Analyzing the Number Difference Question
The question asks us to identify which number among 64, 49, 32, and 48 is different from the others. We need to find a logical reason or pattern that applies to three of the numbers but not the fourth.
Examining Number Properties
Let's look at the properties of each number:
- 64: Can be represented as $8^2$ (a perfect square) or $4^3$ (a perfect cube) or $2^6$.
- 49: Can be represented as $7^2$ (a perfect square).
- 32: Can be represented as $2^5$. It is neither a perfect square nor a perfect cube.
- 48: Can be represented as $16 \times 3$ or $2^4 \times 3$. It is neither a perfect square nor a perfect cube.
Finding the Distinguishing Pattern
Several patterns might seem plausible initially:
- Perfect Squares: 64 and 49 are perfect squares. 32 and 48 are not. This doesn't isolate one number.
- Powers of 2: 64 ($2^6$) and 32 ($2^5$) are powers of 2. 49 and 48 are not. This doesn't isolate one number.
- Prime Factorization: 64 ($2^6$), 49 ($7^2$), and 32 ($2^5$) are powers of a single prime number. 48 ($2^4 \times 3$) has two distinct prime factors. This pattern isolates 48, not 32.
Let's consider another simple comparison. We can compare the numbers to a fixed value, like 40.
- 64 is greater than 40 ( $64 > 40$ ).
- 49 is greater than 40 ( $49 > 40$ ).
- 32 is less than 40 ( $32 < 40$ ).
- 48 is greater than 40 ( $48 > 40$ ).
Based on this comparison, the numbers 64, 49, and 48 share the property of being greater than 40. The number 32 does not share this property.
Conclusion
Therefore, 32 is the number that is different from the others because it is the only number in the list that is not greater than 40.
Similar Questions
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?
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
(NOTE: The odd one out is not based on the number of vowels or consonants in the word)
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
(NOTE: The odd one out is not based on the number of vowels or consonants in the word)
Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.
(NOTE: The odd one out is not based on the number of vowels or consonants in the word)
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 vowels or consonants in the word)
Three of the following four letter-clusters are alike in a certain way and one is different.Pick the odd one out.
(NOTE: The odd one out is not based on the number of vowels or consonants in the word)
- Find the odd one out:
- Guitar, Piano, Violin, Microphone - which is the odd one?
Which one of the following figures breaks the pattern followed by the others?
- Find the odd one out:
Important Questions from Classification
Directions for the following 3 (three) items : consider the given information and answer the three items that follow.
A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order).
Further 1. Lecturer from Kanpur is specialized in Geography
2. Lecturer D is from Shillong
3. Lecturer C from Delhi is specialized in Sociology
4. Lecturer B is specialized in neither History nor Mathematics
5. Lecturer A who is specialized in Economics does not belong to Hyderabad
6. Lecturer F who is specialized in Commerce belongs to Srinagar
7. Lecturer G who is specialized in Statistics belongs to Chennai
Who is specialized in Geography?
A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order).
Further 1. Lecturer from Kanpur is specialized in Geography
2. Lecturer D is from Shillong
3. Lecturer C from Delhi is specialized in Sociology
4. Lecturer B is specialized in neither History nor Mathematics
5. Lecturer A who is specialized in Economics does not belong to Hyderabad
6. Lecturer F who is specialized in Commerce belongs to Srinagar
7. Lecturer G who is specialized in Statistics belongs to Chennai
To which city does the Lecturer specialized in Economics belong?
A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order).
Further 1. Lecturer from Kanpur is specialized in Geography
2. Lecturer D is from Shillong
3. Lecturer C from Delhi is specialized in Sociology
4. Lecturer B is specialized in neither History nor Mathematics
5. Lecturer A who is specialized in Economics does not belong to Hyderabad
6. Lecturer F who is specialized in Commerce belongs to Srinagar
7. Lecturer G who is specialized in Statistics belongs to Chennai
Who of the following belongs to Hyderabad?
In a school, there are five teachers A, B, C, D and E. A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches maximum numb, of subjects?
How many triangles are there in the given figure?
