Tag: maths

Questions Related to maths

Millions period consists of the places

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. M, TM

  2. M, TM, HM

  3. TTh, HTH, M

  4. O, T, M

Show answer
Correct Option: B
Explanation:

Million period consists of the places M, TM, HM

Million period consists of the places __________.

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. $M, TM$

  2. $M, TM, HM$

  3. $TTH, HTH, M$

  4. $O, T, M$

Show answer
Correct Option: B
Explanation:

Million Period consists of places : Million, Hundred Millions, Thousand Millions


$\rightarrow M, HM, TM$

The product of the numbers $5623$ and $6$ in the scale of eight is:

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. $41672$

  2. $33738$

  3. $42562$

  4. $45262$

Show answer
Correct Option: C

Number name for $123,080,603$ is:

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. one two three eighty thousand six hundred three

  2. one hundred twenty three million eight thousand six hundred three

  3. one hundred twenty three million eighty thousand six hundred three

  4. one twenty three million eighty thousand six hundred

Show answer
Correct Option: C
Explanation:

By using International number system the naming of the number $123,080,603$ is:

one hundred twenty three million eighty thousand six hundred three.

Ten millions come under ______ period

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. crores

  2. lakhs

  3. thousands

  4. millions

Show answer
Correct Option: D
Explanation:

Millions ,Ten millions and
hundred millions comes under
millions period

Express in international number system.
$81,894,650$

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. Eighty one million,eight hundred ninety four thousand six hundred fifty.

  2. Eighty million,eight hundred ninety four thousand six hundred fifty.

  3. Eight hundred one million,eight hundred ninety four thousand six hundred fifty.

  4. Eighty one million,eight ninety four thousand six hundred .

Show answer
Correct Option: A
Explanation:
Let us convert the given numerals into words as follows:

$81,000,000=$Eighty one million
$894,000=$Eight hundred ninety four thousand
$600=$Six hundred
$50=$Fifty

Now, combine the numbers in words as shown below:

Eighty one million,eight hundred ninety four thousand six hundred fifty.

Hence, the International number system is eighty one million,eight hundred ninety four thousand six hundred fifty.

Express as International number system.
$3,45,90,430$

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. Thirty four million,five hundred ninety thousand hundred thirty.

  2. Thirty four million,five hundred nine thousand four hundred thirty.

  3. Thirty million,five hundred ninety thousand four hundred thirty.

  4. Thirty four million,five hundred ninety thousand four hundred thirty.

Show answer
Correct Option: D
Explanation:
Let us convert the given numerals into words as follows:

$34,000,000=$Thirty four million
$590,000=$Five hundred ninety thousand
$400=$Four hundred
$30=$Thirty

Now, combine the numbers in words as shown below:

Thirty four million,five hundred ninety thousand four hundred thirty.

Hence, the International number system is thirty four million,five hundred ninety thousand four hundred thirty.

Express in Inernational number system:
Thirteen lakh five  thousand two hundred nine.

maths numbers in indian and international systems international place value system international system of numeration use of commas and comparison and number systems

  1. Thirty four million,five hundred ninety thousand four hundred thirty.

  2. One million three hundred five thousand  two hundred nine.

  3. One million three hundred five hundred two hundred nine.

  4. One three hundred five thousand two hundred nine.

Show answer
Correct Option: B
Explanation:
Let us first convert the given number in words into numerals as follows:

Thirteen lakh$=13,00,000$
Five thousand$=5,000$
Two hunderd$=200$
Nine$=9$

Now, add the numerals as shown below:

$1300000+5000+200+9=1305209$

Therefore, the required number is $13,05,209$.

Now, to convert the number in International number system, we write the number as follows:

$1,000,000=$One million
$305,000=$Three hundred five thousand
$200=$Two hundred
$9=$Nine

Now, combine the numbers in words as shown below:

One million three hundred five thousand two hundred nine.

Hence, the International number system is one million three hundred five hundred two hundred nine.

If the circumference of the inner edge of a hemispherical bowl is $\displaystyle\frac{132}{7}:cm$, then what is the capacity?

maths solids volume of a sphere surface area and volume of sphere surface areas and volumes surface areas and volumes of solids problems involving volume of combined solids application of surface area and volume of solids

  1. $12\pi:cm^3$

  2. $18\pi:cm^3$

  3. $24\pi:cm^3$

  4. $36\pi:cm^3$

Show answer
Correct Option: B
Explanation:

$\displaystyle2\pi r=\frac{132}{7}\implies r=3$

$\therefore$ Capacity $\displaystyle=\frac{2}{3}\pi r^3=18\pi$

The side of a cube is equal to diameter of the sphere. The ratio of volumes 
of cube and sphere is

maths solids volume of a sphere surface area and volume of sphere surface areas and volumes surface areas and volumes of solids problems involving volume of combined solids application of surface area and volume of solids

  1. $\frac{11}{12}$

  2. $\frac{22}{11}$

  3. $\frac{11}{21}$

  4. $\frac{21}{11}$

Show answer
Correct Option: D
Explanation:

Let the sides of cube be $s$ and radius of sphere be $r$

then $s=2r=(2r)^3=8r^3$
Volume of a cube$=s^3$
Volume of a sphere$=\cfrac{4}{3}\pi r^3$
Ratio of volume of cube and sphere$=\cfrac{8r^3}{\cfrac{4}{3}\pi r^3}$
$=\cfrac{8r^3}{\cfrac{4}{3}\times \cfrac{22}{7} r^3}\=\cfrac{21}{11}$