CT 2: Classification of Numbers

1.If a number is divisible by two co-prime numbers, then it is also divisible by

2. Which of the following is true for two co-prime numbers?

3. Two consecutive natural numbers are always ________.

4. Consider the following statements:

1. 7710312401 is divisible by 11.

2. 173 is a prime number.

Which of the statements given above is/are correct?

5. Which of the options below gives a pair of co-prime numbers?

6. Consider the following statements :

1. There exists only one prime number p such that (17p + 1) is a square.

2. If x is the product of 10 consecutive prime numbers starting from 2, then (x + 1) is also a prime number.

Which of the above statements is/are correct?

7. If n is a natural number and , where p₁, p₂, p₃ are distinct prime factors, then the number of prime factors for n is

8. Consider the following statements :

Statement A - 1 is a prime number as it is only divisible by itself.

Statement B - 22/7 - π is a positive number.

Then which of the following options is true regarding statements ?

9. Given below are two statements

Statement I: The average of all prime numbers between 30 and 50 is 38.9.

Statement II: The average of the first 15 natural numbers is 150.

In light of the above statements, choose the correct answer from the options given below

10. Which of the following pairs represents the co-prime numbers?