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CBSE Questions for Class 6 Maths Ratio And Proportion Quiz 2 - MCQExams.com
CBSE
Class 6 Maths
Ratio And Proportion
Quiz 2
In a school the total number of students are 3000 out of which 2000 are boys Remaining are girls Ratio of girls to boys is___
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0%
$$2 : 1$$
0%
$$1 : 3$$
0%
$$1 : 2$$
0%
$$3 : 1$$
Explanation
Total students = 3000
Boys = 2000
Girls = 1000
Ratio of girls to boys$$ = 1000 : 2000 = 1 : 2$$
If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.
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0%
1:2
0%
3:1
0%
4:1
0%
3:4
Explanation
Let the side of one square is $$2x$$ and the side of the other square is $$x$$.
So, the ratio of their areas
$$=\dfrac {(2x)^2}{x^2}=\dfrac{4x^2}{x^2}$$
$$=\dfrac 41$$ or $$4:1.$$
Ratio of $$300 g$$ and $$2 kg$$ is_____
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0%
$$60 : 1$$
0%
$$3 : 20$$
0%
$$20 : 3$$
0%
None of these
Explanation
$$ \dfrac{300g}{2000g}$$ , $$ (1kg= 1000g)$$
$$= \dfrac{3}{20}$$
Hence, option $$B$$ is correct
$$\displaystyle \frac {25} {75} = \frac {x} {15}$$. find value of $$x$$.
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0%
$$25$$
0%
$$1$$
0%
$$15$$
0%
$$5$$
Explanation
$$\displaystyle \frac {25} {75} = \frac {25\div 5} {75\div 5} = \frac {5} {15} $$
so, value of $$x$$ is 5
Ratio symbol is _____ and is read as ____.
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0%
$$: :$$ equal to
0%
$$:$$ is to
0%
$$=$$ equal to
0%
None of these
Explanation
ratio symbol is : and is read as is to
Two numbers are respectively 20% and 50% more than a third number The ratio of the two numbers is
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0%
2 : 5
0%
3 : 5
0%
4 : 5
0%
6 : 7
Explanation
$$\textbf{Step 1: Forming the equations}$$
$$\text{Let the third number be }x$$
$$\text{First number a is 20% more than }x$$
$$a=x+\dfrac{20}{100}x=\dfrac{120}{100}x=1.2x$$
$$\text{First number b is 50% more than }x$$
$$b=x+\dfrac{50}{100}x=\dfrac{150}{100}x=1.5x$$
$$\textbf{Step 2: Finding the ratio of the two numbers}$$
$$\dfrac{a}{b}=\dfrac{1.2x}{1.5x}=\dfrac{12}{15}=\dfrac{4}{5}$$
$$\textbf{Final Answer: The ratio of the two numbers is 4:5. The correct option is C.}$$
Ratio of 200 ml to 2 litre is____.
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0%
$$20 : 1$$
0%
$$1 : 10$$
0%
$$2 : 200$$
0%
$$1 : 20$$
Explanation
The units of the two quantities must be same.
We know that, $$1 \ litre =1000\ ml$$
$$\therefore \ 2 \ litre = 2000 \ ml$$
Hence, required ratio, $$200 \ ml : 2 \ litre$$ will be:
$$200 : 2000$$
$$\Rightarrow 1 : 10$$
Hence, the required ratio is $$1 : 10$$.
Simplest form of the ratio $$144 : 28$$ is
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0%
$$28 : 4$$
0%
$$36 : 7$$
0%
$$7 : 36$$
0%
$$1 : 2$$
Explanation
$$\displaystyle\frac {144}{28}$$ $$ =$$ $$\displaystyle\frac {36}{7}$$
As, highest common factor (HCF) $$= 4$$
$$\therefore$$ The simplest form of the ratio
$$144 : 28$$ is $$36:7$$
Veronica can type $$28$$ words per minute. At this rate, how many words can
Veronica type in $$\displaystyle 5 \frac{1}{2}$$ minutes ?
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0%
$$154$$ words.
0%
$$156$$ words.
0%
$$159$$ words.
0%
$$162$$ words.
Explanation
In $$1$$ minute, Veronica can type $$28$$ words.
