Ratio and Proportion Test

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Ratio and Proportion Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

$$\displaystyle \frac {25} {75} = \frac {x} {15}$$. find value of $$x$$.

A
$$25$$

B
$$1$$

C
$$15$$

D
$$5$$

Solution

$$\displaystyle \frac {25} {75} = \frac {25\div 5} {75\div 5} = \frac {5} {15} $$

so, value of $$x$$ is 5
Question 2
1 / -0

Ratio symbol is _____ and is read as ____.

A
$$: :$$ equal to

B
$$:$$ is to

C
$$=$$ equal to

D
None of these

Solution

ratio symbol is : and is read as is to
Question 3
1 / -0

Two numbers are respectively 20% and 50% more than a third number The ratio of the two numbers is

A
2 : 5

B
3 : 5

C
4 : 5

D
6 : 7

Solution

$$\textbf{Step 1: Forming the equations}$$
$$\text{Let the third number be }x$$
$$\text{First number a is 20% more than }x$$
$$a=x+\dfrac{20}{100}x=\dfrac{120}{100}x=1.2x$$
$$\text{First number b is 50% more than }x$$
$$b=x+\dfrac{50}{100}x=\dfrac{150}{100}x=1.5x$$
$$\textbf{Step 2: Finding the ratio of the two numbers}$$
$$\dfrac{a}{b}=\dfrac{1.2x}{1.5x}=\dfrac{12}{15}=\dfrac{4}{5}$$
$$\textbf{Final Answer: The ratio of the two numbers is 4:5. The correct option is C.}$$
Question 4
1 / -0

Ratio of 200 ml to 2 litre is____.

A
$$20 : 1$$

B
$$1 : 10$$

C
$$2 : 200$$

D
$$1 : 20$$

Solution

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 $$1 : 10$$.
Question 5
1 / -0

Simplest form of the ratio $$144 : 28$$ is

A
$$28 : 4$$

B
$$36 : 7$$

C
$$7 : 36$$

D
$$1 : 2$$

Solution

$$\displaystyle\frac {144}{28}$$ $$ =$$ $$\displaystyle\frac {36}{7}$$

As, highest common factor (HCF) $$= 4$$
$$\therefore$$ The simplest form of the ratio $$144 : 28$$ is $$36:7$$
Question 6
1 / -0

Veronica can type $$28$$ words per minute. At this rate, how many words can Veronica type in $$\displaystyle 5 \frac{1}{2}$$ minutes ?

A
$$154$$ words.

B
$$156$$ words.

C
$$159$$ words.

D
$$162$$ words.

Solution

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.
Question 7
1 / -0

Find the ratio of $$5$$ cm to $$10$$ m

A
$$\dfrac{1}{2}$$

B
$$\dfrac{1}{20}$$

C
$$\dfrac{1}{200}$$

D
$$\dfrac{1}{2000}$$

Solution

Since, $$1m=100cm$$
Required ratio $$=\dfrac{5}{10}\div100=\dfrac{1}{200}$$
Question 8
1 / -0

Ratio of 250ml to 2L is

A
25 : 200

B
8 : 1

C
1 : 8

D
120 : 300

Solution

We know,
1L = 1000ml
Therefore, 2L=2000ml
Ratio = 250:2000= 1:8
Question 9
1 / -0

The ratio of 0.24 kg and 280 g is___

A
$$7 : 6$$

B
$$6 : 7$$

C
$$6 : 14$$

D
None of these

Solution

$$=0.24 kg : 280 g = 240 g : 280 g$$
$$= 6 : 7$$
Question 10
1 / -0

John types $$450$$ words in half an hour. How many words would be typed in $$6$$ minutes?

A
$$80$$

B
$$85$$

C
$$60$$

D
$$90$$

Solution

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.

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 8

Result

Ratio and Proportion Test - 8

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SHARING IS CARING

Question 1

$$25$$

$$1$$

$$15$$

$$5$$

Solution

Question 2

$$: :$$ equal to

$$:$$ is to

$$=$$ equal to

None of these

Solution

Question 3

2 : 5

3 : 5

4 : 5

6 : 7

Solution

Question 4

$$20 : 1$$

$$1 : 10$$

$$2 : 200$$

$$1 : 20$$

Solution

Question 5

$$28 : 4$$

$$36 : 7$$

$$7 : 36$$

$$1 : 2$$

Solution

Question 6

$$154$$ words.

$$156$$ words.

$$159$$ words.

$$162$$ words.

Solution

Question 7

$$\dfrac{1}{2}$$

$$\dfrac{1}{20}$$

$$\dfrac{1}{200}$$

$$\dfrac{1}{2000}$$

Solution

Question 8

25 : 200

8 : 1

1 : 8

120 : 300

Solution

Question 9

$$7 : 6$$

$$6 : 7$$

$$6 : 14$$

None of these

Solution

Question 10

$$80$$

$$85$$

$$60$$

$$90$$

Solution

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