Mathematics
Word Problems and Applications
Practice questions
The sum of a number and its square is 72. What is the positive number?The sum of two numbers is (22) and the sum of their squares is (250). What is the larger number?The product of two positive numbers is 216, and the larger number is 6 more than the smaller number. Find the smaller number.A rectangular room has an area of 300 square units, and its length is 10 units more than its breadth. What is the breadth of the room?The length of a rectangle is three times the number obtained by subtracting 2 from its breadth. If the breadth is 8, what is the area of the rectangle?For which positive number will multiplying the number obtained by adding 6 to it by the original number give 135?When 4 is subtracted from a number and the result is multiplied by the same number, the product is 77. What is the positive number?A poster has an area of 154 square units. Its length is 3 units more than its breadth. What is the breadth of the poster?A rectangular photo frame has outer length (20) and breadth (16). After removing a uniform border, the inner area is (192). What is the border width?A garden is (30) metres long and (20) metres wide. A uniform path is made inside around it. The remaining area is (384). What is the path width?A garden is (30) metres long and (20) metres wide. A uniform path is inside around it. The remaining area is (384). What is the correct path width?A garden is (28) metres long and (18) metres wide. A uniform path is inside around it. The remaining area is (352). What is the path width?A garden is (32) metres long and (22) metres wide. A uniform path is inside around it. The remaining area is (504). What is the path width?A field is (25) metres long and (15) metres wide. A uniform path is outside around it. The total area is (589). What is the path width?A field is (25) metres long and (15) metres wide. A uniform path is outside around it. The total area is (651). What is the path width?A shopkeeper sells \((60-x)\) items at the rate of \(x\) rupees per item. If his total revenue is 875 rupees, what is the smaller value of \(x\)?In an examination, if the number of correctly solved questions is \(x\), the marks obtained are \(x(20-x)\). If the marks obtained are 96, what is the larger possible value of \(x\)?In a group, each person shakes hands with every other person once. The total number of handshakes is (45). What is the number of persons?A bus covers a distance of 180 kilometres. If its speed is increased by 15 kilometres per hour, the travel time decreases by 1 hour. What was the original speed of the bus?The hypotenuse of a right triangle is 34 units long, and one leg is 14 units longer than the other. What is the length of the shorter leg?