Number Doesn't Belong: Prime Number Analysis
The question asks us to identify the number from the given list that does not share a common property with the others. The list of numbers is 103, 109, 107, and 111.
Analyzing Number Properties
To find the number that doesn't belong, let's examine the properties of each number, particularly focusing on whether they are prime or composite.
- Prime Numbers: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Composite Numbers: A composite number is a natural number that has more than two positive divisors.
Checking Each Number
- 103: Let's check for divisors. It's not divisible by 2, 3 (sum of digits = 4), 5, 7 (103 / 7 ≈ 14.7), 11 (alternating sum = 1-0+3 = 4). The square root of 103 is approximately 10.1. We only need to check primes up to 10 (2, 3, 5, 7). Since it's not divisible by any of these, 103 is a prime number.
- 109: Checking for divisors: not divisible by 2, 3 (sum = 10), 5, 7 (109 / 7 ≈ 15.5), 11 (alternating sum = 1-0+9 = 10). The square root of 109 is approximately 10.4. We check primes up to 10 (2, 3, 5, 7). Since it's not divisible by these, 109 is a prime number.
- 107: Checking for divisors: not divisible by 2, 3 (sum = 8), 5, 7 (107 / 7 ≈ 15.3), 11 (alternating sum = 1-0+7 = 8). The square root of 107 is approximately 10.3. We check primes up to 10 (2, 3, 5, 7). Since it's not divisible by these, 107 is a prime number.
- 111: Checking for divisors:
- Is it divisible by 2? No, it's an odd number.
- Is it divisible by 3? Let's sum the digits: \(1 + 1 + 1 = 3\). Since 3 is divisible by 3, 111 is divisible by 3.
- Calculation: \(111 \div 3 = 37\).
Conclusion
Comparing the numbers:
- 103 is prime.
- 109 is prime.
- 107 is prime.
- 111 is composite.
The numbers 103, 109, and 107 are all prime numbers. The number 111 is a composite number because it is divisible by 3 and 37.
Therefore, the number that doesn't belong in the list is 111.
Similar Questions
- Apple, Banana, Carrot, Mango - which is the odd one?
Choose the figure which is different from the rest?
Among the given figures, identify the one that does not belong to the group based on the pattern.
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)
- 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. FHJL
B. KMOQ
C. PRTV
D. ACED
E. WYAC - Find the different term:
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)
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?
