Direction: In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 13x + 42 = 0
II. y² – 2y - 63 = 0

Length of train A is half as that of train B. Train A and B crosses the platform of length 100 meters in 5 seconds and 6 seconds respectively. If the ratio of speed of train A and B is 2 : 3, Find the length of train B.

A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

A started the business with the investment of Rs. 36000. B and C joined him with some investments after 3 and 6 months. The profit is divided in the ratio of 2 ∶ 3 ∶ 5 at the end of the year. Find the difference between the investment made by B and C in the business.

The difference between the compound interest (compounded annually) and simple interest on a sum of money deposited for 2 years at 5% per annum is Rs. 15. What is the sum of money deposited?

P can do a task in 30 days, Q is 50% more efficient than P, R can do the same work in 10 days less than Q if R and Q start task together and after X days they left the task and P completed the remaining task in (X + 8) days. then find the value of X?

The ratio of present ages of P and Q is 3:4. The ratio of their ages 27 years hence would be 6:7. If P is 9 years younger than Q then, what would be the present age of Q?

Direction: Study the information given below carefully and answer the questions given below.
Three companies A, B and C manufactured two types of bottles viz Steel and Copper. Total number of bottles manufactured by the company is 1000. The ratio between the number of copper bottles manufactured by A and the number of Steel bottles manufactured by B is 13: 17. The total number of Copper bottles manufactured by C is 164. The number of Copper bottles manufactured by B is 25 more than the same type of bottles manufactured by A. The 14.28 % of the number of Copper bottles manufactured by B is equal to the 1/9th of the total number of Steel bottles manufactured by C. The number of Steel bottles manufactured by A is 122 which is 21 less than the number of Copper bottles manufactured by the same company.

If the cost price of each copper bottles sold by shop B is Rs. 250 and the cost price of steel bottles is 20% more than the copper bottles, then find the total amount earned on selling bottles by shop B.