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
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Show that the square of an odd positive integer is of the form , for some integer q
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
At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10...
At minutes past 2 p.m., the time needed by the minutes hand of a clock to show 3 p.m. was found to be 3 minutes less than t^2/4 minutes. Find t.
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the...
If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)
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