Tag: history of mathematics

Quizzes (6) Questions (199)

Questions Related to history of mathematics

Multiple choice multiplication and division vedic methods of multiplication vedic mathematics history of mathematics maths

Which of the following statements is CORRECT?

  1. The product of $\dfrac{231}{119}$ and $\dfrac{117}{118}$ is greater than $\dfrac{231}{119}$
  2. The product of $\dfrac{17}{25}$ and $\dfrac{117}{225}$ is greater than $\dfrac{17}{25}$
  3. The product of $\dfrac{1735}{2001}$ and $\dfrac{2734}{2724}$ is greater than $\dfrac{1735}{2001}$
  4. $\dfrac{1}{3}$ of $\dfrac{4}{5}$ is greater than $\dfrac{3}{4}$ of $\dfrac{8}{7}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Option $[A]$  :  $\dfrac{117}{118}<1$.  
The product of any number with a number less than $1$ is less than that number.
So,  $\dfrac{231}{119}\times\dfrac{117}{118}<\dfrac{231}{119}$.

$\Rightarrow[A]$ is not correct.

Option $[B]$  :  $\dfrac{117}{225}<1$
The product of any number with a number less than $1$ is less than that number.
So,  $\dfrac{17}{25}\times\dfrac{117}{225}<\dfrac{17}{25}$.
$\Rightarrow[B]$ is not correct.

Option $[C]$  :  $\dfrac{2734}{2724}>1$
The product of any number with a number greater than $1$ is greater than that number.
So,  $\dfrac{1735}{2001}\times\dfrac{2734}{2724}>\dfrac{1735}{2001}$.
$\Rightarrow[C]$ is correct.

Option $[D]$  :
$\dfrac{1}{3}\times\dfrac{4}{5}=\dfrac{4}{15}\approx0.267$   and   $\dfrac{3}{4}\times\dfrac{8}{7}=\dfrac{6}{7}\approx0.857$.
But  $0.857>>0.267$.
So, $[D]$ is not correct.


$\therefore$  The correct answer is  $[C]$.

Multiple choice multiplication and division vedic methods of multiplication vedic mathematics history of mathematics maths

A board 7 feet 9 inches long is divided into 3 equal parts. What is the length of each part? 

  1. 2 feet 9 inches

  2. 2 feet 7 inches

  3. 2 feet 12 inches

  4. 2 feet 3 inches
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Length of board $=\text{7 feet 9 inches}$

$=(7\times 12+9)$ inches       $[\because \text{1 feet = 12 inches}]$
$=93 inches$
Number of parts to be cut $3$
$\therefore $ Length of each part $=(93+3) \text{inches}$
$=\text{31 inches}$
$=\text{2feet 7 inches}$