Tag: maths

An even number is a number which has a factor of $2$.

Odd numbers are not divisible by $2$

A number is even if the digit in One's place is divisible by $2$.

Let ${S} _{n}=(2+4+6+.....+30)$. This is an A.P in which $a=2,d=2$ and $l=30$
Let the number of terms be $n$. Then,
$a+(n-1)d=30$
$\Rightarrow$ $2+(n-1)\times 2=30$
$\Rightarrow$ $n=15$
$\therefore$ ${S} _{n}=\cfrac{n}{2}(a+l)=\cfrac{15}{2}\times (2+30)=(15\times 16)=240$.

$-5,-4,-3,-2,-1,0,1,2,3,4,5$

$9\times 14=9\times 2\times 7$

Out of the following the integer which is positive and even is 4. Thus, option A is correct.

Any even integer is divisible by $2$.

If we add two even numbers the answer is always even.