Select the number that is related to the third number in the same way that the second number is related to the first number. 6:35::11:?

1. A

   120

2. B

   56

3. C

   70

4. D

   121

Appeared in: CGHS SSC - 2018

Explanation

• The question requires identifying a consistent mathematical relationship between two pairs of numbers.
• The pattern is n : (n2 - 1).
• For the first pair, 6 : 35, the calculation is 62 - 1 = 36 - 1 = 35.
• Applying this rule to the second number, 11, gives 112 - 1 = 121 - 1 = 120.

Why Other Options Were Wrong

• Option B: There is no simple, consistent mathematical rule that connects 6 to 35 and also connects 11 to 56.
• Option C: This might be derived from an inconsistent pattern. For example, if one assumes the pattern is (n x 7) - 7, it works for the first pair (6x7 - 7 = 35) and gives 70 for the second (11x7 - 7 = 70). However, the '7' in the first part is derived from 6+1, so the second part should use 11+1=12, not 7.
• Option D: This number is the result of squaring 11 (112 = 121) but omits the second step of the established pattern, which is to subtract 1.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Analogy 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 enhances critical thinking and problem-solving abilities, which are essential for interpreting patient data, identifying patterns in symptoms, and making sound clinical decisions.
• What if the first pair was 6:42? The pattern would likely be n : n(n+1) or n2+n. In that case, the answer for 11 would be 11(12) = 132.

How to Approach the Question

• First, identify the question as a number analogy problem, where you need to find the relationship in the first pair and apply it to the second.
• Analyze the first pair of numbers: 6 and 35.
• Consider common mathematical operations: addition, subtraction, multiplication, division, squares, and cubes.
• Observe that 35 is very close to 36, which is the square of 6.
• Formulate a hypothesis for the pattern: the second number is the square of the first number minus one (n2 - 1).
• Test this hypothesis on the first pair: 62 - 1 = 36 - 1 = 35. It works.

Concept Tested & Keywords

• Concept Tested: Number Analogy
• Stem keywords: Number Analogy, Logical Reasoning, 6:35::11:?
• Lead-in keywords: Select the number
• Negative lead-in flag: false

Question ID

QCun5NGILHNhb67orexjLn

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