UPSC CDS/OTA

Ratio and Proportion

Mathematics

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Ratio and Proportion

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Questions

30

Time

30 min

Marks

30

Solutions

All inline

Q1Divide Rs.5000 among A, B, C and D so that A and B together get 3/7th of what C and D get together, C gets 1.5 times of what B gets and D gets 4/3 times as much as (c) Now the value of what B gets isMediumSolve →Q2MediumSolve →Q3If P varies as R, and Q varies as R, then which of the following is false:MediumSolve →Q4P and Q are two alloys of aluminium and brass prepared by mixing metals in proportions 7 : 2 and 7 : 11, respectively. If equal quantities of the two alloys are melted to form a third alloy R, the proportion of aluminium and brass in R will be :MediumSolve →Q5p, q, r enter into a partnership. P contributes one-third of the whole capital while q contributes as much as p and r together contribute. If the profit at the end of the year is Rs. 1,68,000, how much would each receive?MediumSolve →Q6A number z lies between 0 and 1. Which of the following is true?MediumSolve →Q7A cow takes 5 leaps for every 4 leaps of a goat, but 3 leaps of the goat are equal to 4 leaps of the cow. What is the ratio of the speed of the cow to that of the goat?MediumSolve →Q8A dishonest shopkeeper mixed 1 litre of water for every 3 litres of petrol and thus made up 36 litres of petrol. If he now adds 15 litres of petrol to the mixture, find the ratio of petrol and water in the new mixture.MediumSolve →Q9Rs. 3000 is distributed among p, q and r such that p gets 2/3rdof what q and r together get and r gets ½ of what p and q together get. Find q’s share.MediumSolve →Q10A Flask contains a mixture of 98 litres of alcohol and water in the proportion 5:2. How much water (in liters) must be added to it so that the ratio of alcohol to water may be 7:5?MediumSolve →

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