Select the number pair in which the two numbers are related in the same way as the two numbers of th...........

Logical Reasoning (MTS) Analogy

Select the number-pair in which the two numbers are related in the same way as the two numbers of the following number-pair.

6 : 85

This questions was previously asked in

SSC MTS 2nd Nov 2021 Shift-3

View All SSCMTS Previous Year Papers

7 : 112

9 : 181

5 : 50

8 : 114

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Explanation:

- The relationship for the number-pair 6 : 85 can be understood through the expression: (n^3 - 1). Applying this to 6: (6^3 - 1) = 216 - 1 = 215. Thus, this is not the original pattern given, let’s try another pattern.

- Another examination of the relationship follows: Multiply the first number by consecutive integers and add the even numbers in progression. For example, with 6 : 85, (6*14 + 1) = 84 + 1 = 85.

- Checking Option 1: 7 : 112, (7*14 + 7) = 98 + 14 = 112. This does not follow.

- Checking Option 2: 9 : 181, (9*20 + 1) = 180 + 1 = 181. This pattern holds true.

- Checking Option 3: 5 : 50, (5*10 + 0) = 50. This does not match.

- Checking Option 4: 8 : 114, (8*14 + 2) = 112 + 2 ? 114. This doesn't fit.

Hence, the correct relationship is Option 2: 9 : 181.