Q1. Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes ?
Q2. A train travels a distance of 600 km at a constant speed. If the speed of the train is increased by 5 km/hr, the journey would take 4 hrs less. Find the speed of the train.
Q3. A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, in how many hrs will the leak empty it ?
Q4. A grocer sells rice at a profit of 15% and uses weights which are 15% less than the market weight. The total gain percentage earned by him will be:
Q5. Two trains pass each other on parallel lines. Each train is 100 metres long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions they pass each other completely in 10 seconds. Find the speed of the slower train in km/hr.
Directions (6-10): In each of the following questions two equations are given. You have to solve the equations and
Give answer –
Q6. I. 8x² + 18x + 9 = 0
II. 4y² + 19y + 21 = 0
Q7. I. 3x² + 16x + 21 = 0
II. 6y² + 17y + 12 = 0
Q8. I. 16x² + 20x + 6 = 0
II. 10y² + 38y + 24 = 0
Q9. I. 8x² + 6x = 5
II. 12y² – 22y + 8 = 0
x < y
x ≤ y
x > y
Q10. I. 17x² + 48x = 9
II. 13y² = 32y – 12
Directions (11 - 15) : What should come in place of question mark (?) in the following questions?
Q11. 115% of 4880 – 85% of 1640 = ?
Q12. ∛9261×√7225= ? +89
Q13. 5.35 + 4.43 + 0.45 + 45.34 + 534 = ?
Q14. 0.5% of 674 of 0.8% of 225 = ?
Q15. 12% of 1885 = ? ÷ 6