Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..
Prime factors
They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..
(i) Roster Method
This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..
Question 3
Question: What is a prime number? Answer: A number which has only two factors, namely 1 and then number itself is called a prime number..
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..Example 1:
01. If P(n) is the statement n 2 -n+41 is prime, prove that P(1), P(2) are true but P(41) is not tru..
Irrational numbers 1 Animation
Rational and Irrational Numbers..
Rational and Irrational Numbers..Suggested answer:
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..Question 1 Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..See what our Users say :
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