Number Difference Analysis: Spotting the Outlier
The question asks us to identify which number among the given options is different from the rest. To solve this, we need to examine the mathematical properties of each number and find a common pattern shared by most of them.
Perfect Square Pattern Identification
Let's analyze each number to see if there's a consistent mathematical property:
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Option 1: 121
We check if 121 is a perfect square. A perfect square is a number resulting from squaring an integer. We find that \(11 \times 11 = 121\). Thus, 121 is the square of 11, written as \(11^2\). -
Option 2: 189
Next, we examine 189. We look for an integer whose square equals 189. We know \(13^2 = 169\) and \(14^2 = 196\). Since 189 falls between these two consecutive perfect squares, it cannot be a perfect square itself. -
Option 3: 169
For 169, we check if it's a perfect square. We find that \(13 \times 13 = 169\). Therefore, 169 is the square of 13, written as \(13^2\). -
Option 4: 144
Lastly, we consider 144. We find that \(12 \times 12 = 144\). So, 144 is the square of 12, written as \(12^2\). -
Option 5: (Empty)
This option does not contain a number and therefore cannot be compared based on mathematical properties. It is disregarded in the pattern analysis.
Determining the Different Number
Based on the analysis, we can see a clear pattern:
- 121 is a perfect square (\(11^2\)).
- 169 is a perfect square (\(13^2\)).
- 144 is a perfect square (\(12^2\)).
The number 189 does not fit this pattern as it is not a perfect square.
Therefore, the number that is different from the others is 189.
Similar Questions
- Four of the following five are alike in a certain way and hence form a group. Which is the one that does not belong to that group?
A. BRIGHT: DSJHF
B. CUSTOM: FVUUP
C. FLIGHT: HNIJI
D. CHANCE: EKBMF
E. STRONG: VUQPR - Find the number that doesn't belong:
11, 13, 17, 19 - A coding rule is followed by Roll numbers ending with an even digit belong to Batch 1 and Roll numbers ending with an odd digit
belong to Batch 2.
Identify the roll number for Batch 1 and Batch 2. - Choose the number that is different from the others.
Which figure breaks the pattern?
- Guitar, Piano, Violin, Microphone - which is the odd one?
Which one of the following figures breaks the pattern followed by the others?
Choose the figure that is different from the rest in terms of the observed sequence or rule.
- Identify the odd pair:
- Apple, Banana, Carrot, Mango - which is the odd one?
Important Questions from Classification
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: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)Three of the following numbers are alike in a certain way and one is different. Pick the odd one out.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/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.)
The following contains two pairs of words which are related to each other in a certain way. Three of the following four word-pairs are alike as these have the same relationship and thus form a group. Which word-pair does NOT belong to that group?
(The words must be considered as meaningful English words and must not be grouped based on the number of letters/number of consonants/vowels in the word)Three of the following four options 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 their 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.)
The following contains two pairs of words which are related to each other in a certain way. Three of the following four word-pairs are alike as these have the same relationship and thus form a group. Which word-pair does NOT belong to that group?
(The words must be considered as meaningful English words and must not be grouped based on the number of letters/number of consonants/vowels in the word)
