Quantitative Aptitude Quiz For Uttarakhand District Cooperative Banks Prelims
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Q1. One type of liquid contains 50% of milk, the other contains 60% of milk. A container is filled with 12 parts of the first liquid and 8 parts of the second liquid. The percentage of milk in the mixture is:
Q2. In a 70 litre of mixture of spirit and water, the ratio of spirit to water is 9 : 5. If 14 litre mixture is taken out and same amount of water is added to the mixture. If this process is repeated for two times, then what will be quantity of spirit in final mixture?
Q3. A man bought a scooter and a car. He sold all of them at 30% profit. Scooter is sold at 10% profit. Cost price of scooter is 1/10 of the cost of car. Marked price of a car is Rs. 4,50,000. If he bought scooter at a discount of 20% on marked price and car at a discount of 10% on marked price then, what will be the ratio of marked price of scooter to the selling price of the car.
Q4. Vessels A and B contain mixture of milk and water in the ratios 3 : 4 and 3 : 2 respectively. In what ratio should quantities of mixtures be taken from A and B to form a mixture in which milk to water is in the ratio 6 : 5 ?
Q5. In an examination a student Raj got 25% of the maximum marks and failed by 15 marks. Another student Ravi scored 35% of the maximum marks which was 25 marks more than the passing marks. The necessary percentage required for passing is
Q6. A man has whisky worth Rs. 22 a litre and another lot worth Rs 18 a litre. Equal quantities of these are mixed with water to obtain a mixture of 50 litres worth Rs 16 a litre. Find how much water the mixture contains? (assume water is free of cost)
Q7. 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?
Q8. A man lends a certain sum of money at simple interest. Rate of interest for first one and a half years is 6% per annum, for next 9 months is 5% per annum and for remaining time is 4% per annum. If he received Rs. 11496 at the end of 4 years, his capital was
Q9. A mixture of a certain quantity of milk with 16 litres of water is worth Rs 3 per litre. If pure milk be worth Rs 7 per litre how much milk is there in the mixture? (cost of water is zero)
Q10. An alloy of silver and copper weighs 70 g. It contains 60% silver. How much silver should be added to the alloy so that percentage of silver is increased to 80?
Q11. 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?
Q12. Vijay purchased two different kinds of alcohol. In the first mixture, the ratio of alcohol to water is 3 : 4 and the second mixture it is 5 : 6. If he mixes, the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5, the quantity of the first mixture (whose ratio is 3 : 4) that is required to make 18 litres of the third kind of mixture is:
Q13. A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?
Q14. An alloy contains only zinc and copper. One such alloy weighing 15 gm contains zinc and copper in the ratio of 2 : 3 by weight. If 10 gm of zinc is added then find what amount of copper has to be removed from the alloy such that the final alloy has zinc and copper in the ratio of 4 : 1 by weight?
Q15. Find the compound interest on Rs 80000 for 3 years if the rate of interest is 5% for the first year, 4% for the second year and 5% for the third year.