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CBSE Questions for Class 7 Maths Fractions And Decimals Quiz 6 - MCQExams.com
CBSE
Class 7 Maths
Fractions And Decimals
Quiz 6
Find the product
$$\displaystyle 7.854\times 10$$
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0%
$$785.4$$
0%
$$78.54$$
0%
$$7854$$
0%
$$78540$$
Explanation
To find
$$7.854\times 10$$
Since, $$10$$ has $$1$$ zero and $$7.854$$ has decimal point after $$3$$ digits
So, the product will have decimal point after $$2$$ digits from left
Therefore, value of $$7.854\times 10$$ is $$78.54$$.
Find the product
$$\displaystyle 0.123\times 100$$
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$$1.23$$
0%
$$123$$
0%
$$12.3$$
0%
$$1230$$
Explanation
To find
$$0.123\times 100$$
Since, $$100$$ has $$2$$ zeros and $$0.123$$ has decimal point after $$3$$ digits
So, the product will have decimal point after $$1$$ digit from left
Therefore, value of $$0.123\times 100$$ is $$12.3$$.
A boy weighs 56.74 kg. If his father is 1.5 times heavier than his son, then the weight of the father is ..........
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85 kg
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85.11 kg
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85.20 kg
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85.15 kg
Explanation
Weight of Boy=$$56.74kg$$
Given that his father is $$1.5$$ times heavier than his son.
so, weight of father=$$1.5\times56.74$$
$$=\cfrac{15}{10}$$$$\times$$ $$\cfrac{5674}{100}=$$ $$\cfrac{85110}{1000}=85.110=85.11 kg$$
Solve the given expression:
$$\displaystyle 9.826\div 10$$
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$$98.26$$
0%
$$982.6$$
0%
$$0.09826$$
0%
$$0.9826$$
Explanation
So, the number of digits after decimal point will increase by $$1$$
The division of $$9.826$$ by $$10$$ is
$$\therefore \dfrac{9.826}{10}$$ $$=0.9826$$
A generator consumes 2.875 litres of diesel per hour. The quantity of diesel required to
run the generator far 24 hours is .............
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45 litres
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55 litres
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72 irtres
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69 litres
Convert $$\dfrac{7}{4}$$ into mixed fraction.
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$$1\dfrac{3}{4}$$
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$$2\dfrac{3}{4}$$
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$$6\dfrac{3}{4}$$
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None of the above
Explanation
$$\dfrac{7}{4}=1\dfrac{3}{4}$$
So, option A is correct.
$$ \displaystyle \frac{2}{7} $$ of a week $$=$$ _____ days
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0%
$$7$$
0%
$$3$$
0%
$$4$$
0%
$$2$$
Explanation
One week has $$7$$ days
So, $$\dfrac{2}{7} $$ of a week $$=\dfrac{2}{7}\times 7=2$$ days.
Hence, the answer is $$2$$.
Convert $$\dfrac{11}{4}$$ into a mixed fraction.
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$$\displaystyle 2\frac{3}{4}$$
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$$\displaystyle 3\frac{3}{4}$$
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$$\displaystyle 1\frac{3}{4}$$
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none of the above
Explanation
Divide $$11$$ by $$4$$. The quotient is $$2$$ and remainder $$3$$.
$$\therefore \displaystyle \frac{11}{4}= 2\frac{3}{4}$$
So. option A is correct.
In improper fraction the numerator is always _______ the denominator
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less than
0%
greater than
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equal to
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none
Explanation
In an improper fraction, the numerator is always $$greater\ than$$ the denominator.
Hence, the answer is 'greater than'.
Simplifying the fraction $$\displaystyle \frac{6}{5}\times 4\frac{1}{2}$$ gives
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$$\displaystyle \frac{27}{5}$$
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$$\displaystyle \frac{6}{5}$$
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$$\displaystyle \frac{11}{5}$$
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None of the above
Explanation
$$\displaystyle \frac{6}{5} \times 4\frac{1}{2}$$
$$=\displaystyle \frac{6}{5}\times \frac{9}{2}$$
$$= \displaystyle \frac{27}{5}$$
So, option $$A$$ is correct.
