Q1. Two trains start moving at same time from station A and station B towards each other. The distance between the station A and B is 160 km. If they meet at a point 100 km from station A then find the ratio of their speeds?
Q2. A car meets with an accident while going to its destination and moves at ⅖ of its actual speed. Also, due to accident, it is late by 60 minutes. Find the actual time taken by the car to reach its destination?
Q3. A bus travels at 40 km/hr from Delhi to Kanpur and 60 km/hr from Kanpur to Delhi. What is the average speed of bus for total journey ?
Q4. P can fill water in a tank in 12 days and Q can fill it in 18 days, while R can completely empty the tank in 36 days. If they start working together at same time, in how many days the tank fill completely ?
Q5. 6 men can do a work in 18 days and 12 women can do the same work 15 days. In how many days can 12 men and 10 women complete the same work ?
Directions (6-10): In the given question, two equations numbered I & II are given, solve the equation and mark the answer —
Q6. (i) 2x² + 13x + 21 = 0
(ii) 2y² + 3y – 20 = 0
Q7. (i) 2x² + 19x + 44 = 0
(ii) 2y² – 9y + 9 = 0
Q8. (i) 5x² – 7x + 2 = 0
(ii) y² + 11y + 18 = 0
Q9. (i) x² – 11x + 24 = 0
(ii) 2y² – 13y + 21 = 0
Q10. x² = 5184
y = √(5599–415)
Directions (11-15): What will come in place of question mark (?) in the following questions (you are not expected to find exact value)?
Q11. 299.85 – 145.05 + 29.99 × 12.02 =?
? ≃ 515
Q12. 1441 ÷ 36 + 2/9 × 4049 – 125.01 =?
Q13. √325× 7 .99 + 705.97 =?
? ≃ 850
Q14. 9659 ÷ 20.99 + 7921 ÷ 11.97 =?
Q15. 1401 ÷ 34.97 + 21.98 × √626 =?