**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 39 of the study plan and in Quantitative Aptitude today’s chapter is Practice of 8-10 Chapters (Problem on Ages, Mixture & Alligation)**

**Q1. The captain of a cricket team of 11 players is 25 years old and the wicket-keeper is 4 years older. If the age of these two players are replaced by that of another two players, the average of the cricket team drops by 2 years. Find the average age of these two players.**

(a) 15 years

(b) 16 years

(c) 17 years

(d) 16.5 years

(e) 17.5 years

**Q2. There are three mixtures containing milk and water. Concentrations of the milk in the three containers are 80, 75 and 90% respectively. From these containers 1, 2 and 2 litres are taken and a new mixture is formed, find the concentration of the milk in the new mixture.**

(a) 81

(b) 82

(c) 83

(d) 84

(e) 85

**Q3. How many kg of salt at Rs. 2 per kg must a man mix with 25 kg of salt at 1 Rs. per kg so that he may, on selling the mixture at Rs. 1.5 per kg gain 25% on the outlay?**

(a) 6.25 kg

(b) 18 kg

(c) 12 kg

(d) 12.5 kg

(e) 15 kg

**Q4. Two liquids are mixed in the ratio 3 : 2 and the mixture is sold at Rs. 11 per kg at 10% profit, if the first liquid costs Rs. 2 more per kg than the second, what does it cost per litre?**

(a) Rs. 11

(b) Rs. 10.50

(c) Rs. 11.50

(d) Rs. 10.80

(e) Rs. 11.80

**Q5. There is a mixture of alcohol and water containing 60% alcohol. Amit wants to dilute the mixture to 50% by adding some quantity of water to it. But instead of adding pure water he added pure alcohol to the mixture, now to get the mixture to 50% diluted, how much water as a fraction of the mixture must be added?**

(a) 1/2

(b) 1/4

(c) 1/3

(d) 1/5

(e) None of these

**Q6. Two equal glasses filled with mixtures of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into third glass. What is the proportion of alcohol and water in the third glass?**

(a) 5:7

(b) 7:5

(c) 7:6

(d) 6:7

(e) None of these

**Q7. A butler stole wine from a bottle which contained 32% of spirit and then replaced what he stole, by wine containing only 18% spirit. The bottle was then of 24% strength only. How much part of the bottle had he stolen?**

(a) 3/8

(b) 5/7

(c) 4/7

(d) 7/11

(e) None of these

**Q8. Several litres of acid were drawn off from a 54 litre vessel full of acid and equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result now, the vessel contained 24 litres of pure acid. How much of the acid (in litres) was drawn off initially?**

(a) 12

(b) 16

(c) 18

(d) 24

(e) None of these

**Q9. The average age of a couple at the time of their marriage was 25 years. The average age of the family just after the birth of the first child was 18 years. The average age of the family just after the second child was born was 15 years. The average age of the family after the third and the fourth children (who are twins) were born was 12 years. If the present average age of the family of six persons is 16 years, how old is the eldest child?**

(a) 6 years

(b) 7 years

(c) 8 years

(d) 9 years

(e) None of these

**Q10. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio must these metals be mixed so that the mixture may be 12 times as heavy as water?**

(a) 2:3

(b) 3:7

(c) 1:3

(d) 7:3

(e) None of these

**Q11. Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan’s sister was 10 years younger to him at the time of his marriage. The age of Rajan’s sister is:**

(a) 32 years

(b) 36 years

(c) 38 years

(d) 40 years

(e) None of these

**Q12. Tina’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tina’s age to that of her grandfather?**

(a) 1:2

(b) 2:3

(c) 3:8

(d) 11:53

(e) None of these

**Q13. Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother, four years younger to her was born. What is the difference between the ages of her parents?**

(a) 2 years

(b) 4 years

(c) 6 years

(d) 8 years

(e) None of these

**Q14. My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?**

(a) 32 yrs, 23 yrs

(b) 32 yrs, 29 yrs

(c) 35 yrs, 29 yrs

(d) 35 yrs, 33yrs

(e) None of these

**Q15. Present age of Rahul’s father is four times of his age. After 8 years, his father would be two and a half times of Rahul’s age. After further 8 years, how many times would he be of Rahul’s age?**

(a) 2 times

(b) 2(1/2) times

(c) 2(3/4)times

(d) 3 times

(e) None of these