Out of the given options, three are similar in a certain manner. However, one option in NOT like the other three. Select the option which is different from the rest?

1. A

   276

2. B

   244

3. C

   216

4. D

   312

Appeared in: DSSSB - 28 August 2019 (Shift-1)

Explanation

• The core logic is to identify a shared property among the options.
• The number 244 is the correct answer because it is the only number among the options that is not divisible by 3.
• To check for divisibility by 3, we sum the digits of the number. For 244, the sum is 2 + 4 + 4 = 10.
• Since 10 is not divisible by 3, the number 244 is not divisible by 3.
• The other three numbers (276, 216, 312) are all divisible by 3, making them a group.

Why Other Options Were Wrong

• Option A: This option is incorrect because 276 is part of the group that follows the common rule. The sum of its digits is 2 + 7 + 6 = 15, which is divisible by 3.
• Option C: This option is incorrect because 216 follows the common rule. The sum of its digits is 2 + 1 + 6 = 9, which is divisible by 3. Although it is also a perfect cube (6³), the divisibility rule groups it with the other two options.
• Option D: This option is incorrect because 312 is part of the group that follows the common rule. The sum of its digits is 3 + 1 + 2 = 6, which is divisible by 3.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Number Classification as background academic context rather than a clinical decision trigger.
• This type of logical reasoning question is not directly related to clinical nursing practice.
• However, it assesses analytical and problem-solving skills, which are crucial for nurses in making quick and accurate decisions.
• Nurses use pattern recognition daily, for example, when interpreting vital sign trends or recognizing subtle changes in a patient's condition.

How to Approach the Question

• First, understand the goal: Find the option that does not share a common characteristic with the other three.
• Examine the numbers for basic properties: Are they even/odd? Prime/composite? Squares/cubes?
• If no obvious pattern emerges, test for divisibility rules (e.g., by 2, 3, 4, 5, 9, 10, 11).
• In this case, calculate the sum of the digits for each number to check for divisibility by 3.
• Identify the number whose sum of digits is not divisible by 3. This will be the 'odd one out'.
• Confirm that the other three numbers all share the property of being divisible by 3.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning - Number Classification
• Stem keywords: odd one out, different from the rest, similar in a certain manner
• Lead-in keywords: Select the option which is different

Question ID

QhgwLEzfUZrC0hsxLZt_Ru

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