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Earn 100

The duration of a railway journey varies as the distance and inversely as the velocity, while the velocity varies directly as the square root of the quantity of coal used, and inversely as the number of carriages in the train. In a journey of 50 km in half an hour with 18 carriages, 100 kg of coal is required. How much coal will be consumed in a journey of 42 km in 28 minutes with 16 carriages?

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Important Questions on Ratio, Proportion and Variation

MEDIUM
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 3
The mass of a circular disc varies as the squares of the radius when the thickness remains the same, and also varies as the thickness when the radius remains the same. Two discs have their thicknesses in the ratio 16:3, find the ratio of the radii, if the mass of the first is thrice that of the second.
MEDIUM
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 4
If p and q are positive integers, then 2 always lies between _____.
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 5
The cost of digging a pit was ₹2694. How much will it approximately cost, if the wages of workmen per day increased by 18 times the former wages and the length of the working day increased by 120 times the former period?
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 6
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?
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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:
EASY
CAT
IMPORTANT
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) = ?
EASY
CAT
IMPORTANT
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: