CAT Exam  >  CAT Tests  >  Practice Test: Ratio & Proportion- 2 - CAT MCQ

Practice Test: Ratio & Proportion- 2 - CAT MCQ


Test Description

10 Questions MCQ Test - Practice Test: Ratio & Proportion- 2

Practice Test: Ratio & Proportion- 2 for CAT 2024 is part of CAT preparation. The Practice Test: Ratio & Proportion- 2 questions and answers have been prepared according to the CAT exam syllabus.The Practice Test: Ratio & Proportion- 2 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Ratio & Proportion- 2 below.
Solutions of Practice Test: Ratio & Proportion- 2 questions in English are available as part of our course for CAT & Practice Test: Ratio & Proportion- 2 solutions in Hindi for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Practice Test: Ratio & Proportion- 2 | 10 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study for CAT Exam | Download free PDF with solutions
Practice Test: Ratio & Proportion- 2 - Question 1

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 1

Practice Test: Ratio & Proportion- 2 - Question 2

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the 'salary of each' one of them is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's present salary?

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 2

∴ Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38000.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Practice Test: Ratio & Proportion- 2 - Question 3

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 3

Practice Test: Ratio & Proportion- 2 - Question 4

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 4

Practice Test: Ratio & Proportion- 2 - Question 5

In a garrison of 3600 men, the provisions were sufficient for 20 days at the rate of 1.5 kg per man per day. If x more men joined, the provisions would be sufficient for 12 days at the rate of 2 kg per man per day. Find x.

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 5

Let x be the number of new men joined the garrison,
The total quantity of food is = 3600(20) (1.5) kg ----------1
Now the available food will be consumed by (3600 + x) men
(3600 + x) (12) (2) kg  --------------2
1 = 2
Solving both the equations
3600(20) (1.5) = (3600 + x) (12) (2)
108000 = 86400 + 24x
21600 = 24x
X = 900
900 more men joined the garrison.

Practice Test: Ratio & Proportion- 2 - Question 6

A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 6

Considering the three kinds of tea are A, B, and C.

The price of kind A = Rs 800 per kg.

The price of kind B = Rs 500 per kg.

The price of kind C = Rs 300 per kg.

They were mixed in the ratio of 2 : 3: 5.

1/6 of the total mixture is sold for Rs 700 per kg.

Assuming the ratio of mixture to A = 12kg, B = 18kg, C =30 kg.

The total cost price is 800 * 12 + 500 * 18 + 300 * 30 = Rs 27600.

Selling 1/6 which is 10kg for Rs 700/kg the revenue earned is Rs 7000.

In order to have an overall profit of 50 percent on Rs 27600.

Thes selling price of the 60 kg is Rs 27600 * 1.5 = Rs 41400.

Hence he must sell the remaining 50 kg mixture for Rs 41400 – Rs 7000 = 34400.

Hence the price per kg is Rs 34400/50 = Rs 688

Practice Test: Ratio & Proportion- 2 - Question 7

Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 7

Initially let’s consider A and B as one component

The volume of the mixture is doubled by adding A(60% alcohol) i.e they are mixed in 1:1 ratio and the resultant mixture has 72% alcohol.

Let the percentage of alcohol in component 1 be ‘x’.

Using allegations , 

Percenage of alcohol in A = 60% ⇒ Let’s percentage of alcohol in B = x%

The resultant mixture has 84% alcohol. ratio = 1:3

Using allegations, 

⇒ x= 92%

Practice Test: Ratio & Proportion- 2 - Question 8

An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A. B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg. of the metal C is

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 8

Let the volume of Metals A,B,C we 3x, 4x, 7x

Ratio weights of given volume be 5y,2y,6y

∴ 15xy + 8xy + 42xy = 130 ⇒ 65xy = 130 ⇒ xy = 2.

∴ `The weight, in kg. of the metal C is 42xy = 84.

Practice Test: Ratio & Proportion- 2 - Question 9

Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250?

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 9

Assuming the investment of Amala, Bina, and Gouri be 300x, 400x and 500x, hence the interest incomes will be

300x × 6/100 = 18x, 400x × 5/100 = 20x and 500x × 4/100 = 20x

Given, Bina’s interest income exceeds Amala by 20x - 18x = 2x = 250  ⇒ x = 125

Now, total interest income = 18x + 20x + 20x = 58x = 58 × 125 = 7250

Practice Test: Ratio & Proportion- 2 - Question 10

In an examination, Rama’s score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali’s score exceeded Rama’s score by

Detailed Solution for Practice Test: Ratio & Proportion- 2 - Question 10

Let the scores of Rama, Anjali and Mohan be r, a, m.

It is given that Rama’s score was one-twelfth of the sum of the scores of Mohan and Anjali

The scores of Rama, Anjali and Mohan after review = r + 6, a + 6, m + 6

a + 6 : m + 6 : r + 6 = 11 : 10 : 3

Let a + 6 = 11x ⇒ a= 11x - 6

m + 6 = 10x ⇒ m = 10x - 6

r + 6 = 3x ⇒ r = 3x - 6
Substituting these values in equation (1), we get

12(3x - 6) = 21x - 12

x = 4

Anjali’s score exceeds Rama’s score by (a - r) = 8x = 32

Information about Practice Test: Ratio & Proportion- 2 Page
In this test you can find the Exam questions for Practice Test: Ratio & Proportion- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Practice Test: Ratio & Proportion- 2, EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

Download as PDF

Top Courses for CAT