Ratio and Proportion Test

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Ratio and Proportion Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

If a $$3$$-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? ($$1$$ pound = $$16$$ ounces)

A
4

B
6

C
8

D
16

Solution

Total number of slices the pizza is cut into is $$ = 6 $$ as each half is cut into three more slices.
Now, weight of each pizza slice $$ = \dfrac { \text{Total weight}}{6} =\dfrac {3 \times 16}{6} = 8 $$ ounches
Question 2
1 / -0

Each floor of a high rise building is fitted with $$20$$ doors. There are $$12$$ floors in each building. There are $$25$$ such buildings in a complex. Calculate the total number of doors fitted in the complex.

A
$$2400$$

B
$$3000$$

C
$$6000$$

D
$$5000$$

Solution

Number of doors on $$1$$ floor$$=20$$
Number of floors in $$1$$ building $$12$$
$$\therefore$$ Number of doors in $$1$$ building
$$=20\times 12=240$$
Number of buildings in $$1$$ complex$$=25$$
$$\therefore$$ Number of doors in $$25$$ buildings
$$=240\times 25=6000$$
Question 3
1 / -0

What is the ratio of the shaded area to the unshaded area?

A
$$5:7$$

B
$$3:4$$

C
$$7:10$$

D
$$7:3$$

Solution

Total number of equal parts $$=10\times 2=20$$
Number of shaded parts $$=14$$
So, the number of unshaded parts $$=20-14=6$$
$$\therefore$$ Required ratio $$=14:6=7:3$$.
Question 4
1 / -0

The ratio of $$\left(\displaystyle\dfrac{1}{3}\text{ of Rs. }9.30\right)$$ to $$(0.6\text{ of Rs. }1.55)$$ is ___________.

A
$$1:3$$

B
$$10:3$$

C
$$3:10$$

D
$$3:1$$

Solution

$$\displaystyle\frac{1}{3}$$ of Rs. $$9.30=Rs. \left(\displaystyle\frac{1}{3}\times 9.30\right)=Rs. 3.10$$
$$0.6$$ of Rs. $$1.55=$$Rs. $$(0.6\times 1.55)=$$ Rs. $$0.93$$
$$\therefore$$ Required ratio$$=3.10:0.93=10:3$$.
Question 5
1 / -0

In the word COMPARISON, the ratio of number of consonants to the number of vowels is ___________.

A
$$4:7$$

B
$$7:4$$

C
$$6:4$$

D
$$4:6$$

Solution

Number of consonants in the given word $$=6$$
Number of vowels in the given word $$=4$$
$$\therefore$$ Required ratio $$=6:4$$.
Question 6
1 / -0

Out of $$30$$ students in a class, $$6$$ like football, $$12$$ like cricket and remaining like tennis. The ratio of number of students who like tennis to the total number of students, is:

A
$$2:3$$

B
$$5:1$$

C
$$2:5$$

D
$$5:2$$

Solution

Total number of students$$=30$$
Number of students who like football$$=6$$
Number of students who like cricket$$=12$$
$$\therefore$$ Number of students who like tennis $$=30-6-12=12$$
$$\therefore$$ Required ratio $$=12:30=2:5$$.
Question 7
1 / -0

Cost of a candy is $$50$$ paise and cost of an ice cream is Rs. $$20$$, then the ratio of the cost of a candy to the cost of an ice-cream is __________.

A
$$40:1$$

B
$$1:40$$

C
$$1:20$$

D
$$1:15$$

Solution

Cost of $$1$$ candy $$=50$$ paise
Cost of $$1$$ ice-cream $$=Rs. 20=20\times 100$$ paise
$$=2000$$ paise
$$\therefore$$ Required ratio $$=50:2000=1:40$$.
Question 8
1 / -0

Select the ratio that is equivalent to $$12:14$$

A
$$6:2$$

B
$$6:7$$

C
$$3:8$$

D
$$5:7$$

Solution

Given ratio is $$12:14$$
It can be rewritten as $$\dfrac{12}{14}=\dfrac{6\times 2}{7\times 2}$$
Cancelling $$2$$ from numerator and denominator, we get
$$\dfrac{12}{14}=\dfrac{6}{7}$$ i.e $$6:7$$
Hence, the answer is $$6:7$$.
Question 9
1 / -0

In a cricket coaching camp, $$1200$$ children are trained. Out of which $$900$$ are selected for various matches. Ratio of non-selected children to the total number of children is ___________.

A
$$300:120$$

B
$$4:1$$

C
$$1:4$$

D
$$120:300$$

Solution

Total number of children$$=1200$$
Number of selected children $$=900$$
$$\therefore$$ Number of non-selected children $$=1200-900=300$$
$$\therefore$$ Required ratio $$=300:1200=1:4$$.
Question 10
1 / -0

A sum of Rs. 9,000 is to be distributed among A, B and C in the ratio of 4 : 5 : 6. What will be the difference between A's and C's shares?

A
Rs. 600

B
Rs. 1,000

C
Rs. 900

D
Rs. 1,200

Solution

Given, total money $$= Rs.\,9,000$$

and $$A: B: C = 4 :5:6$$

$$A$$'s share $$=\dfrac{4}{(4 + 5 + 6)} \times 9000 = 2400$$

$$B$$'s share $$=\dfrac{5}{(4 + 5 + 6)} \times 9000 = 3000$$

$$C$$'s share $$=\dfrac{6}{(4 + 5 + 6)}\times 9000=3600$$

Hence, the difference between $$A$$'s share and $$C$$'s share $$=3600-2400$$

$$= 1200$$

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Re-Attempt Weekly Quiz Competition

Ratio and Proportion Test - 17

Result

Ratio and Proportion Test - 17

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SHARING IS CARING

Question 1

4

6

8

16

Solution

Question 2

$$2400$$

$$3000$$

$$6000$$

$$5000$$

Solution

Question 3

$$5:7$$

$$3:4$$

$$7:10$$

$$7:3$$

Solution

Question 4

$$1:3$$

$$10:3$$

$$3:10$$

$$3:1$$

Solution

Question 5

$$4:7$$

$$7:4$$

$$6:4$$

$$4:6$$

Solution

Question 6

$$2:3$$

$$5:1$$

$$2:5$$

$$5:2$$

Solution

Question 7

$$40:1$$

$$1:40$$

$$1:20$$

$$1:15$$

Solution

Question 8

$$6:2$$

$$6:7$$

$$3:8$$

$$5:7$$

Solution

Question 9

$$300:120$$

$$4:1$$

$$1:4$$

$$120:300$$

Solution

Question 10

Rs. 600

Rs. 1,000

Rs. 900

Rs. 1,200

Solution

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