In $$5\dfrac{1}{2}$$ minutes, Veronica can type
$$=5\dfrac{1}{2}\times 28$$ words
$$=\dfrac{11}{2}\times 28$$ words
$$=154$$ words
Hence, Veronica can type $$154$$ words in $$5\dfrac{1}{2}$$ minutes.
The ratio of 0.24 kg and 280 g is___
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0%
$$7 : 6$$
0%
$$6 : 7$$
0%
$$6 : 14$$
0%
None of these
Explanation
$$=0.24 kg : 280 g = 240 g : 280 g$$
$$= 6 : 7$$
John types $$450$$ words in half an hour. How many words would be typed in $$6$$ minutes?
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0%
$$80$$
0%
$$85$$
0%
$$60$$
0%
$$90$$
Explanation
Words typed in $$30$$ minutes $$=450$$
Words typed in $$1$$ minutes will be,
$$\dfrac{450}{30}=15$$
So, words typed in $$6$$ minutes will be equal to,
$$15\times6=90$$
Hence, option $$D$$ is the correct answer.
Ratio of $$60$$ hrs to $$600$$ min is
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0%
$$3600 : 600$$
0%
$$1 : 6$$
0%
$$6 : 1$$
0%
$$5 : 1$$
Explanation
We know,
$$1 hr = 60 min$$
Therefore , $$60 hrs= 60 \times 60 = 3600 min $$
Ratio $$=3600:600=6:1$$
The length and width of a tape are
2m and 28cm. Write their ratio.
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0%
100 : 14
0%
7 : 50
0%
50 : 7
0%
1 : 8
Explanation
$$Length = 2m = 200 cm$$ ($$\because 100cm =1m$$)
$$Width = 28 cm$$
$$Ratio =\dfrac{Length}{ Width}$$ = $$\dfrac{200}{28}$$
$$= \dfrac {50 }{7}$$
In the ratio $$5:9,\,5$$ is called
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0%
consequent
0%
antecedent
0%
both consequent and antecedent
0%
none of the above
Explanation
In the ratio $$a:b$$, the quantities $$a$$ and $$b$$ are called terms of the ratio. Here, '$$a$$' is called the first term or the antecedent and '$$b $$' is called the second term or consequent.
Ratio of 350 g and 3 kg is
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116 : 1
0%
60: 7
0%
7: 60
0%
None
Explanation
$$350g = 3000g$$
Ratio $$= 350 : 3000$$
=
35 : 300
$$= 7 : 60$$
The ratio of weights of a child and an adult is $$2 : 5$$. Here, $$5$$ is called ________
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0%
Constant
0%
Ratio
0%
Antecedent
0%
Consequent
Explanation
The given ratio is $$2 : 5$$. Here, $$5$$ being the second term in the ratio, is called consequent.
In a simple ratio, the first term is called the ________
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0%
Constant
0%
Consequent
0%
Antecedent
0%
None of these
Explanation
In a simple ratio, say $$a : b$$, the first term i.e. a is called the antecedent.
In $$12 : 24$$, the antecedent is _______
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0%
$$2$$
0%
$$12$$
0%
$$24$$
0%
$$1$$
Explanation
In a ratio, the first term is called the antecedent. Therefore, $$12$$ is the antecedent in the ratio $$12 : 24$$.
In $$1 : 2$$, ______ is the consequent
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0%
$$1$$
0%
$$2$$
0%
$$\dfrac {1}{2}$$
0%
$$1 : 2$$
Explanation
$$1:2\longrightarrow \\ \downarrow $$ Consequent
Antecedent
The ratio of the length of a salwar and dupatta having lengths $$3m$$ and $$2m$$ is $$3 : 2$$. Here, $$3$$ is the _____
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0%
Consequent
0%
Antecedent
0%
Constant
0%
None of these
Explanation
In the ratio $$a : b$$, a is called the antecedent. Similarly, in $$3 : 2, 3$$ is called the antecedent.
Find the antecedent and consequent in the ratio $$16 : 5$$.
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antecedent=$$16$$, consequent=$$5$$
0%
antecedent=$$5$$, consequent=$$16$$
0%
antecedent=$$6$$, consequent=$$2$$
0%
antecedent=$$8$$, consequent=$$4$$
Explanation
In a ratio $$a:b$$, the first term is called the antecedent and second term is called consequent.
Therefore, in this ratio $$16:5$$, $$16$$ is the first term and $$5$$ is second term.
Thus, $$16$$ is the antecedent and $$5$$ is consequent.
