Tag: indian place value chart

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Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

A data has highest value $120$ and the lowest value $71.A$ frequency distribution in descending order with seven classes is to be constructed. The limits of the second class interval shall be 

  1. $77$ and $78$
  2. $78$ and $85$
  3. $85$ and $113$
  4. $113$ and $120$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Range of Frequency distribution=Highest Value-Lowest value
 $=120-71=49$

Dividing this into Seven $(7)$ equal classes.

$\Rightarrow \dfrac{49}{7}=7$

Thus the class width should be 7

Now  arranging  in descending order

Class interval $1 \rightarrow (120-7) to\space 120 \rightarrow 113-120$

Class interval $2 \rightarrow (113-7) to \space 113 \rightarrow 106-113$

Hence class interval $1$ and $2$ is $113$ and $120$ 
Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange the following fractions is ascending order :
$\dfrac{7}{10},\dfrac{3}{8},\dfrac{4}{5}$

  1. $\dfrac{3}{8},\dfrac{7}{10},\dfrac{4}{5}$
  2. $\dfrac{3}{8},\dfrac{4}{5},\dfrac{7}{10}$
  3. $\dfrac{4}{5},\dfrac{3}{8},\dfrac{7}{10}$
  4. $\dfrac{7}{10},\dfrac{3}{8},\dfrac{4}{5}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
$7/10= 0.7$
$3/8 = 0.375$
$4/5=0.8$

So ascending order, = $\dfrac 3 8, \dfrac 7 {10}, \dfrac 4 5$
Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange the following rational number in ascending order $\displaystyle \frac{3}{7},\frac{4}{5},\frac{7}{9},\frac{1}{2}$

  1. $\displaystyle \frac{4}{5},\frac{7}{5},\frac{3}{9},\frac{1}{2}$
  2. $\displaystyle \frac{3}{7},\frac{1}{2},\frac{7}{9},\frac{4}{5}$
  3. $\displaystyle \frac{4}{5},\frac{7}{9},\frac{1}{2},\frac{3}{7}$
  4. $\displaystyle \frac{1}{2},\frac{3}{7},\frac{7}{9},\frac{4}{5}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The LCM of 2, 5, 7 and 9 is 630.
$\frac{3}{7} = \frac{270}{630}$
$\frac{4}{5} = \frac{504}{630}$
$\frac{7}{9}=\frac{490}{630}$
$\frac{1}{2}=\frac{315}{630}$
The ascending order will be $\frac{3}{7},\frac{1}{2},\frac{7}{9},\frac{4}{5}$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in ascending order of magnitude $\sqrt 3, \sqrt [5]{15}, \sqrt [10]{227}$

  1. $\sqrt [5]{15} < \sqrt [10]{227} < \sqrt 3$
  2. $\sqrt 3 < \sqrt [5]{15} < \sqrt [10]{227}$
  3. $\sqrt [10]{227} < \sqrt 3 < \sqrt [5]{15}$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\sqrt 3, \sqrt [5]{15}, \sqrt [10]{227}$


LCM of $2, 5$ and $10=10$

$\sqrt 3=\sqrt [2\times 5]{3^5}=\sqrt [10]{3\times 3\times 3\times 3\times 3}=\sqrt [10]{243}$

$\sqrt [5]{15}=\sqrt [5\times 2]{15^2}=\sqrt [10]{15\times 15}=\sqrt [10]{225}$

$\sqrt [10]{227}=\sqrt [10]{227}$

$\therefore \sqrt [5]{15} < \sqrt [10]{227} < \sqrt 3$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange the given fractions in ascending order:

$\displaystyle\frac{2}{7}$, $\displaystyle\frac{4}{5}$, $\displaystyle\frac{3}{4}$

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

First, we make all divisors common.
So l.c.m of $7,5,4 = 140$


Now $\dfrac{2}{7}\times \dfrac{20}{20} = \dfrac{40}{140}$

$\dfrac{4}{5}\times \dfrac{28}{28} = \dfrac{112}{140}$

$\dfrac{3}{4}\times \dfrac{35}{35} = \dfrac{102}{140}$

So the order will be $\displaystyle\frac{2}{7}$, $\displaystyle\frac{3}{4}$, $\displaystyle\frac{4}{5}$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Which one of the following is correct?

  1. $\dfrac {-7}{10} < \dfrac {-2}{3} < \dfrac {-5}{8}$
  2. $\dfrac {-5}{8} < \dfrac {-2}{3} < \dfrac {-7}{10}$
  3. $\dfrac {-5}{8} < \dfrac {-7}{10} < \dfrac {-2}{3}$
  4. $\dfrac {-7}{10} < \dfrac {-5}{8} < \dfrac {-2}{3}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Convert fractions to decimals: -7/10 = -0.7, -2/3 = -0.666, -5/8 = -0.625. Since -0.7 < -0.666 < -0.625, the correct order is -7/10 < -2/3 < -5/8.

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in descending order:
$6,00,780;  5,56,879; 6,87,340; 4,76,980$

  1. $4,76,980; 6,00,780; 5,56,879; 6,87,340; $
  2. $5,56,879;6,00,780; 6,87,340; 4,76,980$
  3. $ 6,87,340; 6,00,780;5,56,879; 4,76,980$
  4. $6,00,780; 6,87,340; 4,76,980; 5,56,879;$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Comparing digits at lakh's place followed by ten thousand's, thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in descending order as 
$6,87,340;\ 6,00,780;\ 5,56,879;\ 4,76,980$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in ascending  order:
$9,78,654;  8,78,654;  9,56,236;  9,54,234$

  1. $9,78,654; 8,78,654; 9,56,236; 9,54,234$
  2. $ 8,78,654; 9,56,236; 9,54,234; 9,78,654$
  3. $ 8,78,654; 9,54,234; 9,56,236; 9,78,654$
  4. $ 9,54,234; 9,56,236; 9,78,654; 8,78,654$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Comparing digits at lakh's place followed by ten thousand's, thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$8,78,654;\ 9,54,234;\ 9,56,236;\ 9,78,654$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in ascending order:
$12,098; 12,908; 12,809; 12,890$

  1. $12,098; 12,908; 12,809; 12,890$
  2. $12,098;12,809; 12,890; 12,908;$
  3. $12,098;12,890; 12,908; 12,809$
  4. $12,890; 12,908; 12,809; 12,098$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Comparing digits at ten thousand's place followed by thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$12,098; 12,809; 12,890; 12,908$

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in ascending order:
$1,234; 2,345; 6,784; 1,543$

  1. $1,234; 2,345; 6,784; 1,543$
  2. $1,234; 1,543; 2,345; 6,784$
  3. $1,543; 1,234;2,345; 6,784$
  4. $1,543; 1,234; 6,784; 2,345$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Comparing digits at thousand's place followed by hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$1,234; 1,543; 2,345; 6,784$