Q1. The average weight of 5 apples is 100 g and the average weight of 4 oranges is 80 g. If 2 apples and 2 oranges are picked from them then average weight is found to be 85 g. What is the average weight of the remaining apples and oranges?
(a) 88 g
(b) 90 g
(c) 96 g
(d) 95 g
(e) 92 g
Q2. A person bought 20 kg of rice at Rs. 10.50 per kg and 30 kgs at Rs. 12 per kg. He mixed the two and sold the mixture at Rs. 11.40 per kg. What was the gain in this deal (in Rs.)?
(a) 0
(b) 20
(c) 100
(d) 75
(e) 5
Q3. A vessel of 70 litres is filled with milk and water. 75 percent of milk and 25 percent of water is taken out of the vessel. It is found that the vessel is vacated by 60 percent. Find the initial quantity of water.
(a) 21 litres
(b) 25 litres
(c) 27litres
(d) 32 litres
(e) None of these
Q4. How many litres of fresh water should be mixed with 30 litres of 50% milk solution so that resultant solution is a 10% milk solution?
(a) 120 litres
(b) 25 litres
(c) 150 litres
(d) 60 litres
(e) 160 litres
Q5. How much water should be added to a mixture so that water may be 20 percent of the final mixture?
A. The mixture of milk and water measures 80 litres.
B. It contains 5 percent water initially.
C. It contains 76 litre milk initially.
(a) A alone is sufficient.
(b) B and C together are sufficient.
(c) Any two of the three are sufficient.
(d) A, B and C all the three together are necessary.
(e)All the three even together are not sufficient.
Directions (6-9) Read the passage below and solve the questions based on it:
There are two-brands of TVs, Onida and Videocon in the market. Onida is an old brand launched in 1990 and Videocon is a new brand launched in 1997. For both these brands, 20% of the TVs purchased every year are disposed off as out-dated exactly two years later. It is known that 10 Onida TVs were disposed off in 1997. The following table gives us the number of TVs in operation at the end of the year from 1996 to 2000.
Q6. What is the average number of Videocon TVs disposed every year off by 2000 since its launch?
(a) 4
(b) 12
(c) 8
(d) 10
(e) 7
Q7. What is the average number of Onida TVs purchased every year till 1995?
(a) 20
(b) 24
(c) 28
(d) 32
(e) Cannot be determined
(a) 1997
(b) 1998
(c) 1999
(d) 2000
(e) Cannot be determined
Q9. What is the average number of Videocon TVs purchased every year by 2000?
(a) 33.5
(b) 37.5
(c) 40
(d) 35
(e) None of these
Q10. Ranbir purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20 per cent overall profit. At what price per kg did he purchase the lot of another 30 kg rice?
(a) Rs. 14.50
(b) Rs. 12.50
(c) Rs. 15.50
(d) Rs. 13.50
(e) None of the above
Q11. The ratio of the quantities of an acid and water in a mixture is 1 : 3. If 5 litres of acid is further added to the mixture, the new ratio becomes 1 : 2. The quantity of new mixture in litres is:
(a) 32
(b) 40
(c) 42
(d) 45
(e) None of the above
Q12. In three vessels, the ratio of water and milk is 6 : 7, 5 : 9 and 8 : 7, respectively. If the mixture of the three vessels is mixed, then what will be the ratio of water and milk?
(a) 2431 : 3781
(b) 3691 : 4499
(c) 4381 : 5469
(d) 5469 : 3691
(e) None of the above
Q13. Two vessels contain milk and water in the ratio 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.
(a) 2 : 1
(b) 1 : 2
(c) 4 : 1
(d) 1 : 4
(e) None of the above
Q14. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be:
(a) 5 : 7
(b) 5 : 9
(c) 7 : 5
(d) 9 : 5
(e) None of the above
Q15. 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 (milk and water) is taken out and from vessel B 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?
(a) 14 : 9
(b) 21 : 11
(c) 24 : 13
(d) 14 : 5
(e) 21 : 13
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