Explore Exams
Login Signup
Sign in Open App
CAT Exam  >  CAT Test  >  Level-wise Tests  >  Test Level 2: Ratio & Proportion - 1 - CAT MCQ

Test Level 2: Ratio & Proportion - 1 CAT MCQs solutions - Free


MCQ Practice Test & Solutions: Test Level 2: Ratio & Proportion - 1 (10 Questions)

You can prepare effectively for CAT Level-wise Tests for CAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test Level 2: Ratio & Proportion - 1". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test Level 2: Ratio & Proportion - 1 - Question 1
Save

A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?

Detailed Solution: Question 1

Assume the weight of the heaviest piece = 5x
Then, the weight of the lightest piece = x
So, the weight of medium weighted piece = x + 18
∴ (5x) + (x + 18) + (x) = 60
⇒ x = 6
So, the weight of the heaviest piece = 5 × 6 = 30 grams

Test Level 2: Ratio & Proportion - 1 - Question 2
Save

If A gives half of his candies to B, then B will have 30% more candies than what he had earlier. What is the ratio of candies with A and B?

Detailed Solution: Question 2

Assume A has x candies and B has y candies.
If he gives half to B, i.e x/2 then B will have 1.3y candies.
Thus,
0.3y = x/2
$\frac{x}{y}=0.6=\frac{6}{10}=\frac{3}{5}$

Clear all your doubts with EduRev
Test Level 2: Ratio & Proportion - 1 - Question 3
Save

There are six bottles of same capacity that are filled with water. The quantities of water in all the bottles are in the ratio 1 : 2 : 3 : 4 : 5 : 6. The water in each of the bottles is poured into an empty jar whose capacity is half the total capacity of the six bottles. The jar is filled up completely. How many bottles were at least 70% filled with water initially?

Detailed Solution: Question 3

Let the amounts of water in the bottles be V, 2V, 3V, 4V, 5V and 6V.
So, total water poured = 21V
Let the capacity of each bottle be C.
So, capacity of six bottles = 6C
Capacity of jar = 3C
As the jar is completely filled, we have
21V = 3C
Or 7V = C
Now, 70% of 7V = 4.9V
Thus, there are two bottles which were at least 70% filled with water.
Hence, answer option 3 is correct.

Test Level 2: Ratio & Proportion - 1 - Question 4
Save

Set A contains 10 consecutive numbers starting from x and set B contains 8 consecutive even numbers starting from y. The ratio of the average of set A elements to that of set B elements is 9 : 14. What is the ratio of x to y?

Detailed Solution: Question 4

Average of set A elements = x + 4.5
Average of set B elements = y + 7
So,  = 9/14
⇒ 14x + 63 = 9y + 63
⇒ x/y = 9/14

Test Level 2: Ratio & Proportion - 1 - Question 5
Save

A is working and B is the sleeping partner in a business. A invests Rs. 12,000 and B invests Rs. 20,000. A receives 10% of the profit for managing. The rest is divided in the ratio of their capitals. Out of a total profit of Rs. 9600, what will be the amount received by A? 

Detailed Solution: Question 5

A gets 10% of the profit for managing the business = 10% of 9600 = Rs. 960
Profit remaining = 9600 - 960 = Rs. 8640
Ratio in which they will share the remaining profit = 12 : 20 = 3 : 5
A's share = 960 + (3/8) 8640 = Rs. 4200

Test Level 2: Ratio & Proportion - 1 - Question 6
Save

The sum of three numbers is 98. The ratio of the first two numbers is 2 : 3 and that of the last two numbers is 5 : 8. Find the 2nd number.

Detailed Solution: Question 6

Let the numbers be x, y and z.
x + y + z = 98
Also, x : y = 2 : 3 and y : z = 5 : 8
Therefore, x : y : z = 10 : 15 : 24
Let x = 10k, y = 15k and z = 24k
Then, 10k + 15k + 24k = 98 
⇒ k = 2
The numbers are 20, 30 and 48.
Hence, second number is 30.

