Table of Contents

**Q1. In a solution of water and sugar, the ratio of sugar to water is 3 : 5. If 30% of this solution is taken out and 5% of the initial quantity of solution is added as water to the remaining quantity of the mixture then find the new ratio of sugar and water in the solution.**

(a) 6 : 13

(b) 3 : 7

(c) 7 : 13

(d) 4 :7

(e) 1 : 2

**Q3. Ratio of present age of A, B, C and D is 6 : 8 : 11 : 15 . Sum of their ages 4 years before was 64 years then what is the difference of present age of B and D.**

(a) 8 years

(b) 14 years

(c) 4 years

(d) 22 years

(e) None of these

**Q4. A cistern contains 50 liters of water. 5 liters of water is taken out of it and replaced by the same quantity of wine. This process is repeated one more time. After that 10 liters of solution is replaced by the same quantity of rum. Find the proportion of wine, water and rum in the final mixture.**

(a) 1 : 4 : 6

(b) 41 : 50 : 43

(c) 19 : 81 : 25

(d) 81 : 19 : 25

(e) None of these

**Q6. Sum of ages of Veer and Sameer is six years more than twice the age of Divyaraj and Sum of ages of Veer & Ayush is twice the age of Divyaraj. If the average age of Sameer & Ayush is 25 years and average age of all four is 25 years, then find the difference between the age of Veer and Divyaraj?**

(a) 2 years

(b) 4 years

(c) 6 years

(d) 8 years

(e) 1 years

**Q8. Present ages of A and B is in ratio of 7: 8. Ratio of present ages of A’s two sisters is 3 : 4. If A is 11 year younger than elder sister and younger sister is of same age as ‘B’, then find the sum of ages of all four members 10 years hence.**

(a) 101 years

(b) 145 years

(c) 131 years

(d) 125 years

(e) 141 years

**Q10. The sum of age of P and Q, 6 years ago is 82 years. Q’s age 14 years ago is equal to the present age of P. Then find age of P after 4 years?**

(a) 42 yrs

(b) 44 yrs

(c) 46 yrs

(d) 48 yrs

(e) 50 yrs

**Q11. A vessel contains 288 l mixture of milk and water in the ratio of 11 : 7. Some quantity of mixture is taken out and replaced with the same quantity of water and the new ratio of milk and water in the vessel becomes 11 : 13. Find the ratio of the amount of water in initial mixture to that of in final mixture?**

(a) 28 : 39

(b) 26 : 39

(c) 24 : 41

(d) 28 : 43

(e) 29 : 41

**Q12. There are two vessels A and B containing 20 lit of pure milk and 25 lit of water respectively. If 10 lit of pure milk is taken from vessel A and poured into B and again 21 lit of mix is taken out from B and poured into A then find the ratio between milk to water in vessel A.**

(a) 15 : 14

(b) 15 : 13

(c) 3 : 2

(d) 4 : 3

(e) 16 : 15

**Q13. A mixture of milk and water has 62% of milk content. Another mixture has 17% of water content. What quantity of mixture of 62% milk content is mixed with 8 lit of mixture of 83% milk content to prepare a new mixture of 69% milk content?**

(a) 14lit

(b) 16lit

(c) 18lit

(d) 12lit

(e)None of these

**Q14. Present age of father is 6 year more than twice of the present age of his son. Four years later, average age of father and son will be 34 years. Find ratio of present age of son to that of father?**

(a) 7:3

(b) 2:1

(c) 5:2

(d) 11:6

(e) 9:4

**Q15. A vessel contains 96ℓ of mixture of milk and water in the ratio of 5 : 3 respectively. If 24ℓ of mixture taken out and some quantity of milk and water added in the ratio of 3 : 5 so the new ratio of milk and water becomes 15 : 13. Find quantity of water added ?**

(a) 12.5 ℓ

(b) 15 ℓ

(c) 25 ℓ

(d) 7.5 ℓ

(e) 30 ℓ

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