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Quantitative Aptitude Quiz for RBI Assistant/ IBPS PO Mains 2020- 27th October

Q1. Glass ‘A’ contains 400 ml sprite & glass ‘B’ contains 220 ml coke. 4X ml sprite taken out from ‘A’ and mixed in ‘B’ and then 3X ml mixture from ‘B’ taken out and poured into a vacant glass ‘C’. If ratio of coke to sprite in glass C is 11 : 4, then find remaining quantity of sprite in glass ‘B’?

(a) 240 ml
(b) 60 ml
(c) 64 ml
(d) 80 ml
(e) 48 ml

Q2. Vessel A contains mixture of milk, water and wine in the ratio 2 : 3 : 5 and vessel B contains mixture of milk and wine in the ratio 3 : 5. If quantity of milk in vessel A is equal to quantity of milk in vessel B and sum of water in A and wine in B is 95L then find the total quantity of mixture in vessel A.

(a) 75 L
(b) 100 L
(c) 125 L
(d) 135 L
(e) 150 L

Q3. A vessel contains mixture of tin and copper in the ratio of 2 : 3. Some amount of mixture is taken out and 28 gm copper is added to the remaining mixture so that amount of copper becomes 66⅔% in the new mixture. If 12½% of initial mixture is 22.5 gm then, find what amount of tin was taken out from the initial mixture?          

(a) 16gm
(b) 14gm
(c) 12gm
(d) 10gm
(e) 18gm

Q4. 48 l water mixed in a container, which contain 120 l milk.  42 l mixture from container taken out and some quantity of water and milk mixed in the ratio of 2 : 1. If in the resulting mixture ratio of milk and water is 11 : 6, then find what quantity of water was added?

(a) 12 l
(b) 10 l
(c) 24 l
(d) 18 l
(e) 28 l

Q5. There are three vessels A , B and C, Vessel A and B filled with mixture of milk and Water in the ratio of 5 : 4 and 5 : 3 respectively. 25% of mixture from vessel A taken out and mixed in vessel C, which contains 45 L pure milk. If in resulting mixture milk is 250% more than water in vessel C and initial quantity of mixture in vessel B is 20 L less than that of mixture in vessel A, then find the quantity of milk in vessel B?

(a) 180 liters
(b) 120 liters
(c)  80 liters
(d) 100 liters
(e) 140 liters

Q6. Two types of ornaments are prepared by using gold and copper in two different proportions. In first ornaments, 6-gram gold is mixed with 5-gram copper and in second ornament 5-gram gold is mixed with 3-gram copper. If total quantity of gold and copper is122 gram and 90 grams respectively then how many ornaments are prepared of second type? (total gold and copper are used)

(a) 15
(b) 10
(c) 7
(d) 20
(e) 9

Q7. A 90 liter vessel contains a mixture of lemon juice & orange juice in the ratio 7 : 8. Some mixture is taken out from the vessel and is replaced completely by the water. Ratio of lemon juice, orange juice and water in the resulting mixture is 14 : 16 : 15. Then, find the quantity of lemon juice in resulting mixture is what percent of the quantity of orange juice in the original mixture.

(a) 58⅓%
(b) 62⅓%
(c) 55⅓%
(d) 49⅓%
(e) None of the above.

Q8. A vessel contains X liters of milk. 4 liters of milk is replaced by water completely and the ratio of milk to water is 4 : 1 in the resulting mixture. Then, again 4 liters of the solution is replaced by water completely and the ratio of milk to water in the resulting mixture becomes 16 : 9. Then, find the value of X.

(a) 22 liters
(b) 24 liters
(c) 15 liters
(d) 28 liters
(e) None of the above.

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Q10. A and B are two alloys which were made by mixing iron and copper in the ratio of 3 : 5 and 5 : 9  respectively. If 60 grams of alloy A and X grams of alloy B are melted and mixed to form another alloy C, what is the value of X if the ratio of iron and copper in the new alloy is 35 : 61 ?

(a) 70 gms
(b) 56 gms
(c) 98 gms
(d) 84 gms
(e) 112 gms

Q11. Pipe A can fill 50% of a tank in 360 minutes and pipe B can fill 33⅓% of same tank in 480 minutes, while pipe C can empty the same tank in 600 minutes. If all three pipes are opened together, then find the time required to fill the tank (in minutes)?

(a) 3200
(b) 2400
(c) 2800
(d) 3600
(e) 4000

Q12. A tank has four inlet pipes. Through the first three inlets pipes opened together, tank can be filled in 12 min and through the last three inlets, tank can be filled in 15 minutes and through the first and last inlets, tank can be filled in 24 minutes. Then find the time taken by last pipe to fill half of the tank?            

(a) 80 min
(b) 60 min
(c) 40 min
(d) 20 min
(e) 30 min

Q13. Pipe A can fill a tank in 45 hr, pipe B is 50% more efficient than A and pipe C can fill the same tank in 7.5 hr less than B. A and B opened together after X hr both pipe closed and pipe C filled remaining tank in (X + 9) hr, if the ratio between tank filled by (A + B) together to tank filled by pipe C is 1 : 2. Find the value of X ?

(a) 2 hr
(b) 4 hr
(c) 12 hr
(d) 6 hr
(e) 8 hr

Q14. There are 3 pipes A, B and C. A can fill a bucket in 8 minutes. C can fill 18/5 buckets in 18 minutes & pipe B can fill 3/20 buckets in a minute. These pipes are opened in a tank alternatively, 1 minute each starting from A, then C, then B. If tank is filled after 2 hours, then find the volume of tank if the capacity of bucket is 5 liters.

(a) 88 liters
(b) 95 liters
(c) 90 liters
(d) 105 liters
(e)  92 liters

Q15. Two pipes P and Q can fill tank A in 28 minutes and 56 minutes respectively and empty pipe M can empty the tank in 42 minutes, while capacity of tank is 168 litres. If all three pipes opened in tank B for (x – 24) minutes together they filled 90 liter of the tank which is 25% of the capacity of tank B. Find in x minutes what portion of tank B filled, if all pipe P and Q and M opened alternatively starting with P, followed by Q and M respectively?  

(a) 5/36
(b) 7/36
(c) 9/38
(d) 7/38
(e) 7/39

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