Math Problem Statement

5 Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed) (8, 44, 3) (12, 60, 3) Ans 1. (12, 68, 5) 2. (8, 50, 2) 3. (17, 56, 9) 4. (23, 98, 5)

Solution

To solve this problem, we need to identify a consistent mathematical relationship between the numbers in each set (8, 44, 3) and (12, 60, 3) and find a similar relationship in one of the given answer choices.

Let's break this down step by step:

Step 1: Identify the pattern in the given sets

Set 1: (8, 44, 3)
We are looking for a relationship between the numbers 8, 44, and 3. One possibility is that:

  • 8×5.5=448 \times 5.5 = 44 (multiply 8 by 5.5 to get 44)
  • 44÷14.67344 \div 14.67 \approx 3 (This seems less straightforward. Let's check another approach.)

Instead of a clear multiplication or division rule, we look for a consistent rule with a better relationship.

Set 2: (12, 60, 3)
Similar checks:

  • 12×5=6012 \times 5 = 60
  • 60÷20=360 \div 20 = 3

This seems to follow a similar multiplication-dividing rule. Let's analyze if the third number is derived by dividing the second by a factor or using a different rule.

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Math Problem Analysis

Mathematical Concepts

Number Patterns
Multiplication
Division

Formulas

Multiplication: a × k = b
Division: b ÷ m = c

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grades 5-7