Q1. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is:
Q2. Stanic and Paul take a piece of work for Rs. 28,800. One alone could do it in 36 days, the other in 48 days. With the assistance of an expert, they finish it in 12 days. How much remuneration the expert should get?
Q3. A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days, A and B commence work on the job, and work for 4 days, where upon A leaves, B continues for 2 more days, and then he leaves too, C now starts working, and finishes the job. How many days will C require?
Q4. In how many different ways can 4 boys and 3 girls be arranged in a row such that all boys stand together and all the girls stand together?
Q5. In how many different ways can the letters of the word ‘HAPPY’ be arranged?
Directions (6-10): Read the given data carefully and answer the given question
Pie chart shows the percentage distribution of time taken by 8 different persons namely A, B,C, D,E,F,G and H to reach a particular point but the starting point is not same and total time taken by all of them together is 500 hr. (partly by car and remaining by train)
The line graph shows percentage distribution distance travelled by car out of total distance travelled by them individually.
Q6. Find speed of E by train, if the speed of car is 60 km/hr and time taken by car and train are in the ratio of 4 : 3.
Q7. Find the speed of D by car. If the speed by train is 22 km/hr and time taken by car is 50% less than the train.
Q8. If the distance travelled by B, C and D together and E,F,G and H together is same. Then find the ratio of average speed of B,C and D together and E,F,G and H together.
Q9. Average speed of A and C are in the ratio of 4 : 3 and C have travelled 500 km more than A. Find the speed of A by car if the speed of A by train is 120 km/hr.
Q10. Total distance travelled by G is 2250 and the speed by train is 45 km/hr. Find the speed of G by car.
Directions (11-15): What should come in place of question mark (?) in the following questions?
Q11. √1225÷ ∛343× 45% of 760 = ?
Q14. (21% of 1326) – (17% of 932) = ?