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In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. In ΔABC AB = 6√3 cm; AC = 12 cm; BC = 6 cm AB2 = 108 cm2; AC2 = 144 cm2; BC2 = 36 cm2 AB2 + BC2 = (108 + 36) cm2 = 144 cm2 ⇒ AC2 = AB2 +BC2 Pythagoras theorem satisfied. Thus, ∠ABC = 90°
A jug initially contains 80 liters of a mixture of milk and chocolate, with the quantity of chocolate being 30% of the total mixture. A liters of the mi...
In a class, 60% of the students are boys, and the rest are girls. If 40% of the boys and 50% of the girls passed an exam, what percentage of the total s...
A shopkeeper has 76 kg rice a part of it, he sells at the profit of 48% and rest at loss of 28% and he get the loss of 16% so what is the quantity sold ...
38.182 - ? - 27.122 = 25.892
In what ratio rice at 47 Rs/kg should be mixed with the rice at 28 Rs/kg so that selling mixture at Rs 45 per kg gives the profit of 25% if the quantity...
In jar 1, 280 litres of milk was mixed with 50 litres of water. Some of the mixture was taken out from Jar 1 and put into Jar 2. When 36 litres of milk ...
In what ratio rice at 48 Rs/kg should be mixed with the rice at 34 Rs/kg so that selling mixture at Rs 46 per kg gives the profit of 15% if the quantity...
A vessel contains 50 liters of a solution with 40% acid. 10 liters of this solution are removed and replaced with a solution containing 70% acid. The pr...
In what ratio coffee at 320 Rs/kg should be mixed with the coffee at 370 Rs/kg so that after mixture its rate become 335 Rs/kg if the quantity of 1st ty...
The ratio of liquor and soda in a mixture of 70 liters is 3:2. How much liquor should be mixed to make the ratio 7:4?
