationship between consecutive numbers. Check for simple arithmetic operations like addition, subtraction, multiplication, or division by a constant.
If a simple pattern isn't obvious, test for more complex rules, such as a combination of operations. For instance, try multiplying by a number and then adding or subtracting another.
In this case, test the rule (Previous Number × 2) + 2. (10 × 2) + 2 = 22. This works for the second term.
Apply this rule sequentially to all terms. (22 × 2) + 2 = 46. The series has 42, so this is likely the error.
Verify your finding by applying the rule to the next term using the corrected value. (46 × 2) + 2 = 94. This matches the last term, confirming that 42 is the incorrect number.

Concept Tested & Keywords

Concept Tested: Identifying the incorrect term in a number series based on a mathematical pattern.
Stem keywords: number series, wrong number, 10, 22, 42, 94
Lead-in keywords: Find out the wrong number

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