Two-fifth of $$10$$ litre $$=$$ _____ litres
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$$2$$
0%
$$3$$
0%
$$4$$
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$$5$$
Explanation
$$\dfrac{2}{5} $$ of $$10$$ litre $$=\dfrac{2}{5}\times 10=4$$ litres.
Hence, the answer is $$4$$
$$\displaystyle \frac{2}{5} $$ of a rupee = ____ paise
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$$20$$
0%
$$10$$
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$$40$$
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$$50$$
Explanation
We know that $$1$$ Rs $$=100$$ paisa.
So, $$\dfrac{2}{5} \times 100=40$$ paisa.
Hence, the answer is $$40$$.
Calculate $$456.78\times 8$$.
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$$36542.4$$
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$$365.424$$
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$$3,654.24$$
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$$36.5424$$
Explanation
Let us first multiply the two given numbers
$$456.78$$ and $$8$$
without decimal point:
$$45678\times 8=365424$$
Since,
$$456.78$$
has two decimal places, therefore the answer $$365424$$ should also have two decimal places that is
$$3654.24$$
.
Hence,
$$456.78\times 8=3,654.24$$
.
Each piece of cardboard is $$0.3\ cm$$ thick. If Marie stacks $$8$$ pieces of cardboard on top of one another, how thick will the stack be?
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$$2.4\ cm$$
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$$24\ cm$$
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$$2.1\ cm$$
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$$21\ cm$$
Explanation
It is given that each piece of cardboard is $$0.3$$ cm thick which means that one piece is
$$0.3$$ cm thick.
If Marie stacks $$8$$ pieces of cardboard, then the thickness of $$8$$ pieces of cardboard will be:
$$0.3\times 8=2.4$$ cm
Hence, the stack will be $$2.4$$ cm thick.
Amanda creates the base of a picture frame, using 4.55 inches of red fabric and 6.25 inches of blue fabric. How many inches of fabric are used to create the base of the frame?
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10.80 inches
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10.85 inches
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10.75 inches
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10.90 inches
Multiply $$43.09$$ with $$23$$.
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$$99.107$$
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$$991.07$$
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$$9910.7$$
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$$9.9107$$
Explanation
Let us first multiply the two given numbers
$$43.09$$ and $$23$$
without decimal point:
$$4309\times 23=99107$$
Since, $$43.09$$ has two decimal places, therefore the answer $$99107$$ should also have two decimal places that is $$991.07$$.
Hence, $$43.09\times 23=991.07$$.
A box of laundry detergent contains 16.5 oz of product. What is the maximum number of loads that can be washed if each load requires a minimum of 3/4 oz of detergent?
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10
0%
50
0%
22
0%
18
0%
16.5
Explanation
Quantity of detergent in a box: $$16.5 oz$$
Quantity of detergent used in one wash load: $$\dfrac{3}{4}oz$$ = $$0.75 oz$$
No. of wash loads = $$\dfrac{Quantity\quad of\quad detergent\quad in\quad a\quad box}{Quantity\quad of\quad detergent\quad used\quad in\quad one\quad wash\quad load}$$
= $$\dfrac{16.5}{0.75}$$
= $$22$$ wash loads
(Three rupees $$5$$ paise) $$\times$$ (five rupees $$40$$ paise) is equal to
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$$Rs. 18.90$$
0%
$$Rs. 16.47$$
0%
$$Rs. 17.64$$
0%
$$RS. 15.37$$
Explanation
We know that 100 paise is nothing but 1 Rupee.
So $$5Paise = 0.05 Rupees$$
Also $$40 Paise = 0.4 Rupees$$
Now Three Rupees $$5\ Paise = 3 \ Rupees + 0.05\ Rupees$$
$$=3.05 \ Rupees$$
Also Five Rupees $$40 \ Paise= 5 \ Rupees + 0.40 \ Rupees$$
$$= 5.40 \ Rupees$$
Now to find (Three rupees $$5$$ paise)$$\times $$(five rupees $$40$$ paise)
$$=3.05\times 5.40 \\=Rs.\ 16.47$$
Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are purchased in sets of 2 for 12.How much will purchasing these products cost?
