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A vessel contains p litres of wine and another vessel contains q litresof water. r litres are taken out of each vessel and transferred to the other if r × (p + q) = pq. If A and B are respective values of amount of wine contained in the respective containers after this operation, what can be said about the relationship between A and B?

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Important Questions on Ratio, Proportion and Variation

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 7
If sum of the roots and the product of the roots of a quadratic equation S are in the ratio of 3:1, then which of the following is true?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 8
The incomes of Rahul, Saurav, and Sachin are in the ratio of 4: 5: 6 respectively, and their spending are in the ratio of  6: 7: 8 respectively. If Rahul saves one fourth his income, then the savings of Rahul, Saurav, and Sachin are in the ratio:
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 9
If a: b = c:d, and e:f=g:h, then (ae + bf): (ae - bf) = ?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 10
X is an alloy of A and B. Y is an alloy containing 80% of A, 4 % of Band 16% of C. A fused mass of X  Y is found to contain 74% of A, 16% of B, and 10% of C. The ratio of A to B in X is:
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 11
Shatabdi Express without its rake can go 36 km in an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagons attached. If it is known that with four wagons its speed is 24 km/h, the greatest number of wagons with which the engine can just move is
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 12
If p varies as q then p2+q2 varies as
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 13
If f(x) =x+1x-1 ,then the ratio of x to f(y) where y = f(x) is
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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 14
Sahil employs 200 men to build a bund. They finish 56 of the work in 10 weeks. Because of some natural calamity not only does the work remain suspended for 4 weeks but also half of the work already done is washed away. After the calamity, when the work is resumed, only 140 men turn up. The total time in which the contractor is able to complete the work assuming that there are no further disruptions in the schedule is