In the following number pairs, the second number is obtained by applying some mathematical operations on the first number. Select the pair in which the numbers are related in the same way as are the numbers of the following pairs. (9, 102), (6, 69)

Appeared in: DSSSB October 2024

Explanation

The core pattern is to multiply the first number by 11 and then add 3 to get the second number.
For the given pair (9, 102), the calculation is (9 × 11) + 3 = 99 + 3 = 102.
This pattern is confirmed with the second pair (6, 69), where (6 × 11) + 3 = 66 + 3 = 69.
The correct option (11, 124) follows this rule exactly: (11 × 11) + 3 = 121 + 3 = 124.

Option B: Applying the rule to the pair (4, 41) results in (4 × 11) + 3 = 47, which is not equal to the given second number, 41.
Option C: Applying the rule to the pair (15, 167) results in (15 × 11) + 3 = 168, which is not equal to the given second number, 167.
Option D: Applying the rule to the pair (13, 143) results in (13 × 11) + 3 = 146, which is not equal to the given second number, 143.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Number Analogy as background academic context rather than a clinical decision trigger.
This type of question assesses logical and analytical reasoning, a critical skill for nurses in problem-solving and making sound clinical judgments.
Nurses often need to identify patterns in patient data (e.g., vital signs, lab results, symptom progression) to detect changes in condition, similar to finding the pattern in this number series.
What if the pattern was (x * x) + 21? The first pair (9, 102) would still work (81 + 21 = 102), but the second pair (6, 69) would not (36 + 21 = 57). This highlights the importance of verifying a pattern against all given examples before applying it.

How to Approach the Question

First, analyze the given example pairs, (9, 102) and (6, 69), to find a consistent mathematical relationship.
Test common arithmetic operations like multiplication, addition, squares, etc. Notice that 9 × 11 is 99 (close to 102) and 6 × 11 is 66 (close to 69).
Formulate a hypothesis for the pattern. In both cases, the difference after multiplying by 11 is +3. The rule is: (First Number × 11) + 3.
Verify that this rule works for all the example pairs provided.
Systematically apply the confirmed rule to each of the four options.
Select the option where the calculated result matches the given second number.

Concept Tested & Keywords

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Practise the full DSSSB October 2024

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