Ratio and Proportion Test

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Ratio and Proportion Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

The ratio of $$150\ g$$ to $$2\ kg$$ is

A
$$75:1$$

B
$$40:3$$

C
$$3:40$$

D
$$3:200$$

Solution

We have, $$150\ g$$ to $$2\ kg$$
$$=150\ g:2\times 1000\ g$$
$$=150\ g:2000\ g$$
Divide both term by $$50$$
$$=\dfrac{150}{50}:\dfrac{2000}{50}$$
$$=3:40$$
Question 2
1 / -0

Select the appropriate alternative answer for the following question.
What is the ratio of $$1 mm$$ to $$1 cm$$?

A
$$1:100$$

B
$$10:1$$

C
$$1:10$$

D
$$100:1$$

Solution

We know that: $$1cm=10mm$$
Therefore,
Ratio of $$1mm$$ to $$1cm = 1mm:1cm$$
$$=1mm:10mm$$
$$=1:10$$
Question 3
1 / -0

The ratio of 4kgs and 16kgs is

A
$$1:\sqrt{2}$$

B
$$1: 2$$

C
$$1: 4$$

D
$$1:8$$

Solution

The ratio gets divided as,
$$\dfrac{4}{16}$$=$$\dfrac{1}{4}$$
Question 4
1 / -0

In an office the working hours are 9:30 AM to 4:30 PM and in between 20 minutes are spent on lunch Find the ratio of office hours to the time spent for lunch-

A
$$21:1$$

B
$$1:14$$

C
$$7:30$$

D
$$30:7$$

Solution

Total time in office $$ = 9:30\ to\ 4:30 = 7 hours $$

Ratio of two quantities can be found when they are of same units.

So, $$ 7 \ hours = 7 \times 60 = 420 \ minutes $$
Hence, ratio $$ = \dfrac {420 \ min }{20\ min } = 21:1 $$
Question 5
1 / -0

The ratio $$15:75$$ in its simplest form is

A
$$1:8$$

B
$$1:5$$

C
$$7:1$$

D
$$1:7$$

Solution

Given ratio is $$15:75$$

$$\Rightarrow \cfrac{15}{75} =\cfrac{1 \times15}{5 \times15}=\cfrac{1}{5}$$

so, the simplest form is $$1:5$$
Question 6
1 / -0

The ratio of $$96$$ m and $$72$$ m is:

A
$$3 : 4$$

B
$$4 : 3$$

C
$$2 : 1$$

D
$$4 : 1$$

Solution

$$96 m : 72 m = 96 : 72 = 4 : 3$$
Question 7
1 / -0

If $$\displaystyle M=a\left ( m+n \right )$$ and $$\displaystyle N=b(m-n)$$ then the value of $$\displaystyle \left ( \frac{M}{a}+\frac{N}{b} \right )\div \left ( \frac{M}{a}-\frac{N}{b} \right )$$ is :

A
$$\displaystyle \frac{m}{n}$$

B
$$\frac{n}{m}$$

C
1

D
$$\frac{1}{2}$$

Solution

$$\displaystyle \frac{M}{a}=m+n;\frac{N}{b}=m-n$$
$$\displaystyle \therefore \left ( \frac{M}{a}+\frac{N}{b} \right )\div \left ( \frac{M}{a}-\frac{N}{b} \right )=2m\div 2n=\frac{m}{n}$$
Question 8
1 / -0

Find the ratio of the following :
The speed of cycle is $$15$$km per hour to the speed of scooter $$30$$km per hour.

A
$$1:2$$

B
$$1:4$$

C
$$2:1$$

D
$$4:1$$

Solution

Speed of cycle which is $$15km/hr$$ to the speed of scooter which is $$30km/hr = \cfrac {15 km}{30 km} =\cfrac 12 = 1:2$$
Question 9
1 / -0

A basket has 30 items, find the number of items that two persons A and B gets if the the items are divided in the ratio of 2:3.

A
14 and 16

B
12 and 18

C
9 and 21

D
none of these

Solution

Since the ratio is $$2:3$$,
$$\displaystyle 30\times \frac{2}{5}=12$$

$$\displaystyle 30\times \frac{3}{5}=18$$

So person A will get $$12$$ and person B will get $$18$$ items
Question 10
1 / -0

The antecedent and consequent of a ratio .............. interchanged unless there is a change in the given statements.

A
Can be

B
Cannot be

C
Sometime

D
None of these

Solution

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 14

Result

Ratio and Proportion Test - 14

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SHARING IS CARING

Question 1

$$75:1$$

$$40:3$$

$$3:40$$

$$3:200$$

Solution

Question 2

$$1:100$$

$$10:1$$

$$1:10$$

$$100:1$$

Solution

Question 3

$$1:\sqrt{2}$$

$$1: 2$$

$$1: 4$$

$$1:8$$

Solution

Question 4

$$21:1$$

$$1:14$$

$$7:30$$

$$30:7$$

Solution

Question 5

$$1:8$$

$$1:5$$

$$7:1$$

$$1:7$$

Solution

Question 6

$$3 : 4$$

$$4 : 3$$

$$2 : 1$$

$$4 : 1$$

Solution

Question 7

$$\displaystyle \frac{m}{n}$$

$$\frac{n}{m}$$

1

$$\frac{1}{2}$$

Solution

Question 8

$$1:2$$

$$1:4$$

$$2:1$$

$$4:1$$

Solution

Question 9

14 and 16

12 and 18

9 and 21

none of these

Solution

Question 10

Can be

Cannot be

Sometime

None of these

Solution

User

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