Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

Which option will have a terminating decimal expansion?

  1. $\dfrac {77}{210}$
  2. $\dfrac {23}{30}$
  3. $\dfrac {125}{441}$
  4. $\dfrac {23}{8}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The decimal expansion of a number may terminate in which case the number is called a regular number or finite decimal. In the given options:

a. $\dfrac{77}{210} = 0.366666666....... \; or  \; 0.3\bar6$

b. $\dfrac{23}{30} = 0.766666666....... \; or  \; 0.7\bar6$

c. $\dfrac{125}{441} = 0.283446712......$ i.e. it goes on infintely

d. $\dfrac{23}{8} = 2.875$

Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

A number having non-terminating and recurring decimal expansion is.

  1. An integer

  2. A rational number

  3. An irrational number

  4. A whole number
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A number having non-terminating and recurring decimal expansion is  a Rational Number


for example 

$\dfrac{2}{7}$  is a rational number 

$\dfrac{2}{7} =0.285714285714285714.......... $

or   $\dfrac{2}{7} =\overline{0.285714}.......... $

the number has non-terminating decimal expansion but recurring after every 6 digits after decimal

So option $B $ is correct

Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

Which of the following numbers has the terminating decimal representation?

  1. $\displaystyle \frac{1}{7}$
  2. $\displaystyle \frac{1}{3}$
  3. $\displaystyle \frac{3}{5}$
  4. $\displaystyle \frac{17}{3}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\dfrac{3}{5} = 0.6$ which is terminating decimal. 


$\dfrac{1}{7} = 0.142857.....$

$\dfrac{1}{3} = 0.333......$

$\dfrac{17}{3} = 5.6666......$

Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

Show the correct sequence of the given four option in ascending order
(1) Prime minister  (2) Chief Minister  (3) Mayor  (4) President  (5) Sarpanch

  1. $5,3,2,4,1$
  2. $5,2,3,4,1$
  3. $5,3,2,1,4$
  4. $5,4,2,1,3$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
In ascending order 
Sarpanch < Mayore < Chief Minister < Prime minister < President.
$\therefore$ Option $ C$  is the correct answer.
Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

$\dfrac{p}{q}$ form of the number $0.\overline{3}$ is :

  1. $\dfrac{3}{10}$
  2. $\dfrac{3}{100}$
  3. $\dfrac{1}{3}$
  4. $\dfrac{1}{2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let $x$ = .33333......

Multiplying by 10 on both sides we get
$10x=3.3333....\ on\quad subtracting\quad both\quad equations\quad we\quad get,\ 9x=3\ x=\dfrac { 1 }{ 3 } $
So, correct answer is option C.

Multiple choice maths real number first forms rational numbers as recurring/terminating decimals decimal expansions of real numbers

The decimal representation of $\dfrac { 93 }{ 1500 }$  will be

  1. Terminating

  2. Non-terminating

  3. Non-terminating, repeating

  4. Non-terminating, non-repeating
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Checking the termination of $\cfrac{93}{1500}$ is same as checking the termination of $\cfrac{31}{500}$ which is equal to $\cfrac{62}{1000}$


As the value is $0.062$, we can say the fraction is terminating.

$\therefore \cfrac{93}{1500}$ is terminating.