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Two sides of a triangle are 5 cm and 6 cm are perpendicular to each other then for the area of the triangle, which one of the following inequality is the sharpest?

The difference of two numbers is 1067. On dividing the larger number by the smaller we get 4 as a quotient and 11 as remainder. Find the smaller number.

Two persons are walking with the speed A and B respectively. If the first person takes 5min less to cover a distance, what is the time taken by the second person to cover the same distance provided A : B = 4 : 3.

A papaya is cut into two pieces in the ratio of 3 : 4 by weight. The bigger of the two is further cut in the ratio of 4 : 5 by weight. Find the ratio of each of the three pieces.

In a kilometer race Ravi beats Rahul by 150 m and Rahul beats Rakesh by 240 m. By how many meters does Ravi beat Rakesh in the same race.

A train starts with full of passengers. At the first station it drops one-fifth of the passengers and takes 320 more. At the second station it drops three-fifth of the new total and takes 10 more. On arriving at the third station, it is found to have 250 passengers. Find the number of passengers in the beginning.

A ball of diameter 14 cm is floating so that the top of ball is 6 cm above the smooth surface of the pond. What is the circumference in centimeters of the circle formed by the contact of the water surface with the ball?

2 liters of pure milk is added to 8 liters of a milk solution containing 8% milk. Find the percentage concentration of the resultant solution.

3 liters of pure spirit is added to 5 liters of a spirit solution contains 20% spirit. What is the concentration of the spirit in the resultant solution?

The diameter of a road roller is 36 cm and its length is 84 cm. It takes 300 complete revolutions moving once over to level the stretch of the road. If the cost of leveling is ₹80 per m², then the total cost of leveling works out to.