IBPS PO Quantitative Aptitude (Mixture & Allegation, Probability) Quiz For Prelims: 21st March 2019

Q1. A producer of rice mixes two varieties of rice from two fields one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the mixed variety at Rs 21 per kg, then his gain percent is

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Q2. Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containingmilk is

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Q3. There are two vessels A and B. Vessel A is containing 40 litres of pure milk and vessel B is containing 22 litres of pure water. From Vessel A, 8 litres of milk is taken out and poured into vessel B. Then 6 litres of mixture is taken out from Vessel B and poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B?

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Q4. Two litres of mixtures of wine and water contain 12% water. They are added to 3 litres of another mixture containing 7% water, and half a litre of water in then added to whole. What is the percentage of water in resulting concoction?

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Q5. 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 ?

Q6. A Pet Dog on a controlled diet is fed daily 300 g of a mixture of two foods, X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the pet dog diet provides exactly 38 g of protein daily, how many grams of food X are in the mixture?

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Q7. The cost price of three varieties of apples namely A, B and C is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of apple in which these three varieties of apples are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20% ?

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Q8. 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)

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Q9. Vessels A and B contain mixture of milk and water in the ratios 4 : 5 and 5 : 1 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 5 : 4 ?

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Q10. A bag contains 5 red, 7 yellow and 6 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly 2 green balls?

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Q11. A bag contains 9 red and 7 white balls. Four balls are drawn out one by one and not replaced. What is the probability that they are alternatively of different colours?

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Q12. 8 persons are seated at a round table. What is the probability that 3 particular persons sit together?

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Q13. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that non is yellow?

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Q14. Anil can kill a bird once in 3 shots. Assume that he fires 3 shots, find the probability that the bird is killed.

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Q15. A die is thrown once. What is the probability of occurrence of an odd number on the upper face?