Even and odd numbers - class-V

Let $a=1, b= 3, c= 2, d = 4$
Option D
$a+2b+3c+4d$
1+6+6+16 =29 which is odd number
In other 3 option always not correct for different values for a, b , c, d

Each of the pulled out $25$ sheets will have an odd number and an even number, back to back.
Therefore, total of numbers on each sheet is odd.
Hence, total of numbers on $25$ sheets is also odd as
when odd number is multiplied to odd number always gives odd number.
Therefore, the total cannot be $2008$, which is even.

The successor of an even number is always an odd number. For example, after 26, 27 will come.

In option B a×b is always even & xyz is always odd therefore equality not holds.

Addition of two even numbers; subtraction of two even numbers and product of two even numbers is an even number.

Even integer is an integer having unit digit as a multiple of $2$

The smallest odd number using digits $1,0,3,4,5$

we have the number $0,1,2,3,5,7$

We have,

$ 1008=2\times 2\times 2\times 2\times 3\times 3\times 7 $

$ ={{2}^{4}}\times {{3}^{2}}\times {{7}^{1}} $

$ =2\left( {{2}^{3}}\times {{3}^{2}}\times {{7}^{1}} \right) $

Then, the number of even divisors

$ =\left( 3+1 \right)\left( 2+1 \right)\left( 1+1 \right) $

$ =24 $

But the above divisors also contain the 1008 which is not a proper divisors

Then number of proper divisors$=23$

Hence, this is the
answer.

An odd number is an integer which is not a multiple of two. For example $1,3,5,7,9,11......$

Let the first even consecutive integer be $x$ then the next two integers would be $x+2$ and $x+4$.

Odd integers $=1,3,5,7,9.....$

$-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9$

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

Let us say the first odd integer be $x$. The second consecutive odd integer would be $x+2$ (zit would not be $x+1$ because that would result in an even integer. The sum of two odd integers is even). The third consecutive odd integer would be $(x+2)+2$ or $x+4$.

An even integer is an integer that is evenly divisible by $2$, that is, division by $2$ results in an integer without any remainder. The set of even integers is:

An even integer is an integer that is evenly divisible by $2$, that is, division by $2$ results in an integer without any remainder. The set of even integers is:

We know $2n=2\times n$

Let us say the first even integer be $x$. The second consecutive even integer would be $x+2$ (zit would not be $x+1$ because that would result in an odd integer. The sum of two even integers is even). The third consecutive even integer would be $(x+2)+2$ or $x+4$.