UPSC Insta–DART (Daily Aptitude and Reasoning Test) 23 Aug 2024

Vessel-A contains 160 liters of mixture of petrol and kerosene oil in the ratio 3:1 and vessel-B contains mixture of diesel, petrol and kerosene oil in the ratio 1:3:5. Mixture of both vessels are mixed in another vessel-C and quantity of petrol in vessel-C is 20 liters more than the quantity of kerosene oil in vessel-C, then find the capacity of vessel B.

There are three vessels P,Q and R. vessel P and Q filled with mixture of milk and water in the ratio of 5:4 and 5:3 respectively.25% of mixture from vessel P taken out and mixed in vessel R, which contains 90L pure milk. If in resulting mixture milk is 250% more than water in vessel R and initial quantity of mixture in vessel Q is 40L less than that of mixture in vessel P, then find the quantity of milk in vessel Q.

Bottle ‘A’ contains 200ml juice and bottle ‘B’ contains 220ml of water . 4xml of juice taken out from ‘A’ and mixed in ‘B’ and then 3x ml mixture from ‘B’ taken out and poured into a vacant bottle ‘C’. if the ratio of water to juice in glass C is 11:4 then find remaining Quantity of juice in bottle ‘B’ ?

In a mixture of milk and water, the proportion of milk by weight is 60% if from the 160 gm mixture , 40gm of mixture is taken out and 12gm of pure water is added to the mixture, then find the ratio of milk and water in the new mixture.

Two vessels P and Q contain water and milk mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69(3/13) % water is