Ratio and Proportion- Aptitude Questions and Answers

View in English View in Hindi

175 men can dig a canal of 3150 meters long in 36 days. How many men are required to dig a canal of 3900 meters long in 24 days?

A)

325


B)

350


C)

375


D)

400



Correct Answer :

325


Explanation :

175 men*36 days / X men*24 days = 3150 meters/3900 meters
175 *36 *3900 = 3150 *24 *X
X = 175 *36 *3900 / 3150 *24
X = 325

So, 325 men are required.

A bag contains red, blue and black balls. The ratio of red to blue balls is 3 : 5. The ratio of black to red balls is 3 : 4. What is the ratio of blue to black balls?

A)
5 : 3

B)
4 : 5

C)
9 : 20

D)
20 : 9


Correct Answer :

20 : 9


Explanation :

ratio of red to blue balls= red / blue = 3 / 5
ratio of black to red balls= black / red = 3 / 4

ratio of black to blue balls= (black / red) * (red / blue)
= (3 / 4) * (3 / 5)
= 3*3 / 4*5
= 9 / 20

Hence, ratio of blue to black balls = 1 /(9/20) = 20/9

2/7 of the stamps in Ravi's stamp collection are Indian stamps and the remaining are foreign stamps. What is the ratio of Indian stamps to foreign stamps in Ravi's stamp collection?

A)

2 : 5


B)

5 : 7


C)

5 : 2


D)

7 : 5



Correct Answer :

2 : 5


Explanation :

Total 7 stamps 2 are Indian stamps
Indian + Foreign stamps = 7
2 + Foreign stamps = 7
Foreign stamps = 5

the ratio of Indian stamps to Foreign stamps in Ravi’s collection= 2/5

A certain sum was divided among A, B and C in the ratio 5 : 7 : 6. If B received Rs 4500 more than C, find C's share?

A)

30,000


B)

27,000


C)

25,000


D)

23,000



Correct Answer :

27,000


Explanation :

Let the amount received by A, B, c be 5x, 7x and 6x respectively.
Since B received 4500 more than C,

7x-6x = 4500
x = 4500

C's share = 6x = 6*4500 = 27000
Hence, C's share is Rs 27000

Rs 750 are divided among A, B and C in such a manner that A : B = 5 : 2 and B : C = 7 : 13, What is A’s share?

A)
Rs 250

B)
Rs 300

C)
Rs 350

D)
Rs 400


Correct Answer :

Rs 350


Explanation :

Given ratio :
A : B = 5 : 2
B : C = 7 : 13

Solving for A : B : C
If A : B = a : b1 and B : C = b2 : c, then A : B : C = ab2 : b1b2 : b1c
So, A : B : C = 35 : 14 : 26
Let A, B and C be 35x, 14x and 26x respectively
35x + 14x + 26x = 750
75x = 750
x = 750/75
x = 10

A’s share, 35x = 35*10 = Rs 350
required A’s share = Rs. 350

An alloy contains copper and zinc in the ratio 5 : 3 and another contains copper and tin in the ratio 8 : 5, If equal weights of the two are melted together to form a 3​ rd​ alloy, find the weight of tin per kg in the new alloy?

A)
40/129

B)
5/13

C)
5/26

D)
28/5


Correct Answer :

5/26


Explanation :


Assume X kg of both the alloys are melted together.

weight of copper in X kg of 1st alloy = X* 5/5+3 = 5X/8 kg
weight of Zinc in X kg of 1st alloy = X* 3/5+3 = 3X/8 kg
Similarly
weight of Copper in X kg of 2nd alloy = X* 8/8+5 = 8X/13 kg
weight of Tin in X kg of 2nd alloy = X* 5/8+5 = 5X/13 kg

both alloy melted together, so total weight= X + X = 2X
Weight of tin per kg in total weight = 5X/13 kg / 2X = 5/26
Hence weight of tin in the resulting alloy per kg = 5/26

Latest Updates

Indian Geography

What is the approximate distance between earth and the moon?

Indian History

In which year was the battle of ‘Koregaon Bhima’ fought?

The approach that is very useful in organizing the content in history is.

General Knowledge of India

NITI Aayog stands for _____.

General Knowledge of MP

India’s first Ramayan art museum was established at?

Errors Identification

Read the sentence carefully and choose the option that has an error in it:
The management’s trusted employee was suspected of stealing large sum of money.

Read the sentence carefully and choose the option that has an error in it:
The teacher asked the child to repeat again because he spoke feebly.

Fill in the blank

Fill in the blank with the most appropriate preposition in the given sentence.
Let’s sit _________ the shade of this beautiful tree.

Choose the most appropriate determiner for the given sentence.
________of what he said was very sensible.

Substitution

Choose the option that substitutes the given phrase appropriately.
A work of art made by carving

Correct sentence

Choose the option that best transforms the sentence into its Indirect form:
‘What country do you come from?’ said the police officer.

Alternative Phrase

Choose the option that best explains the highlighted expression:
All human beings have feet of clay.

Fill in the blank

Choose an appropriate modal for the given sentence:
My doctor said that I_____ stop smoking as one of my lungs got infected.

Choose the appropriate prepositions for the given sentence:
My parents have been married ________ forty-nine years, but you can still see the love ________ their eyes.

Choose the appropriate conjunction for the given sentence:
______ it rains, the college will declare the holiday.

Antonyms

Choose the appropriate antonym for the highlighted word in the given sentence.
The family protracted their visit by several days.

Tenses

Choose the appropriate tenses to fill in the blanks in the given sentence:
Please _________ a noise. Ritu __________ to sleep.

Synonyms

Choose the appropriate synonym for the highlighted word in the given sentence.
Does he really expect us to believe such a flimsy excuse?