Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.

$$
34:85 = 48:? = 62:155
$$

Appeared in: NVS- 2025

Explanation

The core relationship in each pair is that the second number is 2.5 times the first number.
For the first pair: 34 × 2.5 = 85.
For the third pair: 62 × 2.5 = 155.
Applying this rule to the second pair, the missing number is calculated as 48 × 2.5 = 120.

Option A: This option implies a multiplication factor of 148 ÷ 48 ≈ 3.08, which does not match the consistent factor of 2.5 found in the other pairs.
Option B: This option implies a multiplication factor of 105 ÷ 48 ≈ 2.19, which is inconsistent with the established pattern of multiplying by 2.5.
Option C: This option implies a multiplication factor of 100 ÷ 48 ≈ 2.08, which does not follow the logic derived from the given pairs.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Analogy and Logical Reasoning as background academic context rather than a clinical decision trigger.
This question tests logical and analytical reasoning, a fundamental skill for nurses.
Nurses use similar deductive reasoning for tasks like calculating drug dosages, interpreting vital sign trends, and identifying patterns in a patient's condition.
For example, if a patient's heart rate consistently increases by 10 bpm for every 1°C rise in temperature, a nurse can anticipate the heart rate at a different temperature, similar to finding the missing term in this analogy.

How to Approach the Question

First, identify the question type. This is a number analogy problem, often written as A:B :: C:D.
Examine the relationship between the numbers in the complete pairs provided (34:85 and 62:155).
Look for common mathematical operations: addition, subtraction, multiplication, division, squares, cubes, or a combination.
In this case, test division: 85 ÷ 34 = 2.5. Verify this with the other pair: 155 ÷ 62 = 2.5. The relationship is consistent.
Apply the discovered rule (multiply the first number by 2.5) to the incomplete pair (48:?) to find the answer.
Alternatively, check for patterns across the pairs (e.g., an arithmetic progression), as this can provide a second method to confirm your answer.

Concept Tested & Keywords

QWwqGlDhDRmwCFnbhF78Q1

Practise the full NVS- 2025

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