EASY
CAT
IMPORTANT
Earn 100

The distance of the horizon at sea varies as the square root of the height of the eye above sea-level. When the distance is km, the height of the eye is metres. Find, in kilometres, the distance when the height of the eye is metres.
(a) km
(b) km
(c) km
(d) km

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Important Questions on Ratio, Proportion and Variation
EASY
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IMPORTANT
A mixture of cement, sand and gravel in the ratio of by volume is required. A person wishes to measure out quantities by weight. He finds that the weight of one cubic foot of cement is kg, of sand kg and gravel kg. What should be the ratio of cement, sand and gravel by weight in order to give a proper mixture?

EASY
CAT
IMPORTANT
In , Raveendra was allotted shares of Sun Systems Ltd in the initial public offer, at the face value of per share. In , Sun Systems declared a bonus at the rate of . In , the company again declared a bonus at the rate of . In , the company declared a dividend of . What is the ratio of the dividend and the initial investment of Raveendra in ?

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IMPORTANT
The ratio of metal '' and 'metal '' in Alloy 'A' is . In Alloy 'B' same metals are mixed in the ratio. If kg of Alloy 'B' and kg of Alloy 'A' are mixed then find out the ratio of metal ' and 'metal in the new Alloy -?

EASY
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IMPORTANT
Karam Purchased four varieties of paint at the rate of litres per 0.20 litres per ,litres perand litre per If he mixes all the four varieties of paints in the ratio of in the given order, then find the price in /litre) at which Karam should sell the mixture to make a profit of on this entire stock

EASY
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IMPORTANT
An alloy of gold and silver is taken in the ratio of , and another alloy of the same metals is taken in the ratio of . How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio ?

EASY
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IMPORTANT
There are two quantities of oil, with the masses differing by kg. The same quantity of heat, equal to kcal, was imparted to each mass, and the larger mass of oil was found to be degrees cooler than the smaller mass. Find the mass of oil in each of the two quantities.

EASY
CAT
IMPORTANT
There are two alloys of gold and silver. In the first alloy, there is twice as much gold as silver, and in the second alloy there is times less gold than silver.How many times more must we take of the second alloy than the first in order to obtain a new alloy in which there would be twice as much silver as gold?

MEDIUM
CAT
IMPORTANT
Calculate the weight and the percentage of zinc in the zinc-copper alloy being given that the latter's alloy with kg of pure zinc contains percent of zinc and with kg of zinc alloy contains of zinc.
