Quantitative Aptitude Quiz For SBI PO/Clerk Prelims
Q1. A and B are two alloys of gallium and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of alloys are melted to form a third alloy C, find the ratio of gallium and copper in C.
Q2. There is a mixture of water and alcohol of 84 L. When 12 L of water is added to the mixture the ratio of water to alcohol becomes 11 : 5. Find the original ratio of alcohol to water in the mixture.
Q3. In a vessel there is a certain quantity of mixture of milk and water in the ratio 5 : 1 respectively. 24 litres of mixture is taken out and same quantity of milk is added to the vessel. The ratio of milk and water now becomes 13 : 2 respectively. Again 15 litres of mixture is taken out. What is the quantity of milk in the resulting mixture? (in litres)
Q4. 600 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
Q5. A drinker stole wine from a butt of sherry which contains 15% of sprit and he replaced what he had stolen by wine containing 6% of sprit. The butt was then 9% strong only. Find in what ratio he mixed two different wines.
Q6. Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution ?
Q7. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added must be
Q8. A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs. 20 per litre he may get a profit of 25% ? (note – water is free of cost)
Q9. An ore contains 25% of an alloy that has 90% zinc. Other than this, in the remaining 75% of the ore, there is no zinc. To obtain 60 kg of pure zinc, the quantity of the ore needed, in kg, is approximately:
Q10. In three vessels of 10L capacity, mixture of milk and water is filled. The ratio of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the respective vessels. If all the three vessels are emptied into a single large vessel, find the ratio of milk and water in the resultant mixture.
Q11. A milkman buys milk contained in 10 vessels of equal size. If he sells his milk at Rs. 5 a litre, he loses Rs. 200; if he sells it at Rs. 6 a litre, he would gain Rs. 150 on the whole. Find the number of litres contained in each vessel:
Q12. There is a mixture of alcohol and water of 120 litre. The ratio of alcohol to water is 5 : 3. If 30% of mixture is taken out and same amount of water is added in the remaining mixture, then find the new ratio of alcohol and water in the mixture.
Q13. A bottle contains three-fourths of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the mixture has half milk and half water?
Q14. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is:
Q15. A bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?