Select the option that is related to the third number on the same basis as the second number is related to the first number?

13:0.07692::14:?

Appeared in: DSSSB -28 August 2019 (Shift-2)

Explanation

The relationship in the analogy is that the second number is the reciprocal of the first number (1 divided by the first number).
For the first pair, 1 divided by 13 equals 0.076923..., which is rounded to five decimal places to get 0.07692.
Applying this rule to the second pair, 1 divided by 14 equals 0.0714285...
Rounding this result to five decimal places gives 0.07143, as the sixth digit (8) is greater than or equal to 5, requiring the fifth digit to be rounded up.

Option B: This is an incorrect calculation and does not follow the reciprocal rule established by the first pair of numbers.
Option C: This is an incorrect calculation. It might be the result of a miscalculation or a different, unrelated mathematical operation.
Option D: This value is incorrect. The decimal point is misplaced, and the digits do not match the correct calculation of 1/14.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Analogy: Reciprocal Relationship as background academic context rather than a clinical decision trigger.
This question tests logical reasoning and basic mathematical skills, which are essential for the non-nursing, general aptitude sections of competitive nursing examinations.
While not directly clinical, numerical proficiency is a foundational skill for nurses, crucial for tasks like medication dosage calculation, interpreting lab results, and monitoring vital signs.
What if the first pair was 13:169? The relationship would be squaring the number (13² = 169). In that case, for the number 14, the answer would be 14² = 196.

How to Approach the Question

First, analyze the relationship between the first number (13) and the second number (0.07692) in the given pair.
Consider common mathematical operations such as addition, subtraction, multiplication, division, squares, cubes, or reciprocals.
Test the reciprocal relationship by calculating 1 ÷ 13. The result is 0.076923..., which matches the given second number when rounded to five decimal places.
Now that the rule is confirmed, apply this same operation (taking the reciprocal) to the third number, 14.
Calculate 1 ÷ 14, which equals 0.0714285...
Round the result to five decimal places, which gives 0.07143.

Concept Tested & Keywords

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Practise the full DSSSB -28 August 2019 (Shift-2)

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