Ratio & Proportion For SBI Clerk 2024 Prelims: Ratio and Proportion is an important topic in the Quantitative Aptitude section of the SBI Clerk Prelims exam. The Ratio and Proportion contain 2-3 Questions every year in the SBI Clerk prelims exam. Good preparation for this topic will give the candidate a great deal of importance in the exam, as it would help him solve some other quantitative questions like mixture, speed and distance and profit and loss. This article provides a detailed overview of the important ratio and proportion questions for the SBI Clerk 2024 Prelims exam, the most expected questions and tips and tricks to solve ratio and proportion questions quickly.
1. Ratio: The ratio of two quantities ‘a’ and ‘b’, in the same units, is the fraction (a/b) and we write it as a:b.
2. Proportion: The equality of two ratios is called proportion.
If a:b = c:d, we write, a:b::c:d and we say that ‘a’, ‘b’, ‘c’, ‘d’ are in proportion. Here ‘a’ and ‘d’ are called extremes, while ‘b’ and ‘c’ are called mean terms. Also, Product of means = Product of extremes.
Thus, a:b::c:d = (b × c) = (a × d)
3. Third Proportional: If a:b = b:c, then ‘c’ is called the third proportional to ‘a’ and ‘b’.
4. Fourth Proportional: If a:b = c:d, then ‘d’ is called the fourth proportional to ‘a’, ‘b’ and ‘c’.
5. Mean Proportional: Mean proportional between ‘a’ and ‘b’ is √ab.
6. If a > b and ‘x’ is a positive quantity, then (a/b) > {(a + x)/(b + x)} and (a/b) < {(a – x)/(b – x)}
7. If a < b and ‘x’ is a positive quantity, then (a/b) < {(a + x)/(b + x)} and (a/b) > {(a – x)/(b – x)}
8. If (a/b) = (c/d) = (e/f) = k, then:
i. {(a + c + e)/(b + d + f)} = k
ii. {(pa + qc + re)/(pb + qd + rf)} = k, where all ‘p’, ‘q’ and ‘r’ are either positive or negative real numbers.
PracticeMock provides free SBI Clerk Topic Tests on various topics, such as Numbers Series, Simplification and Approx, Equations Comparison, DI, Word Problems, Numbers Series, and Ration and Proportion. Candidates can first click on the link below to access all the Topic Tests and free preparation resources so that they can clear the SBI Clerk Prelims Exam in one go.
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SBI Clerk Previous Year Question Paper | Solve this Paper & know your Preparation Level |
Here are some important questions for the Ratio and Proportion topic. These questions have been compiled from past years’ question papers. You can click the provided link to download ratio and proportion questions with solutions to enhance your preparation.
Question 1: Present ages of Pankaj and Karan are in the ratio 3:4, respectively, and that of Karan and
Reva are in the ratio 8:11, respectively. After 3 years the ratio of the ages of Pankaj and Reva is 7:12,
respectively. Find the present average age of Pankaj, Karan and Reva.
A) 23 years
B) 24 years
C) 25 years
D) 26 years
E) None of these
Question 2: The ratio of the present ages of two friends A and B is 3:4 and eight years back, the ratio of
their age was 23:32. What will be the ratio of their ages after 6 years?
A) 39:30
B) 30:39
C) 20:39
D) 39:20
E) 19:39
Question 3: The ratio of the present ages of A, B and C are 4:5:6 respectively. If the average of the
present ages of all the three is 35 years, find the age of B.
A) 20 years
B) 25 years
C) 40 years
D) 30 years
E) None of these
Question 4: Ratio of present age of Rohan and his father is 7:22, respectively. Before 4 years, the ratio
of their ages was 1:4, respectively. Find the present age of Rohan’s father.
A) 54 years
B) 50 years
C) 46 years
D) 44 years
E) 40 years
Question 5: Mr. Singh distributed Rs. 4260 among his four workers, A, B, C, and D in a ratio 3:4:2:3,
respectively. Find the difference between the amount received by B and C.
A) Rs. 740
B) Rs. 680
C) Rs. 710
D) Rs. 620
E) Rs. 780
Understand the Basics Thoroughly
Try to understand basic concepts of ratio and proportion before getting into tough problems. Practice converting different quantities into ratios and solving for unknowns in some simple proportion equations.
Practice Shortcuts and Tricks
Learn shortcuts and tricks to solve ratio-related questions quickly. For example, use cross-multiplication to solve proportion questions faster.
Work on Speed and Accuracy
Time management is highly essential for SBI Clerk Prelims. So, time yourself solving questions so that you increase your speed without losing out on accuracy.
Word Problems
Ratio-based word problems are a common phenomenon in examinations. Practice translating real-life scenarios into mathematical equations for an effortless solution to these questions.
Related Topics
Since Ratio and Proportion are interlinked with topics like percentages, averages, and mixtures, make sure that you are comfortable with those areas as well.
Ratio & Proportion is an average and easy topic in the Quantitative Aptitude section of the SBI Clerk Prelims exam.
Typically, 1-3 questions on Ratio & Proportion appear in the Quantitative Aptitude section.
PracticeMock Provides the Most important questions in PDF in the article below.
Yes, this document is available for free download.
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