natural numbers

Two natural numbers differ by 50. The larger is greater than or equal to 10 times the smaller number decreased by 10. Find the greatest possible value of the smaller number. => 7 or 10 or 6.67 or 6..

At present we know that the atom is the smallest particle of an element, which may or may not have independent existence. It is made up of sub-atomic particles like electrons, protons and neutrons. Atoms of one type of element differ from those of the other due to different number of sub-..

Darwin believed that nature selects only those individuals, which have favourable variations and thereby have competitive advantage over others. This process is known as natural selection. The members of any particular species can develop and survive only when they are able to ..

It is primarily a process of differential reproduction. Some members of a population may have genes, which enable them to grow up and reproduce at a higher rate. This results in the formation of offspring having better chances of survival. Those organisms that produce large number of via..

Write an equation to find three consecutive odd natural numbers, if the product of the first and the third is four less than the square of the second. Let x be the first odd number. => x ( x - 4) = ( x + 2) 2 + 4 or x ( x + 4) = ( x + 2) 2 - 4 or x ( x + 2) = ( x + 4) ..

The formula S = n(n+1)(2n+1) 6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 18 natural numbers. => 222 or 2109 or 2127 or 2145..

Versatile Nature of Carbon - Although organic compounds are basically made up of carbon, hydrogen, oxygen and a few more elements, their number is far greater than the inorganic compounds which don't form bonds. At present almost five million organic compounds are known to use m..

Particle Nature of Light - According to wave theory when light falls on a metal surface, energy is continuously distributed over the surface. All the free electrons receive light energy and when the energy received exceeds that of work function, an electron may escape the surface. If we u..

. It indicates the natural relationships among organisms. It also provides a clear view on the evolutionary relationship between different groups of living organisms. The initial attempt towards a natural system of classification came from an English biologist, John Ray (1627-17..

Electronic Nature of Metals - Metals are the elements which form positive ions by losing electrons, while non-metals always gain electrons. All metals (except hydrogen) form positive ions by loosing electrons. Metals have 1 to 3 electrons in the outermost shell of their atom and non-metal..