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$132.85
0%
$145.75
0%
$162.90
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$225.25
0%
$226.75
What is the difference between 3.8 and 0.571?
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0.73
0%
2.567
0%
3.229
0%
4.262
Explanation
Numbers are $$3.8$$ and $$0.571$$.
Subtracting both of them,
Ref. image
Answer - C
State True or False.
$$0.05\times 7$$ =
$$0.35$$
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0%
True
0%
False
Explanation
Multiply $$0.05 \times 7$$
$$ = \dfrac{{5}}{{100}} \times 7$$
$$ = \dfrac{{35}}{{100}}$$
$$=0.35$$
State True or False:
$$210.01\times 5$$
$$=1050.05$$
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0%
True
0%
False
Explanation
LHS $$=210.01 \times 5$$
$$ = \dfrac{{21001}}{{100}} \times 5$$
$$ = \dfrac{{105005}}{{100}}$$
$$=1050.05=$$ RHS
Answer: True
Is the simplified fraction form:
$$6\times \cfrac { 1 }{ 5 } $$
$$=1\cfrac { 2 }{ 5 } $$
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0%
True
0%
False
Explanation
We have, $$6\times\dfrac{1}{5}=\cfrac{6}{5}=\cfrac{1\times5+1}{5}=1\cfrac{1}{5}\quad[\because a\cfrac{b}{c}=\cfrac{a\times c+b}{c}]$$
So, above statement is false.
Hence, $$\text{B}$$ is the correct option.
Multiply and reduce to lowest form:
$$\cfrac { 2 }{ 3 } \times 5\cfrac { 1 }{ 5 } $$
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$$3\cfrac { 7 }{ 15 } $$
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$$7\cfrac { 3 }{ 15 } $$
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$$\cfrac { 7 }{ 15 } $$
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$$3\cfrac { 3 }{ 15 } $$
Explanation
$$\dfrac{2}{3}\times 5\dfrac{1}{5}$$
Can be written as
$$\dfrac{2}{3}\times \dfrac{26}{5}$$
$$=\dfrac{52}{15}$$
$$=3\dfrac{7}{15}$$
State true/false:
$$1234.56$$ is equal to
$$1000+200+30+4+\cfrac { 5 }{ 10 } +\cfrac { 6 }{ 100 } $$
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0%
True
0%
False
Explanation
Given 1234.56 can be written as
$$1234.56 = 1000 + 200 + 30 + 4 + 0.5 + 0.6$$
$$= 1000 + 200 + 30 + 4 +$$ $$\dfrac{5}{10}$$ + $$\dfrac{6}{100}$$
So, given statement is true
State true/false:
For the given ,
$$\dfrac{6}{7} \times 2$$
the answer as a mixed fraction is
$$1\dfrac{5}{7} $$
Report Question
0%
True
0%
False
Explanation
$$\dfrac{6}{7} \times 2$$
Can be written as
$$=\dfrac{12}{7} $$
$$=1\dfrac{5}{7} $$
State true or false.
$$5.34\times 0.03=0.1602$$
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0%
True
0%
False
Explanation
So, given statement is true
Solve the following:
$$0.45\div 5$$
Ans:
$$0.09$$
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0%
True
0%
False
Explanation
Given, $$0.45\div 5$$
Could be written as,
$$= \dfrac{45}{100}\times \dfrac{1}{5}$$
$$= \dfrac{9}{100}$$
$$= 0.09$$
So, given statement is true.
Rahul bought $$4kg$$ $$90g$$ of apples, $$2kg$$ $$60g$$ of grapes and $$5kg$$ $$300g$$ of mangoes. The total weight of all the fruits he bought is _______ .
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$$11.000kg$$
0%
$$11.450kg$$
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$$11.350kg$$
0%
$$11.250kg$$
State true or false
The value of $$127.1÷1000$$ is
$$= 0.1271$$
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0%
True
0%
False
Explanation
Given, $$127.1\div 1000$$
Could be written as,
$$= \dfrac{1271}{10}\times \dfrac{1}{1000}$$
$$= \dfrac{1271}{10000}$$
$$= 0.1271$$
So, given statement is true.
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