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ODD NUMBERS Numbers which are not multip...

ODD NUMBERS Numbers which are not multiples of 2 are called odd numbers.

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Odd Numbers

Odd numbers and even numbers play a very important role in the field of mathematics. One needs to have a clear knowledge in the best way. In this chapter, we will study odd numbers. We will also have a look at the solved problems of the odd number to get a good and clear idea about it.

What are odd numbers?

The numbers which are not multiples of 2 are called odd numbers. It can be explained that the number form 2k+1 is called an odd number where k ∈ Z (i.e. integers). When it comes to the set or numbers of integers on a number line, it can either be even or odd. Let us have a look at more key points as under:

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Cube of an odd number is odd.

In each of the following questions, two rows of numbers are given. The resultant number of each row is to be worked out separately based on the following rules and then answer the questions that follow. The operation of numbers progress from left to right. Rules - (i) If an odd number is followed by another odd number which is a perfect square, then they are to be added. (ii) If an even number is followed by an odd number or an odd number is followed by an even number, they are to be multiplied. (iii) If an even number is followed by another even number, the first number is to be divided by the second number. (iv) If an even number which is a multiple of 5 is followed by an odd number which is also a multiple of 5, then second number is to be subtracted from the first number. 7 9 9 72 8 25 What is the sum of the resultants of both rows?

In each of the following questions, two rows of numbers are given. The resultant number of each row is to be worked out separately based on the following rules and then answer the questions that follow. The operation of numbers progress from left to right. Rules - (i) If an odd number is followed by another odd number which is a perfect square, then they are to be added. (ii) If an even number is followed by an odd number or an odd number is followed by an even number, they are to be multiplied. (iii) If an even number is followed by another even number, the first number is to be divided by the second number. (iv) If an even number which is a multiple of 5 is followed by an odd number which is also a multiple of 5, then second number is to be subtracted from the first number. 4 5 3 P 6 5 If P is the resultant of the first row, what is the difference of the resultants of both rows?

The sum of all 2digited odd numbers is

The sum of all 2 digit odd numbers is

Cube of an odd number is even.

In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to the right. Rules: (i) if a two-digit odd number is followed by a prime number. (ii) If an even number is followed by another even number, the first number is to be divided by the second number. (iii) If an odd number is followed by a composite odd number, the first number is to be added to the second number . (iv) If an even number which is multiple of 5 is followed by another number which is a multiple of 5, the second number is to be subtracted from the first number. (v) If a number which is perfect square , the resultant number is the product of the square roots of the two numbers. 50 15 27 15 5 7 What is the sum of the resultants of the two rows ? 1) 62 2) 630 3) 587 4) 392 5) None of these