Find the HCF of the following pairs of numbers: 56 and 88 Introduction In this problem, we are required to find the Highest Common Factor (HCF) of the numbers 56 and 88 using Euclid’s Division Algorithm. Video Solution Question Find the HCF of the following pairs of numbers: 56 and 88. Solution We use Euclid’s […]
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Find the HCF of the following pairs of numbers: 70 and 30 Introduction In this problem, we are required to find the Highest Common Factor (HCF) of the numbers 70 and 30 using a systematic method. Video Solution Question Find the HCF of the following pairs of numbers: 70 and 30. Solution We use Euclid’s
Find the HCF of the following pairs of numbers : 70 and 30 Read More »
Find the HCF of the following pairs of numbers: 32 and 54 Introduction In this problem, we are required to find the Highest Common Factor (HCF) of the numbers 32 and 54. We will use Euclid’s Division Algorithm to find the HCF. YouTube Video Question Find the HCF of the following pairs of numbers: 32
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Find the HCF of the following pairs of numbers: 18 and 24 Introduction In this problem, we are required to find the Highest Common Factor (HCF) of the numbers 18 and 24 using a systematic method. Video Solution Question Find the HCF of the following pairs of numbers: 18 and 24. Solution We use Euclid’s
Find the HCF of the following pairs of numbers : 18 and 24 Read More »
Show that the square of any positive integer cannot be of the form 3m + 2, where m is a natural number Introduction In this problem, we study the possible forms of the square of a positive integer. We will show that the square of any positive integer can never be written in the form
A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1, 3m or 3m + 2? Justify your answer. Introduction In this problem, we examine the square of a positive integer of the form 3q + 1. We
Show that the square of an odd positive integer can be of the form 6q + 1 or 6q + 3 for some integer q Introduction In this problem, we study the form of the square of an odd positive integer. We will show that the square of an odd positive integer can be written
Show that the square of an odd positive integer can be of the form 6q + 1 or 6q + 3 Read More »
Show that one and only one out of n, n+4, n+8, n+12 and n+16 is divisible by 5, where n is any positive integer Introduction In this problem, we study the divisibility of a set of five numbers. We will show that among the numbers n, n+4, n+8, n+12 and n+16, exactly one number is
Show that one and only one out of n, n+4, n+8, n+12 and n+16 is divisible by 5 Read More »
Show that the cube of a positive integer is of the form 6q + r, where q is an integer and r = 0, 1, 2, 3, 4, 5 Introduction In this problem, we study the possible forms of the cube of a positive integer. We will show that the cube of any positive integer
Show that the square of any positive integer cannot be of the form 6q + 2 or 6q + 5 for any integer q Introduction In this problem, we study the possible forms of the square of a positive integer. We will show that the square of any positive integer can never be written in