Four pairs of numbers have been given out of which three are alike in some manner, while one is different. Choose the odd one.
36 : 13
Pair Analysis Method
The task requires us to identify the pair of numbers that does not fit a pattern shared by the other pairs. We need to carefully examine each pair to find a common mathematical link.
Analyzing Each Number Pair
Let's denote each pair as A : B and investigate the relationship between A and B.
- Pair 1: 54 : 17
We check if there's a relationship involving multiplication and addition. Let's try multiplying the second number (B=17) by 3 and adding 3.
Calculation: $3 \times 17 + 3 = 51 + 3 = 54$.
The result, 54, matches the first number (A) in the pair. So, this pair fits the pattern $A = 3B + 3$.
- Pair 2: 36 : 13
We apply the same potential pattern, $A = 3B + 3$, to this pair.
Calculation: $3 \times 13 + 3 = 39 + 3 = 42$.
The first number in the pair is 36. Since $36 \neq 42$, this pair does not follow the pattern $A = 3B + 3$.
- Pair 3: 90 : 29
Let's test the pattern $A = 3B + 3$ again.
Calculation: $3 \times 29 + 3 = 87 + 3 = 90$.
The result, 90, matches the first number (A). This pair fits the pattern $A = 3B + 3$.
- Pair 4: 72 : 23
We test the pattern $A = 3B + 3$ one more time.
Calculation: $3 \times 23 + 3 = 69 + 3 = 72$.
The result, 72, matches the first number (A). This pair also fits the pattern $A = 3B + 3$.
Identifying the Pattern Across Pairs
After analyzing all the pairs, we can see a consistent pattern ($A = 3B + 3$) in three of them: 54 : 17, 90 : 29, and 72 : 23. The pair 36 : 13 is the only one that deviates from this rule.
Here's a summary of our findings:
| Pair (A : B) | Relationship Check ($3B + 3$) | Does it match A? |
|---|---|---|
| 54 : 17 | $3 \times 17 + 3 = 54$ | Yes |
| 36 : 13 | $3 \times 13 + 3 = 42$ | No (A is 36) |
| 90 : 29 | $3 \times 29 + 3 = 90$ | Yes |
| 72 : 23 | $3 \times 23 + 3 = 72$ | Yes |
Determining the Odd Pair
The pair 36 : 13 is identified as the "odd one out" because it does not satisfy the mathematical relationship $A = 3B + 3$ that holds true for the other pairs.
Conclusion on the Odd Pair
Based on the consistent pattern found in the majority of the pairs, the unique pair is 36 : 13.
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Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
