Quant Booster Dose – Ratio and Proportion Questions PDF
Ratio and Proportion Question PDF with Answers for government exams like SSC, Railways, Banking, FCI, CWC, Insurance Exams, UPSC, and other state PCS exams. As we all know in many competitive exams in Quantitative Aptitude/ Numerical Ability subject Ratio and Proportion Questions asked repeatedly, so you cannot ignore the Ratio and Proportion Questions PDF.
As questions are based on previous year papers, there are chances that candidates will find many questions from the Ratio and Proportion Questions with Answers PDF in all competitive Exams. If you check the last 4-5 year’s papers of SSC, Railways and Banking Exams, you will find that many different types of Ratio and Proportion questions are asked. Today we have compiled “450+ Ratio and Proportion Questions PDF with Answers for SSC, Railway & Banking Exam”. You can download Free Ratio and Proportion Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.
Ratio and Proportion Questions PDF for SSC, Railways and Banking Exams
The ultimate way to begin Numerical Ability Preparation is to have the best Quantitative Aptitude practice questions in your PDF Drive. To ease out your preparation and save you a lot of time, At Let’s Study Together (LST) we understand our student’s requirements and keeping it in mind, So LST Team has compiled the Ratio and Proportion Questions PDF for SSC, Railways and Banking Exams with Detailed Answers’. Get some relevant as well as reliable study material that will guide you well throughout your exam preparation. You can download the Ratio and Proportion Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.
Ratio and Proportion Questions with Answers | Download Free PDF
What is Ratio and Proportion?
The definition of ratio and proportion is described here in this section. Both concepts are an important part of Mathematics. In real life also, you may find a lot of examples such as the rate of speed (distance/time) or price (rupees/meter) of a material, etc, where the concept of the ratio is highlighted. Proportion is an equation that defines that the two given ratios are equivalent to each other. 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 500km for 5 hours. Such as 100km/hr = 500km/5hrs.
Ratios are used for comparing two quantities of an identical style whereas when two or more such ratios are identical, they are declared to be in proportion.
Ratios are used when we are required to express one number as a fraction of another. If we have two quantities, say x and y, then the ratio of x to y is calculated as xyxy and is written as x:yx:y. The first term of the ratio is called antecedent and the second term is called the consequent.
Compound ratio is the ratio obtained if two or more ratios are given and the antecedent of one is multiplied by the antecedent of others and consequents are multiplied by the consequences of others. Compounded ratio of the ratios (a:b),(c:d),(e:f)willbe(ace:bdf)(a:b),(c:d),(e:f)willbe(ace:bdf)
Proportion is an equation that specifies that the two given ratios are identical to one another. We can say that the proportion states the equivalency of the two fractions or the ratios i.e Equivalent Ratios. Proportions are represented by the symbol (::)(::) or equal to (=)(=).
That is the proportion is signified by double colons. For example, ratio 6:86:8 is the same as ratio 3:43:4. This can be written as 6:8::3:46:8::3:4.
Product of means = Product of extremes
Thus, a:b∷c:d⇔(b×c)=(a×d)
Tips and Tricks on Ratio and Proportion
Students can find different tips and tricks for solving questions related to ratio and proportion below:
Tip 1: In ratio, if both the antecedent and the consequent are multiplied or divided by the same number (except 0) then the ratio will remain the same.
Tip 2: If a proportion is such as a:x::x:b then x is called the mean proportional or second proportional of a and b. And if a proportion is such that a:b::b:x then x is called the third proportional of a and b.
Ratio and proportion formula
The formula for ratio and proportion is integral for solving the ratio and proportion questions. The following is the formula used for the calculation:
Formula for ratio
A : B => a / b
The ratio is denoted by the dividend symbol when two quantities, a and b, are compared.
- The first step is determining whether the ratio is presented in part-to-part or part-to-whole.
- After that, calculate the parts or whole as per its requirement and put the values into the ratio.
- If necessary, simplify the values until it comes to their lowest value. For example, if the initial ratio is 10: 30, it can be further simplified as 1 : 3, where the ratio is 1 part for every 3 parts.
Formula for proportion
a : b :: c : d => a/b = c /d
Comparing or equating two different ratios – the above equation a: b and c : d where the proportion is shown through a double dividend (:: ) or equal sign.
- The first step toward finding the proportion is writing the equation and putting the equivalent ratios.
- Suppose the numeric part of one ratio is the multiple of the other ratio corresponding to it in the proportion equation. It is easy to calculate the quantity by multiplying the other part of the given ratio by the same number.
- However, if there is no relation between the two ratios, it can be solved with the help of an unknown value by isolating the variable presenting it.
Properties of Ratio and Proportion
The ratio consists of values compared by a dividend. The number on the left side is the antecedent, and the right side is the consequent. When multiplied or divided by the same non-zero number, the ratio remains the same. Let’s assume that in ratio and proportion, two ratios a/b and c/d, are equal, represented by the following:
(a) Invertendo represented by a/b = c/d => b/a = d/c
(b) Alternendo represented by a/b = c/d => a/c = b/d
(c ) Componendo represented by a/b = c/d => (a + b)/b = (c+d)/d
(d) Dividendo represented by a/b = c/d => (a – b)/ b = (c – d)/ d
- In the case of proportion, when two ratios are equal, it is proportional to each other. It is presented as a product of extremes equal to the product of means.
a: b:: c : d, where a and d are the extremes and b and c are the means.