Test Level 2: Ratio & Proportion - 1 - Question 7
Save

If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is

Detailed Solution: Question 7

Let (a + b) = 6k, (b + c) = 7k and (c + a) = 8k.
Then, 2 (a + b + c) = 21k
2 × 14 = 21k
k = 28/21 = 4/3
(a + b) = (6 × 4/3) = 8
c = (a + b + c) - (a + b) = (14 - 8) = 6

Test Level 2: Ratio & Proportion - 1 - Question 8
Save

A purse contains notes of Re. 1, Rs. 10 and Rs. 20 only. The number of notes of Re. 1 is seven times the number of notes of Rs. 10 and the number of notes of Rs. 20 is 4 times the number of notes of Rs. 10. How much money is there in the purse if there are total twelve notes of Rs. 20?

Detailed Solution: Question 8

Number of notes of Rs. 20 = 12
Number of notes of Rs. 10 = 12/4 = 3
Number of notes of Re. 1 = 7 × 3 = 21
Total amount = 12 × 20 + 3 × 10 + 1 × 21 = 240 + 30 + 21 = Rs. 291

Test Level 2: Ratio & Proportion - 1 - Question 9
Save

A 60 year old father in his will divides his money among his three sons in the ratio of their ages. The first (eldest) son is 8 years older than the third son. The second son is 4 years younger to the first son. The third son's age is 1/3rd of his father's age. If the father had Rs. 12,00,000, the share of second son is:

Detailed Solution: Question 9

The age of 3rd son = 1/3 × 60 = 20 yrs
Age of 1st son = 20 + 8 = 28 yrs
Age of 2nd son = 28 - 4 = 24 years
Ratio of their ages = 28 : 24 : 20 = 7 : 6 : 5
As per question, 7x + 6x + 5x = 12,00,000, i.e., 18x = 12,00,000
So, x = 66,666.66
Share of 2nd son = 6x = 6 × 66,666.66 = Rs. 4,00,000

Test Level 2: Ratio & Proportion - 1 - Question 10
Save

Brian and Sam are two brothers who work at a multinational company in the New York City. The ratio of monthly incomes of Brian and Sam is 3 : 4 and the ratio of their monthly savings is 2 : 3, respectively. It is known that Brian spends two-thirds of his income each month. Find the respective ratio of their monthly expenditures.

Detailed Solution: Question 10

It is known that expenditure of Brian is 2rd/3 of his income.
Let Brian`s monthly income be $36.
Then, his expenditure will be $24.
Total savings of Brian = $12
Ratio of savings of Brian to that of Sam is given as 2 : 3.
Hence, savings of Sam = $18
Now, ratio of incomes = Brian : Sam = 3 : 4
As Brian`s income = $36, then income of Sam will be $48.
So, ratio of expenditure of Brian to that of Sam = 24 : 30 or 4 : 5

5 docs|246 tests
Join Course
Information about Test Level 2: Ratio & Proportion - 1 Page
In this test you can find the Exam questions for Test Level 2: Ratio & Proportion - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test Level 2: Ratio & Proportion - 1, EduRev gives you an ample number of Online tests for practice
Download as PDF
;

About this CAT Practice Test

This test contains 10 MCQs on Test Level 2: Ratio & Proportion - 1 with detailed solutions for each question. It is part of the Level-wise Tests for CAT course on EduRev, designed to align with the current CAT syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more CAT Study Resources

If you found this Test Level 2: Ratio & Proportion - 1 MCQ Test helpful, you can further enhance your CAT preparation with in-depth courses on EduRev, for all the subjects and topics available in Level-wise Tests for CAT course. The course offers:
  • Video Lectures: covering all the topics of Level-wise Tests for CAT
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for CAT preparation
  • MCQ Test: variety of questions as per the pattern of CAT exam
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup