Suyash scored 10 marks more in second test than that in the first. 5 times the score of the second test is the same as square of the score in the first test. Find his score in the first test.

Attempt of the following question:

Write the quadratic equation whose roots are -2 and -3.

Attempt any two of the following subquestions:

If the cost of bananas is increased by 10 per dozen, one can get 3 dozen less for 600. Find the original cost of one dozen of bananas.

Attempt any two sub-questions from the following:

From the same place at 7 a.m. A started walking in the north at the speed of 4 km/hr. After 1 hour B started cycling in the east at a speed of 8 km/hr. At what time will they be at a distance of 20 km apart from each other?

Attempt any four of the following sub questions:

If one root of the quadratic equation kx2 – 8x + 15 = 0 is 3, then find the value of k.

Mr. Dinesh owns an agricultural farm at village Talvel. The length of the farm is 10 meter more than twice the breadth. In order to harvest rain water, he dug a square shaped pond inside the farm. The side of pond is 1/3 of the breadth of the farm. The area of the farm is 20 times the area of the pond. Find the length and breadth of the farm and of the pond.

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation

2x² + 2(p + q)x + p² + q² = 0

Mukund possesses ₹50 more than what Sagar possesses. The product of the amount they have is 15,000. Find the amount each one has.

Pratik takes 8 hours to travel 36 km downstream and return to the same spot. The speed of boat in still water is 12 km. per hour. Find the speed of water current.

Pintu takes 6 days more than those of Nishu to complete certain work. If they work together they finish it in 4 days. How many days would it take to complete the work if they work alone.

Find m if (m-12)x² + 2 (m - 12)x + 2 = 0 has real and equal roots.