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Ratio & Proportion CAT Previous Year Questions with Answer PDF

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:The arithmetic mean of scores of 25 students in an examination is 50. Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being 30, then the maximum possible score of the
toppers is

[2021]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is    

[2020]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

[2020]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is. [2020]
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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?

[2020]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?

[2020]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to
[2019]
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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself: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

[2019]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is

[2019]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

[2019]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself: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 ₹ 250?

[2019]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is

[2019]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio.

[2018]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?

[2018]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:A stall sells popcorn and chips in packets of three sizes : large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio

[2017]

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Question for CAT Previous Year Questions: Ratio & Proportion
Try yourself:Suppose, C1, C2, C3, C4 and C5 are five companies. The profits made by C1, C2 and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of ₹19 crore more than C1, then the total profit (in ₹) made by all five companies is

[2017]

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The document Ratio & Proportion CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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FAQs on Ratio & Proportion CAT Previous Year Questions with Answer PDF

1. What is the basic concept of ratio and proportion?
Ans. Ratio is the quantitative relationship between two or more quantities, whereas proportion is the equality of two ratios. In other words, ratio compares quantities, while proportion compares ratios.
2. How do you simplify ratios?
Ans. To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). This will result in the simplest form of the ratio.
3. How can ratios be used in real-life situations?
Ans. Ratios are used in various real-life situations, such as cooking recipes, financial planning, and map scaling. For example, a cooking recipe may require a ratio of 2 cups of flour to 1 cup of sugar.
4. What is the difference between direct and inverse proportion?
Ans. In direct proportion, two quantities increase or decrease together at the same ratio. For example, as the number of workers increases, the amount of work completed also increases. In inverse proportion, as one quantity increases, the other quantity decreases at the same ratio. For example, the time taken to complete a task is inversely proportional to the number of workers working on it.
5. How can you solve ratio and proportion problems?
Ans. To solve ratio and proportion problems, first identify the given ratios or proportions. Then, cross-multiply and solve the resulting equation to find the unknown quantity. It is important to ensure that the units of the quantities being compared are consistent throughout the problem.
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