Q1. A and B could do a piece of work in ‘n’ days and 12 days respectively. If they started doing work on alternate days starting from A and took 9.5 days to complete the work. Find the value of ‘n’? (in days)
Q2. Vaishali invested Rs.’x+4000′ in scheme A for three years which was offering simple interest at the rate of 10% p.a. and earned Rs. ‘0.25x+1500’. Find the value of x?
Q3. If the number of ways in which a team of 3 boys and 2 girls can be made out of 5 boys and ‘g’ girls are 100. Find the value of g?
Q4. A and B enters in a partnership with Rs.5000 and Rs.8000 respectively. After 8 months B discontinues its investment while the ratio of profit of B to that of A is 4:5. Find the difference between the time period for which A and B invested their amount? (in months)
Q5. A boat takes total of 11 hours to cover the distance of 56 km upstream and 40 km downstream. If the ratio of speed of boat in still water to speed of stream is 5:3. Find the distance travelled by boat in 3 hours in still water?
Q6. Train A having speed 54 kmph crosses another train B having speed 90 kmph running in opposite direction in ‘t’ seconds. If the ratio of length of train A to train B is 3:2 and train A crosses a pole in 20 sec. Find the value t-1.5?
Q7. The average weight of 44 students of a class is 50, if the weight of teacher is also included then the average changes to 51. Find the 50% of teacher’s weight? (in kg)
Q8. A shopkeeper sold an article for Rs.7200 after allowing two successive discounts of 20% and 25% . Find the cost price of article if the marked price was 5/3 rd of cost price? (in Rs.)
Q9. Find the probability of getting a sum which is divisible by 4, when two dice are thrown simultaneously?
Q10. A vessel contains a mixture of milk and water in the ratio of 3:1. After replacing 8 liters mixture from vessel and adding water equals to 50% of removed quantity, the ratio of water and milk becomes equal. Find the initial quantity of mixture? (in liters)
Q11. 12 men can do a piece of work in 27 days while 18 women can do same piece of work in 20 days. Find in how many days 6 men and 20 women can do that same work together?
Q12. The difference between the area of square and circle is 468 m2 whereas the side of square is 250% of radius of circle. Find the difference between the perimeter of square and circumference of circle? (in meters)
(Value of pi=3)
Q13. Pipe A alone fills a tank in 12 hours while P alone fills same tank 8 hours. Both pipes opened together but after 4 hours pipe P is closed then find the total time in which tank is fully filled? (in hours)
Q14. The respective ratio of present ages of A to that of B is 7:4 and 4 years ago, the respective ratio of their ages was 5:2. Find the average of ages of A and B, 5 years hence. (in years)
Q15. A shopkeeper mix two varieties of sugar A and B in the ratio of 1:2 which costing Rs.30/kg and Rs.40/kg respectively. Find the cost of per kg of final mixture? (in Rs/kg)