Identifying the Odd One Out: Number Pattern Analysis
The question asks us to find the number among 343, 125, 27, and 81 that does not follow the same pattern as the others. We need to analyze the mathematical properties of each number.
Number Pattern Analysis
Let's examine each option:
- Option 1 (343): This number can be expressed as the cube of 7. Calculation: $7 \times 7 \times 7 = 343$. In LaTeX notation: $7^3$.
- Option 2 (125): This number is the cube of 5. Calculation: $5 \times 5 \times 5 = 125$. In LaTeX notation: $5^3$.
- Option 3 (27): This number is the cube of 3. Calculation: $3 \times 3 \times 3 = 27$. In LaTeX notation: $3^3$.
- Option 4 (81): This number is not a perfect cube of an integer. It can be expressed as $9 \times 9 = 81$ (a perfect square, $9^2$) or $3 \times 3 \times 3 \times 3 = 81$ (a power of 3, $3^4$). It does not fit the $n^3$ pattern.
Conclusion
The numbers 343, 125, and 27 are all perfect cubes ($7^3$, $5^3$, $3^3$). The number 81 is not a perfect cube. Therefore, 81 is the odd one out because it does not share the property of being a perfect cube with the other numbers.
Similar Questions
- Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair 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.) - Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster 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.) - Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster 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.) - Four words have been listed, out of which three are alike in some manner and one is different. Select the odd one.
- Four geometric shapes have been listed, out of which three are alike in some manner and one is different. Select the odd one.
- Four parts of the human body are listed, out of which three are alike in some manner and one is different. Select the odd one.
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Valley, Plateau, Glacier, Hill
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Sword, Dagger, Spade, Knife
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Jaipur, Tinsukia, Dehradun, Kohima
Identify the letter-pair that does NOT belong to the following group.
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?
