Analyzing the Number Pair Relationships

The question requires identifying the number pair that differs in its relationship compared to the others. We must analyze the connection between the first number (A) and the second number (B) in each pair.

Relationship Pattern Identification

Let's examine each pair by checking if A is a multiple of B ($ A = k \times B $) and comparing the multiplier ($ k = \frac{A}{B} $) with B.

• Option 1: 20 : 5

  The quotient is $ \frac{20}{5} = 4 $. Here, $ k = 4 $. Comparing $ k $ with B: $ 4 \neq 5 $. So, $ k \neq B $.

• Option 2: 36 : 6

  The quotient is $ \frac{36}{6} = 6 $. Here, $ k = 6 $. Comparing $ k $ with B: $ 6 = 6 $. So, $ k = B $.

• Option 3: 56 : 8

  The quotient is $ \frac{56}{8} = 7 $. Here, $ k = 7 $. Comparing $ k $ with B: $ 7 \neq 8 $. So, $ k \neq B $.

• Option 4: 42 : 7

  The quotient is $ \frac{42}{7} = 6 $. Here, $ k = 6 $. Comparing $ k $ with B: $ 6 \neq 7 $. So, $ k \neq B $.

Determining the Odd Pair

Options 1, 3, and 4 exhibit the relationship where the multiplier (quotient A/B) is different from the second number (B).

Option 2 stands out because the multiplier (6) is equal to the second number (6).

Final Answer Selection

The pair 36 : 6 is the odd one out based on this relationship difference.