Given: A group of children in a n orphanage are given 72 bedsheet 144 dresses and 216 handkerchiefs To do: Find the largest possible number of students in the orphanage Solution: $72 = 2 \times 2 \times 2 \times 3 \times 3$ $144 = 2\times 2 \times 2 ... Read More

When two or more reactants undergo chemical reaction to form a single product i.e they combine to form one product, then the reactions are called combination reactions.It may be presented in the following form A + B --> AB.Eg: H2 + Cl2 --> 2HCl

There are about 200 different types of cells present in the human body. Each type of cell is specialized to carry out a particular function. Few of them are:1. Red blood cells.2. White blood cells.3. Platelets.4. Skin cells.5. Nerve cells (Neurons).6. Fat cells.7. Muscle cells.8. Stem cells.9. Bone cells.

To do: Compare  $\frac{2}{7}$ and $\frac{-3}{-8}$. Solution:  $\frac{2}{7}$ and $\frac{-3}{-8}$.  are same as  $\frac{2}{7}$ and $\frac{3}{8}$. [as minus signs cancel off] $\frac{2}{7} = \frac{2\times8}{7\times8}=1\frac{6}{56}$; $\frac{3}{8} = \frac{3\times7}{8\times7} = \frac{21}{56}$ As $16 < 21$, $\frac{16}{56} < \frac{21}{56}$  or  $\frac{2}{7} < \frac{3}{8}$ $\frac{2}{7} < \frac{3}{8}$ is the answer

Given: Ratio of angles = 2 : 3: 4To find: We have to find the measure of each angle.Solution:  Let the common factor be = a So, 1st angle = 2a 2nd angle = 3a 3rd angle = 4a Now, 2a + 3a + 4a = 180o    (Sum ... Read More

Rust is an iron oxide, a usually reddish-brown oxide formed by the reaction of iron and oxygen.The terms "rust" and "rusting" only mean oxidation of iron and its resulting products. Many other oxidation reactions.The nature of rust changes with time, reflecting the slow rates of the reactions of solids.Rusting is ... Read More

Instantaneous speed is the speed at any instant in time.Consider a situation that, a person needs to attend a birthday party of a friend who lives 10 km away from him. The person rode in such a way that, he drove the first 5km with a speed of 30km/h, the ... Read More

Old computers have Floppy disk drives and CRT monitors. These devices make use of some magnetic materials for their work.So it is advised not to keep magnet near the computer so that it does not interfere with the magnetic field of these devices. Modern computers are safe with magnets. ... Read More

To do:Prove that $p = r$. If both $(x-2)$ and $(x -\frac{1}{2})$ are factors of $px^2+5x+r$  Solution: Let $f(x)= px^2+5x+r$ If $(x-2)$ is a factor of $f(x)$, then by factor theorem $f(2)=0$ ⇒$ p(2)^2+5(2)+r=0$   ⇒$4p+r+10=10$......(i) ⇒p(2)2+5(2)+r=0\Rightarrow \mathrm{p}(2)^{2}+5(2)+\mathrm{r}=0 If $(x-\frac{1}{2})$ is a factor of $f(x)$, then ... Read More

To do : Use factor theorem to prove that$(x+a) $ is a factor of $(x^n+a^n)$ for any odd positive integer nSolution: According to factor theorem, if $f(x)$ is a polynomial of degree n ≥ 1 and 'a' is any real number, then, $(x-a)$ is a factor of $f(x), \ if ... Read More