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Consider the mathematical statements: 2. $n(n+1)$ is divisible by 2. 2. $3^{2n}-1$ is divisible by 8. 3. $n^2-n+41$ is a prime integer. 4. If a set S contains n distinct objects, then the number of subsets of S is $2^n$. All these statements are concerned with natura..

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Based on the principle involved in mathematical induction, we are going to solve the problems. The solutions for problems are explained with a specific algorith..

Solution: 72% of 25 teachers are of mathematics subject Therefore, (100 - 72)%, i.e, 28% of 25 teachers are of other subject. Thus, their number = 28% of 25 = ( $\frac{28}{100}$ x 25) = 7 teache..

;">ii. Increase in temperature decreases the extent of adsorption % (x\ iii. The extent of adsorption ~ is related to the concentration ('c' molar) of the solution through the mathematical formula. -=k.c,/n m where c = equilibrium concentration of the solution when ads..

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As we know an equation is a mathematical statement where two expressions are equated. Examples: 2x + 5 = 11 3x - 6 = x + 12 By solution of the above equations we mean finding the values of the variable that satisfies the equation. In this section we will take a look at met..

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Age Word Problems 4:A father and his son are 36 years and 6 years old respectively. In how many years will the father be thrice as old as his son? Solution: We have to find the number of years in which, father will be thrice as old as his son. Let us set up an equation. Let x b..