Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (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)
94 - 11
Understanding the Logical Reasoning Problem
This question is a type of logical reasoning puzzle where we are given a set of pairs, and we need to identify the one pair that does not follow the same rule or pattern as the others. The rule specified is that operations should be performed on the whole numbers provided in each pair, not on their individual digits.
Analyzing the Given Number Pairs
We are given four pairs of numbers:
- 153 - 17
- 261 - 29
- 94 - 11
- 207 - 23
Our task is to find a mathematical relationship that connects the numbers within three of these pairs and see which pair does not fit that relationship. The relationship could be addition, subtraction, multiplication, division, or a combination of these.
Discovering the Pattern in the Number Pairs
Let's examine the relationship between the first number and the second number in each pair. Often, in such problems, simple multiplication or division is the key pattern. Let's try dividing the first number by the second number for each pair:
| Pair | Calculation | Result |
|---|---|---|
| 153 - 17 | $\frac{153}{17}$ | 9 |
| 261 - 29 | $\frac{261}{29}$ | 9 |
| 94 - 11 | $\frac{94}{11}$ | $\approx 8.545$ (Not a whole number) |
| 207 - 23 | $\frac{207}{23}$ | 9 |
From the calculations above, we can see a clear pattern:
- For the pair 153 - 17, the first number (153) is 9 times the second number (17), because $17 \times 9 = 153$.
- For the pair 261 - 29, the first number (261) is 9 times the second number (29), because $29 \times 9 = 261$.
- For the pair 207 - 23, the first number (207) is 9 times the second number (23), because $23 \times 9 = 207$.
However, for the pair 94 - 11, the first number (94) is not 9 times the second number (11). The product of 11 and 9 is $11 \times 9 = 99$. Since 94 is not equal to 99, this pair does not follow the same multiplication pattern as the other three pairs.
Identifying the Odd One Out
Based on the discovered pattern, the pairs 153 - 17, 261 - 29, and 207 - 23 all share the relationship where the first number is exactly 9 times the second number. The pair 94 - 11 does not share this relationship.
Therefore, the pair that does NOT belong to the group is 94 - 11.
Conclusion
The pair 94 - 11 is the odd one out because the ratio of the first number to the second number is not 9, unlike the other three pairs where the ratio is 9.
Revision Table: Summarizing the Pattern
| Pair | Relationship Checked | Follows Pattern (Is 1st number = 9 * 2nd number?) |
|---|---|---|
| 153 - 17 | $153 \div 17 = 9$ | Yes ($153 = 9 \times 17$) |
| 261 - 29 | $261 \div 29 = 9$ | Yes ($261 = 9 \times 29$) |
| 94 - 11 | $94 \div 11 \approx 8.545$ | No ($94 \neq 9 \times 11$) |
| 207 - 23 | $207 \div 23 = 9$ | Yes ($207 = 9 \times 23$) |
Additional Information on Odd One Out Problems
Odd one out problems in logical reasoning test your ability to identify patterns. The patterns can be based on various mathematical operations, properties of numbers (like prime numbers, square numbers, etc.), or even non-mathematical relationships (like categories, shapes, etc., in other types of questions). The key is to systematically test potential relationships and see which one consistently applies to most items in the set, thus revealing the item that deviates from the rule.
Important Questions from Number Based
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different. (Any operation on digits is not allowed)
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
