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Ratio and Proportion,  
Indices and Logarithm 
Paper 4: Quantitative Aptitude Chapter 1 
Part I: Ratio & Proportion 
 
Ms. Ritu Gupta, MA (Maths.) 
Page 2


Ratio and Proportion,  
Indices and Logarithm 
Paper 4: Quantitative Aptitude Chapter 1 
Part I: Ratio & Proportion 
 
Ms. Ritu Gupta, MA (Maths.) 
Illustration 1 
19 
Page 3


Ratio and Proportion,  
Indices and Logarithm 
Paper 4: Quantitative Aptitude Chapter 1 
Part I: Ratio & Proportion 
 
Ms. Ritu Gupta, MA (Maths.) 
Illustration 1 
19 
Illustration 2 
The ratio compounded of duplicate ratio of 4:5, triplicate 
ratio of 1:3. sub duplicate ratio of 81:256 and sub triplicate 
ratio of 125:512 is 
(a) 4 : 512 (b) 3 : 32 (c) 1 : 120 (d) None of these 
 
Solution  
The duplicate of ratio of 4 : 5 is  
  4
2 
: 5
2 
 = 16 : 25 
 
The triplicate ratio of 1 : 3 is  
 1
3 
: 3
3 
 = 1 : 27 
 
 
 
20 
Page 4


Ratio and Proportion,  
Indices and Logarithm 
Paper 4: Quantitative Aptitude Chapter 1 
Part I: Ratio & Proportion 
 
Ms. Ritu Gupta, MA (Maths.) 
Illustration 1 
19 
Illustration 2 
The ratio compounded of duplicate ratio of 4:5, triplicate 
ratio of 1:3. sub duplicate ratio of 81:256 and sub triplicate 
ratio of 125:512 is 
(a) 4 : 512 (b) 3 : 32 (c) 1 : 120 (d) None of these 
 
Solution  
The duplicate of ratio of 4 : 5 is  
  4
2 
: 5
2 
 = 16 : 25 
 
The triplicate ratio of 1 : 3 is  
 1
3 
: 3
3 
 = 1 : 27 
 
 
 
20 
Illustration 2- Continued 
21 
Page 5


Ratio and Proportion,  
Indices and Logarithm 
Paper 4: Quantitative Aptitude Chapter 1 
Part I: Ratio & Proportion 
 
Ms. Ritu Gupta, MA (Maths.) 
Illustration 1 
19 
Illustration 2 
The ratio compounded of duplicate ratio of 4:5, triplicate 
ratio of 1:3. sub duplicate ratio of 81:256 and sub triplicate 
ratio of 125:512 is 
(a) 4 : 512 (b) 3 : 32 (c) 1 : 120 (d) None of these 
 
Solution  
The duplicate of ratio of 4 : 5 is  
  4
2 
: 5
2 
 = 16 : 25 
 
The triplicate ratio of 1 : 3 is  
 1
3 
: 3
3 
 = 1 : 27 
 
 
 
20 
Illustration 2- Continued 
21 
Illustration 3 
22 
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FAQs on MCQ - Ratio - Quantitative Aptitude for CA Foundation

1. What is the CA Foundation exam?
Ans. The CA Foundation exam is an entry-level examination conducted by the Institute of Chartered Accountants of India (ICAI) for students who wish to pursue a career in chartered accountancy. It is the first level of examination in the CA course.
2. How can I apply for the CA Foundation exam?
Ans. To apply for the CA Foundation exam, you need to visit the official website of ICAI and fill out the online application form. You will be required to provide personal details, educational qualifications, and other relevant information. The application fee can be paid online through various payment modes.
3. What are the subjects included in the CA Foundation exam?
Ans. The CA Foundation exam consists of four subjects: Principles and Practices of Accounting, Business Laws and Business Correspondence and Reporting, Business Mathematics and Logical Reasoning & Statistics, and Business Economics and Business and Commercial Knowledge.
4. Can I appear for the CA Foundation exam after class 12th?
Ans. Yes, you can appear for the CA Foundation exam after completing class 12th. The exam is open to students from all streams - Science, Commerce, and Arts. However, it is advisable to start preparing early to have a better understanding of the subjects.
5. What is the passing criteria for the CA Foundation exam?
Ans. To pass the CA Foundation exam, you need to secure a minimum of 40% marks in each subject and an aggregate of 50% in all the subjects combined. Additionally, there is a provision of exemption in case you score 60% or more marks in any subject, in which case you are exempted from appearing in that subject in future exams.
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