Prove that the square of any positive integer is of the form 5q,5q+1,5q+4 for some integer q
Prove that the square of any positive integer is of the form 5q, 5q+1, 5q+4 for some integer q
Category: Real Numbers Solved Questions Class 10
Prove that the square of any positive integer is of the form 4q or 4q+1, for some integer q
Prove that the square of any positive integer is of the form 4q or 4q+1, for some integer q
Prove that the square of any positive integer is of the form 3m or, 3m+1 but not of the form 3m+2
Prove that the square of any positive integer is of the form 3m or, 3m+1 but not of the form 3m+2
Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer
Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer
Show that the square of an odd positive integer is of the form 8q+1, for some integer q
Show that the square of an odd positive integer is of the form , for some integer q
If a and b are two odd positive integers such that a>b, then prove that one of the two numbers (a+b)/2 and (a-b)/2 is odd and the other is even
If and are two odd positive integers such that , then prove that one of the two numbers and is odd and the other is even
Prove that the product of two consecutive positive integers is divisible by 2
Prove that the product of two consecutive positive integers is divisible by 2
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