**1. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?**

**A. 26 litres**

**B. 29.16 litres**

**C. 28 litres**

**D. 28.2 litres**

**2. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?**

**A. Rs.182.50**

**B. Rs.170.5**

**C. Rs.175.50**

**D. Rs.180**

**3. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?**

**A. 5litres, 7 litres**

**B. 7litres, 4 litres**

**C. 6litres, 6 litres**

**D. 4litres, 8 litres**

**4. Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ?**

**A. 3: 4**

**B. 4 : 3**

**C. 9 : 7**

**D. 7 : 9**

**5. The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?**

**A. Rs. 19**

**B. Rs. 16**

**C. Rs. 18**

**D. Rs. 17**

**6. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.**

**A. 4 : 3**

**B. 3 : 4**

**C. 2 : 3**

**D. 3 : 2**

**7. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine did the cask originally hold?**

**A. 30 litres**

**B. 26 litres**

**C. 24 litres**

**D. 32 litres**

**8. A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is**

**A. 4/3**

**B. 3/4**

**C. 3/2**

**D. 2/3**

**9. How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?**

**A. 60 Kg**

**B. 63 kg**

**C. 58 Kg**

**D. 56 Kg**

**10. In what ratio should rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture be worth Rs.10 per Kg ?**

**A. 7 : 8**

**B. 8 : 7**

**C. 6 : 7**

**D. 7 ; 6**

**1. 4 Litres is taken out of 40;**

**It means 10% gone from the 40 litres of milk**

**Means 90% remaining**

**Therefore according to question;**

**40*90*90*90/100*100*100 (since the process is donr 3 times)**

**=29.16 litres.**

**2. 126*1+135*1+X*2= 153*4**

**261 + 2x= 612**

**2x=351; x= Rs 175.50**

**3. by allegation method**

**3/4…………1/2**

**……..5/8……….**

**8……………..8**

**Hence 1: 1 Ans**

**4. by allegation method**

**5/7……………7/13**

**………8/13………..**

**7…………………9**

**Hence 7:9**

**5. 2*15+3*60=90**

**Hence 90/5= Rs 18/-**

**6. by allegation method**

**7.20…………..5.70**

**………..6.30………..**

**60………………..90**

**Hence 2:3**

**7. x*(1-8/x)^4= 16/81*x**

**(1-8/x)^4=(2/3)^4**

**1-8/x=2/3**

**X=24 litres**

**8. by allegation method**

**40%.................19%**

**………..26%............**

**7…………………14**

**Hence 1:2**

**9. by allegation method**

**9………………….7**

**………8.4………**

**1.4……………….0.6**

**Hence 7:3**

**3x= 27; x=9;**

**7x=63**

**10. by allegation method**

**9.30……………………10.80**

**…………..10……………**

**.80……………………..70**

**Hence 8:7**