Select the option that is related to the third number on the same basis as the second number is related to the first number.
0.0225 : 0.15 :: 0.000169 : ?

1. A

   0.0013

2. B

   0.1

3. C

   0.013

4. D

   1.3

Appeared in: DSSSB - 29 August 2019 (Shift-2)

Explanation

• The core logic of the analogy is the square root function.
• The second number in the first pair, 0.15, is the square root of the first number, 0.0225.
• Applying this rule, the missing number must be the square root of 0.000169.
• The square root of 169 is 13. Since 0.000169 has six decimal places, its square root will have three decimal places.
• Therefore, the correct answer is 0.013.

Why Other Options Were Wrong

• Option A: This value, 0.0013, has four decimal places. It would be the square root of 0.00000169, not 0.000169.
• Option B: This value, 0.1, is the square root of 0.01. It does not relate to the number 0.000169.
• Option D: This value, 1.3, is the square root of 1.69. The decimal point is placed incorrectly for the given number.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Numerical Analogy and Square Roots as background academic context rather than a clinical decision trigger.
• This question tests numerical reasoning and basic mathematical skills, which are foundational for non-nursing subjects in nursing entrance exams.
• While not directly clinical, proficiency in rapid and accurate calculation is essential in nursing for tasks like drug dosage calculations, IV drip rate adjustments, and interpreting lab values.
• What if the question was 0.0225 : 0.003375? The relationship would change from square root to cube (0.15³ = 0.003375 is incorrect, but 0.0225 * 0.15 = 0.003375). The relationship would be multiplication by the square root. Then for 0.000169, the answer would be 0.000169 * 0.013 = 0.000002197. This highlights the importance of correctly identifying the primary relationship.

How to Approach the Question

• First, analyze the given pair of numbers (0.0225 : 0.15) to determine the mathematical relationship between them.
• Consider common operations like addition, subtraction, multiplication, division, squares, cubes, square roots, and cube roots.
• Test the hypothesis that the second number is the square root of the first (√0.0225 = 0.15). This is correct.
• Apply the same rule (square root) to the third number (0.000169) to find the missing fourth number.
• Calculate the square root of 0.000169, paying close attention to the placement of the decimal point.
• Select the option from the list that matches your calculated result (0.013).

Concept Tested & Keywords

• Concept Tested: Numerical Analogy and Square Roots
• Stem keywords: analogy, number series, 0.0225 : 0.15, 0.000169 : ?
• Lead-in keywords: Select the option, related to

Question ID

Qb-JF04eHapj1SQLbX-CpP

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