Tag: maths

Questions Related to maths

In Vedic period, squares and circular shaped altars were used for household rituals, while altars whose shapes were combination of rectangles, triangles and trapeziums were used for public worship.

  1. True

  2. False

  3. Ambiguous

  4. Data Insufficient


Correct Option: A
Explanation:

In ancient India, squares and circular altars were used for household rituals.

The geometry of the Vedic period originated with the construction of altars (or vedis) and fireplaces for performing Vedic rites. Square and circular altars were used for household rituals, while altars, whose shapes were combinations of rectangles, triangles and trapeziums, were required for public worship.

Half of a number is 12. What is $\dfrac{3}{4}$ of the same number ?

  1. 24

  2. 36

  3. 9

  4. 18


Correct Option: D
Explanation:

Let the number be $x$.

 

Since,

$ \dfrac{x}{2}=12 $

$ x=24 $

 

Since,

$ \Rightarrow \dfrac{3}{4}\times 24 $

$ \Rightarrow 18 $

 

Hence, this is the answer.

Sonia talked on the telephone to two friends. She talked to Shivani for $\displaystyle{\dfrac{1}{4}}$ hour to Geetika for $\displaystyle{\dfrac{1}{3}}$ How much time did Sonia spend on the telephone ?

  1. $\displaystyle{\dfrac{1}{6}}$

  2. $\displaystyle{\dfrac{2}{7}}$

  3. $\displaystyle{\dfrac{5}{12}}$

  4. $\displaystyle{\dfrac{7}{12}}$


Correct Option: D
Explanation:

Sonia talked to Shivani for $=\dfrac{1}{4}$ hour

Sonia talked to Geetika for $=\dfrac{1}{3}$ hour

She spend time on the telephone will be
$=\dfrac{1}{4}+\dfrac{1}{3}$
$=\dfrac{7}{12}$ hour

Hence, this is the answer.

Victor can throw a ball 50$\displaystyle{\dfrac{3}{5}}$ feet. Parth can throw the same ball 48$\displaystyle{\dfrac{1}{3}}$ feet. How much farther can Victor throw the ball than Parth ? 

  1. 2$\displaystyle{\dfrac{2}{15}}$ feet

  2. 2$\displaystyle{\dfrac{4}{15}}$ feet

  3. 2$\displaystyle{\dfrac{3}{5}}$ feet

  4. 2$\displaystyle{\dfrac{4}{5}}$ feet


Correct Option: B
Explanation:

Victor can throw a ball $=50\dfrac{3}{5}$ feet

Parth can throw the same ball $=48\dfrac{1}{5}$ feet

Difference,
$=50\dfrac{3}{5}-48\dfrac{1}{3}$
$=\dfrac{253}{5}-\dfrac{145}{3}$
$=\dfrac{253}{5}-\dfrac{145}{3}$
$=\dfrac{34}{15}$
$=2\dfrac{4}{15}$ feet

Hence, this is the answer.

Using vedic mathematics term "Ekadhik", find the value of $135^2$.

  1. $18625$

  2. $18325$

  3. $19425$

  4. $18225$


Correct Option: D

Using vedic mathematics term "Ekadhik", find the value of $35^2$.

  1. $11025$

  2. $1325$

  3. $1225$

  4. None of these


Correct Option: C

Using vedic mathematics term "Ekadhik", find the value of $65^2$.

  1. $4225$

  2. $5325$

  3. $4325$

  4. $4645$


Correct Option: A

If $60$% of $\cfrac{3}{5}$ of a number is $36$, then the number is:

  1. $80$

  2. $100$

  3. $75$

  4. $90$


Correct Option: B
Explanation:

Let the number be $x$. Then
$60$% of $\cfrac{3}{5}$ of $x=36$
$\Rightarrow$ $\cfrac{60}{100}\times \cfrac{3}{5}\times x=36$
$\Rightarrow$ $x=(36\times \cfrac{25}{9})=100$
$\therefore$ Required number $=100$

Identify the larger fraction between $\dfrac{4}{5}, \dfrac{5}{9}$ using Vedic mathematics.

  1. $\dfrac{4}{5}$

  2. $\dfrac{5}{9}$

  3. Both are equal

  4. None of these


Correct Option: A
Explanation:

5/4 , 5/9
Difference of cross product = 45 - 20 = 25
If the difference of the cross product is positive then the first fraction is larger.
hence 5/4 is larger.

Find Ekadhikena Purvena of the number $37$.

  1. $38$

  2. $36$

  3. $30$

  4. None of these


Correct Option: A
Explanation:

'Ekadhikena Purvena'   means  “by one more than the previous”
So, Ekadhikena Purvena of the number 37 is 38.