Tag: one fraction, many forms

Questions Related to one fraction, many forms

Mohan bought $500$ g of cabbage, $250$ g of onions, $750$ g of potatoes, $600$ g of apples.
Calculate total weight in kilograms.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $2100$kg

  2. $21.00$kg

  3. $2.100$kg

  4. $0.2100$kg

Show answer
Correct Option: C
Explanation:
Weight of cabbage is $500$ gm

Weight of onions is $250$ gm

Weight of potatoes is $750$ gm

Weight of apples is $600$ gm

Total weight of fruits and vegetables in grams is:

$500+250+750+600=2100$ gm

We know that $1$ kg $=1000$ gm

Therefore, $2100$ gm can be converted in kgs as follows:

$\dfrac {2100}{1000}=2.100$ kg

Hence, the total weight is $2.1$ kg.

$1\ km\ 250\  m =....................km$
Fill in the blank by chosing correct option from the following options

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $10.360$

  2. $10250$

  3. $1.250$

  4. $10.625$

Show answer
Correct Option: C
Explanation:

We know that $1\ m$=$1000\ km$.


Now, let us convert $250\ m$ in kms by dividing it by $1000$ as follows:

$\dfrac {250}{1000}=0.25$

Therefore, $250\ m$=$0.25\ km$

Thus we have:

$1\ km$ $250\ m$=$(1+0.25)\ km$=$1.25\ km$

Hence, $1\ km$ $250\ m$=$1.25\ km$

What is the ratio of 1 mm to 1 cm?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. 1: 100

  2. 10: 1

  3. 1: 10

  4. 100:1

Show answer
Correct Option: C
Explanation:

As we know that

$1\ cm =10\ mm$
Ratio of $1\ mm $ to $1\ cm$  is $1\ mm:1\ cm=1\ mm :10\ mm=1:10$

The cost of 1kg of sugar is Rs.18.What is cost of 250gms of sugar?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $Rs.9$

  2. $Rs.4.5$

  3. $Rs.8$

  4. $Rs.5.5$

Show answer
Correct Option: B
Explanation:

We know that $1$kg=$1000$gm.


It is given that the cost of $1$kg sugar is Rs.$18$ which means that the cost of $1000$g sugar is Rs.$18$ then cost of one gram sugar will be:


$\dfrac {18}{1000}=0.018$

Therefore, $1$gm sugar costs Rs.$0.018$.

Now, the cost of $250$gms of sugar will be as follows:

Cost$\times$number of grams$=0.018\times 250=4.5$

Hence, the cost of $250$gms of sugar is Rs.$4.5$.

How much pure alcohol should be added to $400 ml$ of strength $15\%$ to make its strength $32\%$?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $50 ml$

  2. $75 ml$

  3. $100 ml$

  4. $150 ml$

Show answer
Correct Option: C
Explanation:

The amount of alcohol in $400ml$ solution of $15\%$ strength

$=400\times \cfrac { 15 }{ 100 } ml=60ml$

Let the required amount of alcohol to be added $=x$ ml.
It will increase the amount of the solution by $x$ ml.

$\therefore $ The amount of alcohol now $=(60+x)ml$
and the amount of the solution$=(400+x)ml$.
Then, the strength $=32\%=\cfrac { 60+x }{ 400+x } =\cfrac { 32 }{ 100 }$

$\Rightarrow 25x+1500=3200+8x\ \Rightarrow 17x=1700\ \Rightarrow x=100$.
So, the required amount of pure alcohol to be added $=100 ml$.

Convert $0.6$ km to centimeters.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $60 cm$

  2. $600 cm$

  3. $6, 000 cm$

  4. $60, 000 cm$

  5. $600, 000$ cm

Show answer
Correct Option: D
Explanation:

The metric system uses powers of 10, so conversion between units can be done by moving the decimal point. First convert 0.6 km to meters. To do this, multiply 0.6 by 1000, or, equivalently, move the decimal point three places to the right. Add zeros as necessary.
$0.\underline{6}\underline{6}\underline{6}=600$
Therefore, there are 600 m in 0.6 km. Convert 600 m to centimeters by multiplying by 100 or, equivalently, by moving the decimal two places to the right.
$600.\underline{0}\,\underline{0}=60,000$
Thus, the correct answer is 60,000 cm.

Fill in the banks: 
$7\, kg\, 250\, grams =...................... kg$

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $7.250$

  2. $7.75$

  3. $7$

  4. $7.35$

Show answer
Correct Option: A
Explanation:

$1$ kg $= 1000$ gm


So, $7$ kg $250$ gm = $7$ kg $+ 250$ gm


$= 7$ kg + $\dfrac{250}{1000}$

$= 7$ kg $+ 0.250$ kg

$= 7.250$ kg

State true or false.

$77$ rupees $7$ paise is equal to Rs.$77.07$.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

As we know,

1 Rs = 100 paisa

Given, 77 Rs 7 paisa
So, 77 Rs 7 paisa = 77 + $\frac{7}{100}$ Rs
= 77 + 0.07 Rs
= 77.07 Rs

Fill in the banks: 
$\text{3 litre 500 millilitres =.................... litres}$

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $3.500$

  2. $3.45$

  3. $3.35$

  4. $3.25$

Show answer
Correct Option: A
Explanation:

$1$ litre $= 1000$ milliliters


So, $3$ liters $500$ millilitres $= 3$ litre $+\dfrac{500}{1000}$ litre


$= 3 + 0.500$ litres

$= 3.500$ litres

Fill in the blanks with proper method:
1 sq m = ____ sq cm

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. 10,00

  2. 10,000

  3. 10

  4. 100

Show answer
Correct Option: B
Explanation:

1 m = 100 cm 

As, 1 sq m = 100 x 100 sq cm
1 sq m = 10000 sq m