Q1. The present ages of A and B are 36 years and 12 years respectively. After ‘n’ years the ratio of ages of A to B will become 2:1. Find the value of n²-3n+4?
Q2. In an election between two candidates, one got 60% of the total valid votes while the difference of votes between both candidates was 3300. Find the total number of votes if 25% of votes were invalid?
Q3. Find the weight of new person, if the average weight of 12 persons increases by 3 kg when a new person comes in place of one who weighing 48 kg?
Q4. A dealer has 120 kg of sugar, part of which he sells at 18% profit while rest at 26% profit. In whole process dealer gains 20%, Then find the quantity sold at 26% profit? (in kg)
Q5. The average speed of bus is 30 kmph including stoppages but it is 42 kmph excluding stoppages. Find the number of minutes for which bus stops every hour? (in minutes)
Q6. The average monthly income of A and B is Rs.48000, while the average monthly income of B and C is Rs.35000. Find the monthly income of A if the sum of monthly income of A and C is Rs.60000? (in Rs.)
Q7. A mixture contains milk and water in the ratio 9:7. If 32 liters of mixture is replaced with 28 liters of water then ratio of water and milk changes to 7: 6, Find the initial quantity of water in the mixture? (in liters)
Q8. A container has mixture of water and acid in which water is 60% out of total mixture of 60 lit. If 20 lit of the mixture is taken out and 32 lit of another mixture of water and acid is added and in second mixture acid is 25%, then find ratio of water to acid in final mixture?
(c) 2: 1
Q9. A mixture of grape juice to alcohol is in the ratio of 3: 1. When 36 litres alcohol is added to the mixture, the ratio of alcohol to grapes Juice becomes 9: 7. Find the initial amount of grapes Juice?
(a) 48 litre
(b) 60 litre
(c) 81 litre
(d) 54 litre
(e) 108 litre
Q10. Rita is 3/4 times of her friend Kapil’s age and Manish is 5/3 times of Rita’s age. After 10 years, the ratio of Manish, Rita and Kapil’s age is 15 : 11 : 13. Find Rita’s age 5 years ago ?
(a) 6 yrs
(b) 8 yrs
(c) 9 yrs
(d) 7 yrs
(e) 5 yrs
Q11. The ratio of milk to water in a vessel is 6: 7. If 18 liters of milk added in it, then the ratio of milk to water becomes 3: 2. Find the initial quantity of mixture in the vessel?
(a) 28 liter
(b) 52 liter
(c) 42 liter
(d) 24 liter
(e) 36 liter
Q12. In a hostel consisting of 459 students, if number of students increases by 36, the expense of mess per day increased by Rs. 81 while reducing the average expense per head by Rs. 1, Find the original expenditure of mess ?
Q13. B’s age 6 years ago was 25% of A’s age at that time. If ratio of present age of A to B is 3: 1, then find B’s age eight years hence?
(a) 22 years
(b) 24 years
(c) 28 years
(d) 26 years
(e) 32 years
Q14. There is 48 liters mixture of alcohol and water in the ratio of 3: 5 respectively. If x litres of water is added to the mixture, then ratio of alcohol to water becomes 1: 3. Find the value of x²?
Q15. Mohit is 8 years younger than Rohit. Rohit age 2 years ago was three times the present age of Brijesh. At present Mohit’s age is 200% of Brijesh’s age, then find the present age of Rohit?(in years)