Direction:- in the following number series only one number is wrong. Find out that wrong number:-4, 10, 22, 46, 96, 190,

382

Appeared in: AIIMS Raipur NO - 2019 (Shift-2)

Explanation

The series follows the rule: Next Number = (Previous Number × 2) + 2.
Applying this rule: (4 × 2) + 2 = 10; (10 × 2) + 2 = 22; (22 × 2) + 2 = 46.
The pattern breaks at the fifth term. According to the rule, the next number should be (46 × 2) + 2 = 94.
The series lists 96 instead of 94, making 96 the incorrect number.
The pattern continues correctly from 94: (94 × 2) + 2 = 190, and (190 × 2) + 2 = 382.

Option A: The number 190 is a correct term in the series. It correctly follows the established pattern if the preceding term is the corrected value of 94 (i.e., (94 × 2) + 2 = 190).
Option B: The number 4 is the first term of the series and serves as the starting point for the pattern. It is not an error.
Option C: The number 22 is a correct term in the series. It is correctly derived from the preceding term, 10, using the pattern (10 × 2) + 2 = 22.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Identifying the wrong term in a number series as background academic context rather than a clinical decision trigger.
While not a clinical question, logical reasoning and pattern recognition are foundational skills tested in nursing entrance exams.
Nurses use pattern recognition daily to interpret trends in patient data, such as vital signs, lab results, or fluid balance charts, to identify early signs of deterioration or improvement.
For example, recognizing a steady increase in a patient's heart rate over several hours is a pattern that requires investigation, similar to finding an anomaly in this number series.

How to Approach the Question

First, carefully examine the sequence of numbers to find a consistent mathematical relationship between consecutive terms.
Test common arithmetic operations (addition, subtraction, multiplication, division) or a combination of them. For example, check the difference between terms: 10 - 4 = 6; 22 - 10 = 12; 46 - 22 = 24. Notice the difference is doubling each time.
Alternatively, test a multiplicative pattern. Notice that each number is slightly more than double the previous one. Test the pattern (n × 2) + 2.
Apply the identified rule (n × 2) + 2 sequentially to each term: (4×2)+2=10, (10×2)+2=22, (22×2)+2=46.
Continue the pattern to the next term: (46 × 2) + 2 = 94. Compare this calculated result with the number in the series, which is 96. This mismatch identifies the error.
To confirm, apply the rule to the corrected number (94) to see if it generates the next term in the series: (94 × 2) + 2 = 190. Since it matches, you can be confident that 96 is the wrong number.

Concept Tested & Keywords

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Practise the full AIIMS Raipur NO - 2019 (Shift-2)

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