- When a, b, c and d are placed in continued proportion, it is presented as a:b = b:c = c:d
- For example, in the equation a:b = b:c, b is the mean proportion. Also, b2 = ac.
- In an equation a:b = b:c, c is the considered third proportion to the numbers a and b
- However, if there is a ratio and proportion a:b = c:d, then d is the fourth proportional to the numbers a, b and c.
Ratio and Proportion Practice Questions with Answers
1. The populations of two villages are 1525 and 2600 respectively. If the ratio of male to female population in the first village is 27 : 34 and the ratio of male to female population in the second village is 6 : 7, then what is the ratio of male to female population of these two villages taken together?
(a) 33/41
(b) 85/82
(c) 71/90
(d) 5/6
(e) None of these
2 . A sum of money is to be distributed among A, B, C and D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 2,000 more than D, what is B’s share?
(a) Rs. 2,000
(b) Rs. 4,000
(c) Rs. 6,000
(d) Rs. 8,000
(e) None of these
3. In a school, students using school bus, bike and bicycle for transport are in the proportion 6 ∶ 3 ∶ 1. If the total strength of the school is 1200, find the number of students who use bicycle for transport. (Each student uses only one of the given 3 modes of transport)
(a) 120
(b) 180
(c) 240
(d) 100
(e) None of these
4. The ratio of time taken by A and B to cover a certain distance is 17 ∶ 19. Find the ratio of their respective speed.
(a) 11 ∶ 15
(b) 15 ∶ 19
(c) 17 ∶ 15
(d) 19 ∶ 17
(e) None of these
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5. Find the fourth proportion to 55, 60 and 33.
(a) 36
(b) 24
(c) 28
(d) 30
(e) None of these
6. Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:
(a) 7 : 6
(b) 3 : 2
(c) 7 : 8
(d) 8 : 7
(e) None of these
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7. The ratio of two numbers is 2 : 3 and their product is 726. The smallest number between the two numbers is:
(a) 22
(b) 55
(c) 33
(d) 11
(e) None of these
8. If t : u = 7 : 4, then what is the value of (7t + 4u) : (7t – 4u)?
(a) 44 : 23
(b) 23 : 45
(c) 65 : 33
(d) 46 : 25
(e) None of these
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9. Rs. 100 is divided in such a way between A and B such that the rupees of A : the rupees of B = 9 : 11. What are the amount of rupees of A and B?
(a) Rs. 35 and Rs. 65
(b) Rs. 45 and Rs. 55
(c) Rs. 43 and Rs. 57
(d) Rs. 39 and Rs. 61
(e) None of these
10. u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?
(a) 98
(b) 77
(c) 63
(d) 49
(e) None of these
All the Ratio and Proportion questions are formulated as per the level of Bank PO exams. The Ratio and Proportion questions in this PDF has a moderate and hard level of difficulty. All the candidates who are preparing for banking exams are advised to practice all these important questions to score well in the exam. To remove any doubt or difficulty in any topic, go through the study notes of each topic from the links given above.
Why Quantitative Aptitude Ratio and Proportion Questions PDF is Important for Exams?
- All the questions prepare by Exams experts.
- The practice questions covered are across the levels i.e. Easy, Moderate, and Difficult.
- Provides a detailed approach to the solution of each question.
- Focuses on all the new patterns and advanced-level type questions.
- Ratio and Proportion Questions PDF boosts confidence and reduces pre-exam jitters by regularly attempting a variety of questions and tackling the difficulty level expected in the final exam.
This Quant Booster Dose Ratio and Proportion Questions PDF is useful for the upcoming Banking and Insurance exams i.e. IBPS PO, SBI PO, Clerk, IBPS RRB PO & Clerk, RBI Assistant, RBI Grade B, NABARD, LIC AAO, SSC (CGL, CHSL, MTS, CPO, and Constable), Railway RRB (NTPC, Group D, JE, ALP) & Other Government Exams.
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Here we are providing you with New Pattern Quantitative Aptitude Quizzes (Ratio and Proportion Questions) for SSC, Railway & Banking Exam, based on the latest pattern of your daily practice.
| Practice Set- 1 | Practice Set- 2 | Practice Set- 3 |
| Practice Set- 4 | Practice Set- 5 | Practice Set- 6 |
| Practice Set- 7 | Practice Set- 8 | Practice Set- 9 |
| Practice Set- 10 | More…… | Complete Quant Study Material |
We hope the given Quantitative Aptitude Topic-wise Questions and Answers PDF will be helpful for their competitive exams like bank exams and other recruitment board exams. So candidates can utilize our Quantitative Aptitude Topic-wise PDF Download for their effective preparation to score more marks in upcoming competitive exams.
8700+ Quantitative Aptitude Topic wise Questions and Answers – Download Free PDF
