Tag: maths

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Questions Related to maths

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

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

  1. $10.360$
  2. $10250$
  3. $1.250$
  4. $10.625$
Reveal answer Fill a bubble to check yourself
C Correct answer
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, $1\ km$ $250\ m$=$1.25\ km$

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

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

  1. $Rs.9$
  2. $Rs.4.5$
  3. $Rs.8$
  4. $Rs.5.5$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.$4.5$.

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

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

  1. $50 ml$
  2. $75 ml$
  3. $100 ml$
  4. $150 ml$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $=100 ml$.

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

Convert $0.6$ km to centimeters.

  1. $60 cm$
  2. $600 cm$
  3. $6, 000 cm$
  4. $60, 000 cm$
  5. $600, 000$ cm
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

Prem went to a craft fair where he spent a total of Rs. $16.00$. He spent Rs. $6.00$ on admission and went to $8$ tables. He spent the same amount of money(m) at each table. The given expression can be used to find how much money he spend at each table.
$16=6+8m$
How much money did Prem spent at each table?

  1. Rs. $0.50$
  2. Rs. $0.80$
  3. Rs. $1.25$
  4. Rs. $2.00$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
We have, $16=6+8$m
$\Rightarrow 8m=16-6=10$
$\Rightarrow \displaystyle m=\frac{10}{8}=1.25$
So, Prem spent Rs. $1.25$ at each table.