Tag: maths

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Questions Related to maths

Multiple choice maths calculating and mental strategies 3 finding percentage of a number how many in all? problems on percentage

$83.33\% $ of coins out of $36$ coins are $20$ paise coins and rest are $10$ paise coins which amounts to $6.60$. Find the number of $10$ paise coins.

  1. $8$
  2. $5$
  3. $6$
  4. $2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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 $6$.

Multiple choice maths calculating and mental strategies 3 finding percentage of a number how many in all? problems on percentage

Choose the correct answer from the alternatives given.
The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is

  1. 48 year

  2. 44 year

  3. 40 year

  4. 36 year
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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. 

Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

When each term of a sequence is connected using $a +$ or $a -$ sign, then it is referred to as the _____ of numbers.

  1. Series

  2. Progression

  3. Arithmetic Progression

  4. Geometric Prpgression
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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 '$a$'.

Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

In following symbol series, some of the symbols are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.

$\text{x+ _ xx _+++ _ xxx _ +++x}$

  1. $\text{x++x}$
  2. $\text{+xx+}$
  3. $\text{xxx+}$
  4. $\text{x+x+}$
  5. $\text{x+xx}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Hence, the missing symbols are +xx+

Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

Which one of the following is a series?

  1. $1 \times 2 \times 3 \times 4 \times 5$
  2. $(0, 1, 2, 3, 4)$
  3. $\left \{1, 2, 3, 5, 6\right \}$
  4. $\sum _{n=1}^{10}nk^2$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\sum _{n=1}^{10}nk^2$ 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.