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Mathematical Skills | Mixtures and Alligations

 Q. No. 1: Two vessels contain a mixture of water and lime. In the first vessel the volume of lime juice is 2/3 rd that of water. In the second vessel the volume of water is thrice that the lime juice. These two are mixed in a third vessel of 14 litres capacity, so that the volume of water is twice that of lime juice. What is the ratio of the mixture taken from the two vessels? A : 5:4 B : 3:2 C : 7:5 D : 4:3 Solution
 Q. No. 2: Sumit works as a state contractor for PWD and supplies bitumen mix for road construction. He hastwo varieties of bituman, one at Rs. 42 per kg and the other at Rs. 25 per kg. How many kg of firstvariety must Sumit mix with 25 kg of second variety,. So that he may, on selling the mixture at 40kg, gain 25% on the outlay? A : 30 B : 20 C : 25 D : None of these Solution
 Q. No. 3: Ashok a master adulterator cum grosser sells haldi powder (turmeric powder), which contains fivepercent saw dust. What quantity of pure haldi should be added to two kilos of haldi (containing fivepercent saw dust) so that the proportion of saw dust becomes four percent? A : 1 kg B : 23 kgs C : 0.5 kg D : 2 kg Solution
 Q. No. 4: In a mixture of 35 litre, the ratio of petrol to alcohol is 4:1. If 7L alcohol is added to the mixture, the ratio of petrol to alcohol changes to a new ratio. If we want the ratio of petrol to alcohol to change back to the original value, how much petrol is to be added now? A : 35L B : 28L C : 21L D : 32L Solution
 Q. No. 5: A girl has 1L of solution that contains orange juice and water in the ratio 3:1. She adds 250ml of 3:2 solution of orange juice and water to it and then use 250ml of the combined mixture to make complete juice. How much of pure juice is she left with? A : 1000 ml B : 900 ml C : 750 ml D : 720 ml Solution
 Q. No. 6: Several litres of Water were drawn from a 54 L vessel full of water and an equal amount of acid is added. Again the same volume of the mixture was drawn off and replaced by acid. As a result, the vessel contained 24L of pure water. How much water was drawn off initially? A : 12L B : 16L C : 18L D : 21L Solution
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