In the ratio $$\dfrac{a}{b}$$ , $$b$$ is called
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0%
Antecedent
0%
Consequent
0%
Mean
0%
none of the above.
Explanation
In the ratio $$\dfrac{a}{b},b$$ is called consequent.
What is antecedent?
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0%
The first term of a ratio
0%
The second term of a ratio
0%
The first term of a proportion
0%
The second term of a proportion
Explanation
In the ratio $$a : b$$, a and b are called the terms of the ratio and a is called the antecedent, i.e. the first term.
In $$1 : 7$$, the antecedent is ______
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0%
$$1$$
0%
$$7$$
0%
$$17$$
0%
None of these
Explanation
In a ratio, the first term is called the antecedent. Therefore, $$1$$ is the antecedent in the ratio $$1 : 7$$.
What is a consequent?
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0%
The first term of a ratio
0%
The second term of a ratio
0%
The first term of a proportion
0%
The second term of a proportion
Explanation
In a ratio $$a : b$$, a and b are called the first and the second terms respectively. here b is called the consequent.
If a certain car can travel $$240$$ miles on $$12$$ gallons of gasoline, then at the same rate, calculate how many gallons of gasoline are needed to travel $$300$$ miles.
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0%
$$10$$
0%
$$15$$
0%
$$20$$
0%
$$25$$
0%
$$30$$
Explanation
We know that
A car can travel $$240$$ miles on $$12$$ gallons of gasoline
$$\therefore$$ A car can travel $$1$$ miles on $$=\dfrac{12}{240}=\dfrac{1}{20}$$ gallons of gasoline (Unitary method)
In order to travel $$300$$ miles=$$\dfrac{1}{20}*300=15$$ gallons of gasoline is required.
A group of $$24$$ students was polled as to whether they enjoy biology class, chemistry class, both, or neither. The results are shown in the table.
Given the data, Mark the correct statement.
Biology
Chemistry
Enjoy
$$14$$
$$18$$
Don't Enjoy
$$10$$
$$6$$
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The ratio of those who enjoy biology class to those who enjoy chemistry class is $$7:8$$
0%
The ratio of those who enjoy chemistry class to those who don't enjoy chemistry class is $$9:4$$
0%
The ratio of those who enjoy biology class to those who don't enjoy chemistry class is $$7:2$$
0%
The ratio of those who don't enjoy biology class to those who enjoy chemistry class is $$5:9$$
Explanation
(A) As per Statement and given data student who enjoy biology class are 14 and those who enjoy chemistry class is 18
Then ratio of
enjoy biology class and
enjoy chemistry class
=14:18=7:9
Then
statement
(A) is not correct
(B) As per Statement and given data student who enjoy chemistry class are 18 and those who don't enjoy chemistry class is 6
Then ratio of
enjoy biology class and
enjoy chemistry class
=18:6=3:1
Then
statement
(B) is not correct
(C) As per Statement and given data student who enjoy biology class are 14 and those who don"t enjoy chemistry class is 6
Then ratio of
enjoy biology class and
enjoy chemistry class
=14:6=7:3
Then
statement
(C) is not correct
(D) As per Statement and given data student who don"t enjoy biology class are 10 and those who enjoy chemistry class is 18
Then ratio of
enjoy biology class and
enjoy chemistry class
=10:18=5:9
Then
statement
(D) is correct .
In $$7 : 2$$, the consequent is ______
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0%
$$7$$
0%
$$2$$
0%
$$72$$
0%
$$\dfrac {7}{2}$$
Explanation
The second term, here $$2$$, in a ratio is called the consequent. Thus, $$2$$ is the consequent.
In $$4 : 8$$, the consequent is ________
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0%
$$8$$
0%
$$4$$
0%
$$\dfrac {4}{8}$$
0%
$$48$$
Explanation
The second term in a ratio is called consequent. Therefore, $$8$$ is the consequent of the ratio $$4 : 8$$.
Dale orders a soccer jersey online. If the jersey costs 40 euros, how many dollars did Dale have to pay for the jersey? (1 euro= $$ $1.2 $$ )
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0%
48
0%
62
0%
73
0%
51
Explanation
Given 1 euro = $ 1.2
And given jersey cost 40 euros
Then Dale pay Jersey cost 40 euros in dollars =$$40\times$ 1.2=$48$$
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