Tag: maths

Given : $83.33$% of $36$ coins are $20$ paisa coins

$83.33$% of $36 =\left( \cfrac { 83.33 }{ 100 }  \right) \times 36=30$

So, $30$ coins are $20$ paise coins and remaining $(36-30)= 6$ coins are $10$ paise coins.

Value $=30\times 20+6\times 10=660$ Paise $=Rs. 6.60$, which is the given amount.

$\therefore $ Number of $10$ paise coins are $6$.

Average of 11 players $= 20$ years.
Sum of age of 11 players $= 20 \times 11 = 220$
Average age of players and coach $1.1 \times 20 22$ years
Sum of ages of players & coach $= 22 \times 12 = 264$ years.
Age of coach $= 264 - 220 = 44$ years. 

When each term of a sequence is connected using a $+$ or a $-$ sign, then it is referred to as the series of numbers. For example, $2 + 5 + 8 + 11 + 15 + 18 + ....$ is a series of numbers. Thus the correct answer is '$a$'.

The series is $\text{x++/xxx+++/ xxxx++++/x}$. Thus, the letters are repeated twice, thrice and so on.

Adding all the terms in a sequence is called series.
Example: 1 + 2 + 3 + 4 is a series.

$1 + 2 + 3 + 4 + 5 +.....$ is a series.
As sum of all numbers in some set is called as a series.

A sum of an infinite sequence it is called a series.
Example: $2 + 4 + 6 + 8 +....$ is a series.

$\sum _{n=1}^{10}nk^2$ is a series.
Since $\sum _{n=1}^{10}nk^2= k^2+2k^2+3k^2+4k^2+5k^2+6k^2+7k^2+8k^2+9k^2+10k^2$
So, sum of all the terms in a sequence is called series.

$1 + 2 + 3 + 4 + 5$ is a series.

The sum of first $5$ odd numbers is called series.
Example: $1 + 3 + 5 + 7 + 9 $ is a series.