MEDIUM
10th Telangana Board
IMPORTANT
Earn 100

Find two numbers whose sum is 27 and product is 182.

Important Questions on Quadratic Equations

HARD
10th Telangana Board
IMPORTANT
Find two consecutive positive integers, sum of whose squares is 613.
HARD
10th Telangana Board
IMPORTANT
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
HARD
10th Telangana Board
IMPORTANT
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
HARD
10th Telangana Board
IMPORTANT
Find the dimensions of a rectangle whose perimeter is 28 meters and whose area is 40 square meters
HARD
10th Telangana Board
IMPORTANT
The base of a triangle is 4 cm longer than its altitude. If the area of the triangle is 48 sq.cm then find its base and altitude.
HARD
10th Telangana Board
IMPORTANT
Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster than the second train. If after two hours they are 50 km apart, find the average speed of each train.
HARD
10th Telangana Board
IMPORTANT
In a class of 60 students, each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys. If the total money then collected was 1600. How many boys were there in the class?
HARD
10th Telangana Board
IMPORTANT
A motor boat heads upstream a distance of 24 km in a river whose current is running at 3 km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintained a constant speed, what was its speed in still water?