Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. value of base 2). Since digital electronics have only these two states (either 0 or 1), so binary number is most preferred in modern computer engineer, networking and communication specialists, and other professionals.Whereas Decimal number ... Read More

Given:The salary of a person was increased by 15%. Increased salary is Rs. 9936.To do: Find the initial salary.Solution:Let his initial salary = $x$xxincreased amount of salary = 15% of xx $x$=$\frac{15}{100}x$Present salary = Initial salary $+$ Increased salary= x+15100×xx + \frac{15}{100}\times{x}$x+\frac{15}{100}x$ =$\frac{100x+15x}{100}$=  $\frac{100x+15x}{100}$ =$\frac{115x}{100}$Present salary =  9936115x100\frac{115x}{100}$\frac{115x}{100}$ = 9936$x = \frac{9936\times100}{115}$$x = ... Read More

Given:  Monthly drawing of Menon and Thomas is Rs2000Interest rate is 10%p.aTo do:1) in the beginning of every month.2)at the end of every month.3)in the middle of every month.Solution:Case (1) : If money is drawn at the beginning of every month :Like January 1, February 1, March 1, ...December 1 of ... Read More

Rayon is made of cellulose derived from plant sources.Rayon was the first man-made fibre developed in the late 19th century as a substitute for silk.It is the first artificial textile material composed of regenerated and purified cellulose derived from plant sources.

Decimal place value:A decimal number consists of a whole number part and a fractional part, separated by a decimal point.Place Value of a digit:Depending upon the position of a digit in a number, it has a value called its place value. For example, the place value of the digit 6 ... Read More

The compound plaster of paris is made by heating gypsum at 120 degree Celcius. The chemical formula for the plaster of paris is (CaSO4)2. H2O.Plaster of paris is prepared from gypsum and  gypsum is found in abundant quantity near Paris, therefore known as Plaster of Paris.

Algebra It is a branch of mathematics that deals in representing numbers through variables. Algebra uses letters (like x or y) or other symbols in place of values For example: $x + 2 = 8$ "$x$" is used in place of a value we don't know and is called "variable". ... Read More

Reactivity series (or activity series) is an empirical, calculated, and structurally analytical progression[1] of a series of metals, arranged by their "reactivity" from highest to lowest.Silver, Gold and Platinum are the last elements of Reactivity Series. Still Silver and Gold are more Reactive than Platinum.No, Gold, generally, does not replace ... Read More

A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once.There are different types of curves.For example,Upward curve, Downward curve, Closed curve, Open curve etc.

Given : (3x+2−9)÷8 = 9\left( 3^{x+2} -9\right) \div 8\ =\ 9$(3^{x+2}-9)\div 8 = 9$ To do: We have to find $x$ Solution:(3x+2−9)÷8 = 9\left( 3^{x+2} -9\right) \div 8\ =\ 9$(3^{x+2}-9)\div 8 = 9$ $\frac{3^{x+2}-9}{8}=9$$3^{x+2}-9=9\times8$ $3^{x+2}=72+9$$3^x\times3^2=81$$3^x\times9=81$$3^x=\frac{81}{9}$$3^x=9$$3^2=3^2$Therefore the value of $x \ is \ 2$