**Q1. The ratio of spirit and water in two mixtures of 24 liters and 42 liters is 7 : 5 and 5 : 9 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is**

(a) 21 : 29

(b) 29 : 35

(c) 37 : 29

(d) 29 : 37

(e) 31 : 29

**Q2. Ratio of Neha and Sarita’s age is 3:4, x years ago the ratio was (x-5) :(x+6). Find out present age of Sarita. (in years)**

(a) 16

(b) 24

(c) 32

(d) 12

(e) Can’t be determined.

**Q3. Rohit travels to a place at an average speed of 45 km/hr and returns at speed of 54 km/hr. His average speed for the whole journey is?**

(a) 40 km/hr

(b) 45 km/hr

(c) 42.54 km/hr

(d) 24.54 km/hr

(e) 49.09 km/hr

**Q4. Average runs of a batsman in 29 innings was 16. How many runs he should make in his next innings to increase his average run by 6 ¼ % ?**

(a) 42

(b) 43

(c) 44

(d) 45

(e) 46

**Q5. Two vessels A and B containing 40 lit of water and 60 lit of alcohol respectively. If 30% of water is taken from vessel A and poured into vessel B and again 50% mixture is taken out from Vessel B and poured into Vessel A, then find the ratio between water to alcohol in final mixture in vessel A . **

(a) 17 : 15

(b) 15 : 13

(c) 3 : 2

(d) 4 : 3

(e) 16 : 15

**Q6. Vijay’s age is 66⅔% more than the sum of age of his three children. If the average of his three children’s age is 11 years, then find the average age of Vijay and his three children?**

(a) 22 years

(b) 20 years

(c) 23 years

(d) 25 years

(e) 28 years

**Q7. The sum of P’s and Q’s age six years ago was 44 years and P’s age nine years ago was equal to Q’s age three years ago. Find the age of P four years hence? **

(a) 35 yrs

(b) 36 yrs

(c) 42 yrs

(d) 40 yrs

(e) 38 yrs

**Q8. Ratio of ages of Rajeev and Rakesh 7 years ago, was 5:4 respectively and the age of Ravi and Rakesh 3 years hence, will be in ratio of 24:19 respectively. If Ravi is 3 years elder than Rajeev, then find the present age of Rakesh?**

(a) 35 years

(b) 29 years

(c) 38 years

(d) Cannot be determined

(e) 42 years

**Q9. There are two vessels A and B. The quantity of milk and water in vessel A and vessel B is in the ratio of 5:3 and 3:1 respectively and both vessels have the same quantity of liquid. If both vessels are poured into a third vessel C, then find the quantity of milk is how much more than the quantity of water in vessel C. (the quantity of water in vessel C is 25 litres)**

(a) 40 litres

(b) 36 litres

(c) 30 litres

(d) 32 litres

(e) 34 litres

**Q10. A vessel is fully-filled with mixture of water and oil. If in the mixture water is 40%, then how much quantity of mixture (in percent) must be drawn and completely replaced with water so that the resulting mixture contains half water and half oil?**

(a) 16⅔%

(b) 33⅓%

(c) 46⅔%

(d) 73⅓%

(e) 86⅔%

**Q11. The average weight of a group increased by 2 kg when a new person having weight of 78 kg joins the group. If the new average weight of the group becomes 70 kg, then find the members in the group initially.**

(a) 5

(b) 6

(c) 4

(d) 7

(e) 3

**Q12. A vessel contains 120 liters of milk. 30 liters of milk taken out from the vessel and replaced by water and this operation repeated two more times. Find the ratio of milk and water in resulting mixture?**

(a) 71 : 23

(b) None of these

(c) 23 : 77

(d) 27 : 47

(e) 27 : 37

**Q13. Mother’s present age is 2.75 times of Son’s present age and Father’s present age is 3 times of Son’s present age. The difference between Father’s and Mother’s present age is equal to the difference of Son’s and Daughter’s present age. If Daughter’s present age is 12 years and Daughter is the youngest member of the family, then find Father’s present age.**

(a) 42 years

(b) 48 years

(c) 44 years

(d) 46 years

(e) 50 years

**Q14. Vessel P contains X liters of a mixture of oil and water in the ratio 7:3 respectively and vessel Q contains 200 liters of another mixture of oil and water in the ratio 1:9 respectively. If the mixture of both vessels is mixed and the quantity of oil and water becomes equal to each other in the resulting mixture, then find X. **

(a) 360

(b) 300

(c) 400

(d) 350

(e) 320

**Q15. Ankita father’s age is two times more than her present age and age of Ankita’s mother is 12 years more than average of Ankita and her father’s age. If four years ago average age of all three was 32 years, then find the ratio between Ankita mother’s age and Ankita father’s age four years hence?**

(a) 13 : 12

(b) 12 : 17

(c) 12 : 19

(d) 12 : 13

(e) 12 : 23

**Solutions**