Ratio and Proportion CAT Questions are part of the Arithmetic section. Ratio and Proportion are an important topic of the CAT exam. The aspirants can expect 2-3 Ratio and Proportion Questions for CAT, so a basic understanding and conceptual clarity is important to solve these questions efficiently. Check all the important details about Ratio and Proportion CAT Questions, concepts, important formulae, how to solve, and more.
What are Ratio and Proportion CAT Questions?
To understand the CAT Ratio and Proportion Questions, it is important to understand what is Ratio? and is Ratio and Proportion the same?
As per the mathematical concepts, ratio defines the correlation between two quantities, like A: B, in which B≠0. For example, the ratio of 3:6 is equal to 1:2. However, the statement is known as Proportion, and it is seen to be in direct Proportion.
Note the below example for conceptual clarity on what ratio is.
For example, 4/5 is a ratio, and the proportion statement is 20/25 =4/5. If we find the proportional statement, we get the following things:
20/25 = 4/5
Therefore: 20 x 5 = 25 x 4, i.e., 100 = 100
In comparison, Proportion states the equality of 2 fractions in ratio.
It means that the Proportion is an equation that defines whether the two given ratios are equal or not. For example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 200km in 2 hours. Such as 100km/hr = 200km/2hrs.
So, the basic thing is that Ratio and Proportion CAT Questions are the two faces of a coin. If the value of the two ratios is the same, then it will be sailed to be in Proportion.
Ratio and Proportion CAT Questions - Important Formulae
Ratio and Proportion are two mathematical entities that assist in the comparison of numbers. Both are interrelated, and you must have conceptual clarity for the important formulae to accurately solve Ratio and Proportion CAT Questions.
Note the below sections to get an idea about the ratio and proportion formulae for the CAT Exam.
Assume that you have two numbers, and you have to find the ratio of these two numbers. Then, as the definition of ratio, it will be A: B=A/B (Here, A and B are two numbers, and B is not equal to 0).
'A' is the first Term or antecedent, and 'B' is called the second Term or consequent.
For example, the ratio 2:3 is represented as ⅔ (where 2 is antecedent and 3 is consequent)
Assume that there are two ratios, A: B and C: D. Here, 'B' and 'C' are known as mean Terms, while 'A' and 'D' are called extreme terms.
For example: Let us consider one more example of several students in a classroom. Our first ratio of the number of girls to boys is 4:7, and that of the other is 3:5, then the Proportion can be written as:
4:7 :: 3:5 or 4/7 = 3/5
Here, 4 & 5 are the extremes, while 7 & 3 are the means.
☛ Check the detailed CAT Syllabus for a better understanding
CAT Ratio and Proportion Questions PDF
Click on the link below to download the Ratio and Proportion CAT Questions PDF. You must practise these questions as many times as possible to gain better conceptual clarity.
☛ Download Ratio and Proportions Questions for CAT PDF
Ratio and Proportion CAT Questions Sample
Check the below questions to understand the difficulty level CAT questions on Ratio and Proportion.
Example 1: The average marks of Ravi in 10 papers are 80. If the lowest and highest scores in the exam are not considered, then the average is 81. If the highest score is 92, what is Ravi's lowest score?
- Cannot be determined
Answer: Correct answer is 60
Total marks without lowest and highest marks=81x8=648
So, the summation between lowest and highest marks= 800-648=152
Now the highest mark is 92, so the lowest marks will be: 152-92= 60
Example 2: One bacterium split into eight bacteria of the next generation. But due to environmental condition, only 50% survives, and the remaining 50% dies after producing the next generation. If the 7th generation number is 4096 million, then find the number for the first generation.
- 2 million
- 4 million
- 1 million
- 8 million
Answer: The correct answer is 1 million
Suppose the initial number of bacteria= x
So, in the 2nd generation, the number of bacteria=8x/2=4x
In the 3rd generation the number of bacteria= 16x
Hence, the value of x=1 million
☛ Related Links:
Important Study Notes to Ace the CAT QA Section
Important Topic-Wise Practice Tests
|Percentage & its applications|
|Basics of Quants | Arithmetic Basic | Tricks of Percentages|
|Geometry & Mensuration|
How to Prepare Ratio and Proportion Questions for CAT?
The Ratio and Proportion CAT Questions can be solved easily and quickly using simple tricks and tips. In the following, our experts have listed shortcut tricks to solve CAT Ratio and Proportion Questions accurately.
- If A: B and C : D, then it can be solved as (A*C)/(B*D).
- If A/B=C/D=E/F, then each of these ratios is equal to (A+C+E) ⁄(B+D+F)
- If P/Q=S/T, then Q/P=T/S (Invertendo)
- If A/B=C/D, then A/C=B/D (Alterenando)
- If A/B=C/D, then (A+B)/B=(C+D)/D (Componendo)
- If P/Q=S/T, then (P-Q)/Q=(S-T)/T (Dividendo)
- If C/D=A/B, then (C+D)/(C-D)=(A+B)/(A-B) (Componendo and Dividendo)
You must be well-versed with all the basic concepts of Ratio and Proportion CAT Questions to solve its related questions accurately. Note the important formulas and practice CAT Previous Year Question Paper daily to check your understanding level for CAT Ratio and Proportion Questions. The aspirants can also attend BYJU'S Exam Prep CAT Online Coaching classes to clear their doubts on Ratio and Proportion.
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