Ratio and Proportion Test

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Ratio and Proportion Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

In a class, there are $$50$$ boys and $$30$$ girls. The ratio of the number of boys to the number of girls in the class is:

A
$$80 : 50$$

B
$$3 : 5$$

C
$$5 : 3$$

D
none of the above

Solution

Number of boys in class $$=50$$
Number of girls in class $$=30$$
Ratio of number of boys to the number of girls in the class $$=50:30=5:3$$
Question 2
1 / -0

In our country India the ratio of number of states to the number of union territories is

A
7 : 28

B
25 : 7

C
28: 9

D
7 : 25

Solution

Number of states $$= 29$$
Number of union territories $$= 9$$
Ratio $$29: 9$$
Question 3
1 / -0

The ratio of $$Rs. 3$$ and $$60$$ paise is:

A
$$1 : 20$$

B
$$5 : 1$$

C
$$1:2$$

D
$$20 : 1$$

Solution

$$\textbf{Step1- Change Rs.3 into paise}$$
$$\text{Rs.3=3 $\times$ 100 }\text{paise}$$ $$\quad \quad \textbf{[Since 1 Ruppee = 100 paise]}$$
$$\Rightarrow Rs.3 = 300$$ $$\text{paise}$$ $$\quad \quad \text{.....eqn(i)}$$

$$\textbf{Step2- Find the required ratio}$$
$$\text{ Ratio of Rs.3 and 60 paise = } \cfrac{Rs.3}{\text{60 paise}}$$
$$\text{ Ratio of Rs.3 and 60 paise = } \cfrac{\text{300 paise}}{\text{60 paise}}$$ $$\quad \quad \textbf{[From eqn(i)]}$$
$$\text{ Ratio of Rs.3 and 60 paise = } \cfrac{300}{60}$$
$$\text{ Ratio of Rs.3 and 60 paise = }\cfrac{5}{1}$$
$$\text{ Ratio of Rs.3 and 60 paise = } 5:1$$

$$\textbf{Hence option B is correct}$$
Question 4
1 / -0

The ratio of $$0.12$$ kg and $$180$$ g is

A
$$0.01 : 1.8$$

B
$$1 : 15$$

C
$$2 : 3$$

D
none of the above

Solution

We know that $$0.12kg=120g$$.
$$\Rightarrow \cfrac{0.12kg}{180g} =\cfrac{120g}{180g}=\cfrac{2}{3}$$
Required ratio $$=2:3$$
Question 5
1 / -0

Ratio of 30 hrs to 300 min is____

A
$$6 : 1$$

B
$$1 : 6$$

C
$$4 : 1$$

D
$$900 : 300$$

Solution

$$\displaystyle 30\times 60=1800 min:300 min$$
$$=1800 : 300$$
$$=6 : 1$$
Question 6
1 / -0

The length and width of a tape are 3 m and 24 cm. Write their ratio___

A
$$25 : 2$$

B
$$25 : 1$$

C
$$2 : 25$$

D
$$1 : 25$$

Solution

Length = 3 m = 300 cm
Width = 24 cm
Length : Width
$$=300 : 24$$
$$=25 : 2$$
Question 7
1 / -0

The ratio of Rs. 4 and 80 paise is____

A
$$1 : 5$$

B
$$1 : 30$$

C
$$5 : 1$$

D
$$30 : 1$$

Solution

$$Rs. 4 : 80 p = 400 p : 80 p = 5 : 1$$
Question 8
1 / -0

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___

A
$$2 : 1$$

B
$$1 : 3$$

C
$$1 : 2$$

D
$$3 : 1$$

Solution

Total students = 3000
Boys = 2000
Girls = 1000
Ratio of girls to boys$$ = 1000 : 2000 = 1 : 2$$
Question 9
1 / -0

If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.

A
1:2

B
3:1

C
4:1

D
3:4

Solution

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 $$4:1.$$
Question 10
1 / -0

Ratio of $$300 g$$ and $$2 kg$$ is_____

A
$$60 : 1$$

B
$$3 : 20$$

C
$$20 : 3$$

D
None of these

Solution

$$ \dfrac{300g}{2000g}$$ , $$ (1kg= 1000g)$$

$$= \dfrac{3}{20}$$
Hence, option $$B$$ is correct

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 7

Result

Ratio and Proportion Test - 7

Score

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Rank

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SHARING IS CARING

Question 1

$$80 : 50$$

$$3 : 5$$

$$5 : 3$$

none of the above

Solution

Question 2

7 : 28

25 : 7

28: 9

7 : 25

Solution

Question 3

$$1 : 20$$

$$5 : 1$$

$$1:2$$

$$20 : 1$$

Solution

Question 4

$$0.01 : 1.8$$

$$1 : 15$$

$$2 : 3$$

none of the above

Solution

Question 5

$$6 : 1$$

$$1 : 6$$

$$4 : 1$$

$$900 : 300$$

Solution

Question 6

$$25 : 2$$

$$25 : 1$$

$$2 : 25$$

$$1 : 25$$

Solution

Question 7

$$1 : 5$$

$$1 : 30$$

$$5 : 1$$

$$30 : 1$$

Solution

Question 8

$$2 : 1$$

$$1 : 3$$

$$1 : 2$$

$$3 : 1$$

Solution

Question 9

1:2

3:1

4:1

3:4

Solution

Question 10

$$60 : 1$$

$$3 : 20$$

$$20 : 3$$

None of these

Solution

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