Ratio and Proportion Test

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Ratio and Proportion Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

The Simplest form of 144:28 is

A
$$\dfrac{28}{4}$$

B
$$\dfrac{36}{7}$$

C
$$\dfrac{7}{36}$$

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

Solution

The given ratio is $$144:28$$
divide the ratio by $$4$$ to simpify ratio$$=\dfrac{\dfrac{144}{4}}{\dfrac{28}{4}}=36:7$$
Question 2
1 / -0

A jar contains black and white marbles. If there are 25 marbles in the jar, then which of the following could not be the ratio of black to white marbles?

A
$$\dfrac{12}{13}$$

B
$$\dfrac{11}{14}$$

C
$$\dfrac{1}{10}$$

D
$$\dfrac{8}{17}$$

Solution

In this Question the sum of ratio of marbles must be 25.
A. $$12+13=25$$
B. $$11+14=25$$
C. $$1+10=11$$
D. $$8+17=25$$
Question 3
1 / -0

A farmer has enough food to feed $$20$$ animals in his cattle for $$6$$ days. How long would the food last if there were $$10$$ more animals in his cattle?

A
$$2$$

B
$$7$$

C
$$4$$

D
$$15$$

Solution

$$
20\quad animals:\quad Food\quad =\quad 6\quad days\\ 30\quad animals:\quad Food\quad =\quad ??\\ \dfrac { 20 }{ 30 } \times 6\quad =\quad 4\quad days
$$
Question 4
1 / -0

To make a cup of tea, the ratio of water to milk is $$3: 1$$. To make $$4$$ cups of tea the ratio of water to milk is :

A
$$4 : 3 $$

B
$$12 : 1$$

C
$$12 :4$$

D
$$4 : 12$$

Solution

A $$cup$$ of tea has Water to Milk Ratio
$$W:M= 3:1$$
where $$W$$ and $$ M$$ are $$Water$$ and $$Milk$$
Now, $$4 $$ cups will have $$4 $$ times the $$Water$$ and $$milk$$ of a single $$cup $$.
So, the ratio will be
$$=\dfrac{3\times 4}{1\times 4}$$

$$=\dfrac{12}{4}$$ or $$12:4$$.
Question 5
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A loaded truck travels $$14$$ km in $$25$$ minutes. If the speed remains the same, how far can it travel in $$5$$ hours?

A
$$130$$ km

B
$$156$$ km

C
$$170$$ km

D
$$168$$ km

Solution

In $$25\ minutes$$ a loaded truck travels $$14\ kms$$

In $$60\ minutes(1\ hr)$$ it travels = $$\dfrac{14\times60}{25}=33.6\ kms$$

Therefore im $$5\ hrs$$ it will travel = $$33.6\times5=168\ kms$$
Question 6
1 / -0

In a school the total number of students are $$3200$$ out of which $$1800$$ are boys. Remaining are girls. Ratio of number of girls to boys is:

A
$$\dfrac{1400}{3200}$$

B
$$\dfrac{9}{7}$$

C
$$\dfrac{7}{9}$$

D
$$\dfrac{1}{3}$$

Solution

The total number of boys in school $$=1800$$
the total number of student $$=3200$$
therefore the total number of girls$$=3200-1800=1400$$
$$\therefore $$, Ratio $$=\dfrac{\text{Girls}}{\text{Boys}}=\dfrac{1400}{1800}$$
$$\text{Ratio}=7:9$$
Question 7
1 / -0

Ratio of $$250$$ ml to $$2$$ L is

A
$$25 : 100$$

B
$$8 : 1$$

C
$$1 : 8$$

D
$$2 : 1$$

Solution

$$2\ L = 2000\ ml$$
Now, the ratio
$$250 : 2000$$
$$=1 : 8$$
Question 8
1 / -0

I consume $$7$$ chapatis at lunch and $$8$$ chapatis at dinner. How many dozen chapatis do I consume in a leap year?

A
$$\;450.5\:dozen$$

B
$$\;460.5\:dozen$$

C
$$\;457.5\:dozen$$

D
$$\;467.5\:dozen$$

Solution

In $$1$$ day I consume $$15$$ chapatis $$=\displaystyle\frac{15}{12}dozen$$ chapatis
$$\;\;\;\;\;\therefore$$ In $$366\:days$$ I consume $$\displaystyle\frac{15}{12}\times366\:dozen$$ chapatis $$=457.5\:dozen$$ chapatis.
Question 9
1 / -0

In an office, the working hours are $$10.30$$ AM to $$5.30$$ PM and in between $$30$$ minutes are spent on lunch. Find the ratio of office hours to the time spent for lunch.

A
$$\dfrac{7}{30}$$

B
$$\dfrac{1}{14}$$

C
$$\dfrac{14}{1}$$

D
$$\dfrac{30}{7}$$

Solution

The offfice hours are from $$10.30 AM$$ to $$5.30PM$$ hence total office hours are $$7hours$$ and lunch time hours is $$\dfrac{1}{2} hours$$
ratio of office hrs to lunch time =$$\dfrac{7}{1/2}$$
this gives ratio =$$14:1$$
Question 10
1 / -0

Mala and Bala got $$75$$ marks and $$25$$ marks respectively in an examination. The ratio of the marks scored by Mala to the total marks obtained by both of them is

A
$$3 : 4$$

B
$$3 : 1$$

C
$$1 : 3$$

D
$$4 : 3$$

Solution

Let $$x$$ and $$y$$ denote the marks obtained by Mala and Bala
$$\therefore x=75$$ and $$y=25$$

Now, total marks $$=x+y= 75 + 25 = 100$$
$$\therefore$$ Ratio of Mala's marks to that of total marks $$=x:\text{total marks} = 75 : 100 = 3 : 4$$

Hence, option A is correct.

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 5

Result

Ratio and Proportion Test - 5

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SHARING IS CARING

Question 1

$$\dfrac{28}{4}$$

$$\dfrac{36}{7}$$

$$\dfrac{7}{36}$$

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

Solution

Question 2

$$\dfrac{12}{13}$$

$$\dfrac{11}{14}$$

$$\dfrac{1}{10}$$

$$\dfrac{8}{17}$$

Solution

Question 3

$$2$$

$$7$$

$$4$$

$$15$$

Solution

Question 4

$$4 : 3 $$

$$12 : 1$$

$$12 :4$$

$$4 : 12$$

Solution

Question 5

$$130$$ km

$$156$$ km

$$170$$ km

$$168$$ km

Solution

Question 6

$$\dfrac{1400}{3200}$$

$$\dfrac{9}{7}$$

$$\dfrac{7}{9}$$

$$\dfrac{1}{3}$$

Solution

Question 7

$$25 : 100$$

$$8 : 1$$

$$1 : 8$$

$$2 : 1$$

Solution

Question 8

$$\;450.5\:dozen$$

$$\;460.5\:dozen$$

$$\;457.5\:dozen$$

$$\;467.5\:dozen$$

Solution

Question 9

$$\dfrac{7}{30}$$

$$\dfrac{1}{14}$$

$$\dfrac{14}{1}$$

$$\dfrac{30}{7}$$

Solution

Question 10

$$3 : 4$$

$$3 : 1$$

$$1 : 3$$

$$4 : 3$$

Solution

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