Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 17)
17.
The smallest 3 digit prime number is:
Answer: Option
Explanation:
The smallest 3-digit number is 100, which is divisible by 2.
100 is not a prime number.
101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.
101 is a prime number.
Hence 101 is the smallest 3-digit prime number.
Discussion:
22 comments Page 1 of 3.
Kusuma jayram said:
6 years ago
As we all know that the smallest three-digit number is 100 and it's square root is 10 but it is not a prime number as given in the question.
101 is the smallest one and is greater than 100 also, so we need to consider the primary numbers till 11 (11>10) and this can be applicable in all cases.
101 is the smallest one and is greater than 100 also, so we need to consider the primary numbers till 11 (11>10) and this can be applicable in all cases.
(1)
Ayushi said:
7 years ago
As 101 is not divisible by any number from 2 to 11 so for it to be a composite number it must be a product of 2 or more numbers greater than 11 which is not possible as 101<11^2< product of 2 or more numbers greater than 11.
Shubham garg said:
7 years ago
Number 101 is not a prime number because it can be divisible by 1, 3, or itself and the prime number definition says that any number which can be divisible be 1 or itself a prime number. So 101 is not a prime number.
Sharat J said:
1 decade ago
I am doing this in even simplest way.
101=1+0+1=2 //prime number.
103=1+0+3=4 //not prime number.
109=1+0+9=10 //not prime number.
113=1+1+3=5 //prime number.
But, 2 is small then 5 so the answer is 101.
101=1+0+1=2 //prime number.
103=1+0+3=4 //not prime number.
109=1+0+9=10 //not prime number.
113=1+1+3=5 //prime number.
But, 2 is small then 5 so the answer is 101.
Puneet said:
1 decade ago
No.
For example 97 is a prime number,
But 9+7=16 (which is a prime number).
Also 127 is a prime number, but 1+2+7=10 ain't.
Similarly 103, 107, 119, 127, 149 etc etc.
For example 97 is a prime number,
But 9+7=16 (which is a prime number).
Also 127 is a prime number, but 1+2+7=10 ain't.
Similarly 103, 107, 119, 127, 149 etc etc.
Manoj said:
9 years ago
(11)^2 > = 101.
the prime numbers less than or equal to 11 are 2, 3, 5, 7, 11.
Clearly,none of them divides 101.
So, 101 is a prime number.
the prime numbers less than or equal to 11 are 2, 3, 5, 7, 11.
Clearly,none of them divides 101.
So, 101 is a prime number.
Komal Gajbhiye said:
8 years ago
Except 2 and 3 every prime number can b written in the form of 2k+or-1.
Here 101 is 2*50+1.
Which means k=50.
Therefore 101 is prime number.
Here 101 is 2*50+1.
Which means k=50.
Therefore 101 is prime number.
Shaban Mirimu said:
5 years ago
Apply digital root, 1 + 0 + 0 = 1 and 1 is not a prime number.
101---1 + 0 + 1 = 2 and 2 is a prime number. So, 101 is the answer.
101---1 + 0 + 1 = 2 and 2 is a prime number. So, 101 is the answer.
(15)
Arya said:
1 decade ago
Why we using this step (square root on 101 and also < 11) I can't understand please explain me?
Achsah said:
7 years ago
Number 101 is not divisible by 3. It is a prime number. Please explain the solution clearly.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers